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TEN-DECIMAL TABLES OF THE LOGARITHMS OF COMPLEX NUMBERS AND FOR THE TRANSFORMATION FROM CARTESIAN TO POLAR COORDINATES TABLES OF THE FUNCTIONS In x, arctan x, Hn (l+# 2 ), \/l+x 2 Edited by L. A. LYUSTERNIK Translated by D. E. BROWN PERGAMON PRESS OXFORD · LONDON . EDINBURGH ■ NEW YORK PARIS · FRANKFURT 1965

Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

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Page 1: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

TEN-DECIMAL TABLES OF THE LOGARITHMS OF COMPLEX

NUMBERS AND FOR THE TRANSFORMATION FROM CARTESIAN

TO POLAR COORDINATES

TABLES OF THE FUNCTIONS In x, arctan x, Hn (l+#2), \/l+x2

Edited by L. A. LYUSTERNIK

Translated by D. E. BROWN

PERGAMON PRESS OXFORD · LONDON . EDINBURGH ■ NEW YORK

PARIS · FRANKFURT

1965

Page 2: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

P E R G A M O N P R E S S L T D .

Headington Hill Hall, Oxford 4 & 5 Fitzroy Square, London W. 1

P E R G A M O N P R E S S (SCOTLAND) L T D .

2 & 3 Teviot Place, Edinburgh 1

P E R G A M O N P R E S S I N C .

122 East 55th Street, New York 22, N.Y.

G A U T H I E R - V I L L A R S E D .

55 Quai des Grands-Augustins, Paris 6

P E R G A M O N P R E S S G.m.b.H.

Kaiserstrasse 75, Frankfurt am Main

Distributed in the Western Hemisphere by

T H E M A C M I L L A N C O M P A N Y · N E W Y O R K

pursuant to a special arrangement with P E R GAM O N P R E S S L I M I T E D

Copyright © 1965 P E R G A M O N P R E S S L T D .

Library of Congress Catalog Card Number 63-18926

This translation has been made from a book edited by L. A. Lyus-ternik entitled flecHmu3HanHbie ιηαδΛΧΐψΑ ΛθζαριχφΜθβ κοΜΠΛβκε-Hux nuceA u nepexoda om Rempmoemi Koopdunam κ ΠΟΛΗΡΗΗΜ. TaÓAUlfbl (ßyHKIJUÜ In x, arctan xf £ In (1-fa;2) jAl-fa?2 (Tablitsy logarifmov komplekenykh chisel i perekhoda ot Dekartovykh koordinat k polyamym. Tablitsy ftmktsii In xt arctan x, £ ln (1-fa;2), j / l + α 2 )

published in 1952 by the Academy of Sciences of the U.S.S.R. Moscow

Page 3: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

DESCRIPTION OF THE TABLES AND METHODS FOR THEIR USE

THE PRESENT tables were compiled in the Department for Approximate Computations of the Institute of Exact Mechanics and Computational Methods of the U.S.S.R. Academy of Sciences. The computations were carried out by this department in conjunction with the Computational-Experimental Laboratory of the Institute.

The tables contain ten-decimal values of the following functions:

(a) In a; 1 ̂ x < 10, with interval 0.001

(b) £ In (1 + x2) 0 ^ x ^ 1, with interval 0.001

(c) arctan x O ^ z ^ l , with interval 0.001

(d) YI +x2 O ^ z ^ l , with interval 0.001

(e) A supplementary table (insert) for computing the coefficient £ x (1 — x) used in quadratic interpolation with an interval of 0.001 in x.

This supplementary sheet also gives the values of In 10n, where n is an integer, 1 ^ n ^ 25, and the quantities ln(—1) and In i.

Since In 10_ n = — In 10", the insert also covers the values of In 10" for — 2 5 ^ n^— 1.

The tables in the book itself, apart from direct presentation of the functions enumerated, enable the following fundamental processes to be carried out:

(a) The evaluation of In x for any positive x using the relationship Ina; = In 10n + In x', where 1 ^ x' < 10, and n is an integer.

(b) The evaluation of arctan x for any real x, using the relationships

arctan( — x) — — arctan x and arctan (1/|#|) = γ2π — arctan | x|.

(c) The evaluation of the logarithm of a complex number using the following relationships:

Page 4: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

Ten-Decimal Tables of Logarithms of Complex Numbers

1. If A^ B^O, then

in(A+Bi) = lnA + lnfl + B :

1 = In A + - In 2 m 1 + — -f- i arctan B

2. If A ^ ~B ^ 0, then

n̂ (A+Bi) = In J + l n [ l - I — I i )

1 = In A + - In 2

l +(f)1- i arctan

3. If 0 i s 5 ^^4 or 0 ^ — £ ^ ^ 4 , then

In (A + £i ) = In ( - 1) + In (— A — Bi),

and the working is carried out as in case 1 if B < 0, and as in case 2 if B > 0.

4. If |j?| > |4 | , then

In (A + Bi) = In i + In (B—Ai)

and we arrive at one of cases 1-3. (d) The evaluation of the polar coordinates (ρ, φ) of a point with Car­

tesian coordinates (x, y) using the relationships:

and

Q = \X\

Q=-\y\

1 + [ — I ; φ = arctan —, for |x | > | y \

arctan — , for I x I < I y I

The quadrant of the angle φ is obtained as usual from the signs of the Cartesian coordinates.

For convenience in using the tables, the quantities % ln(l + x2), arctan x and Y 1 + x2 for the same x are given in the same line.

As is clear, in addition to the use of the tables, these processes require the use of division, and, in case (d), multiplication and division.

For all four functions covered by the book, the error with linear inter­polation does not exceed 1.25 x 10~7, whilst the error with Bessel quad­ratic interpolation does not exceed 2 x 10 ~n .

The row corresponding to the value a of the argument gives the dif­ferences

where h = 0.001 is the interval of the argument.

Page 5: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

Ten-Decimal Tables of Logarithms of Complex Numbers

The formula for quadratic interpolation is

f(a+xh) =f(a) +χΔχ— lAx(l — x) L2.

EXAMPLES

1. x = 0.347. To find 14 ln(l + ar>). We read off from the table on p. 97, (left-hand side):

Vt In (1 + x2) = 0.0568468987.

2. x = 0.34758675. To find % ln(l + x2) to seven places. Linear inter­polation is adequate for finding the value of the function to an accuracy of 1 to 2 units of the seventh place:

l/2 In (1 + x2) = 0.0568469 + 0.58675x0.00031006 = 0.0570288.

3. x = 0.34758675. To find !4 ln(l + %2) to ten places. Quadratic inter­polation gives

14In (1 -fa;2) = 0.0568468987 + 0.58675x0.0003100584 —

— -| X 0.58675 X 0.41325 x 0.0000007000 = 0.570287406.

REMARK. It is more convenient to make use of the supplementary table (insert). We obtain in this case

0.0568468987 + 0.58675x0.0003100584 - 0.1212x0.0000007000 = 0.0570287406.

4. x = 0.574862. To find arctan x to six places. We can confine ourselves to linear interpolation:

arctan x = 0.5210824 + 0.862 x 0.0007519 = 0.521731.

5. x = 0.574862. To find arctan x to ten places. Quadratic interpolation gives

0.5210824285 + 0.862x0.0007518513 + 0.0595x0.0000006495 = 0.5217305630.

6. x = 6.0795211. To find In x to seven places. On confining ourselves to linear interpolation, we get

In x= 1.80484021 -f- 0.5211 X 0.00016449 = 1.8049259.

7. x = 6.0795211. To find Ina; to ten places. Quadratic interpolation gives

Ina; = 1.8048402088 + 0.5211 x 0.0001644872 + + 0.1248x0.0000000271 = 1.8049259265.

V I I

Page 6: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

Ten-Decimal Tables of Logarithms of Complex Numbers

8. x = 0.623352. To find ]/l+x* to six places.

\l+x2 = 1.1781889 + 0.352 X 0.0005291 = 1.178375.

9. x = 0.623352. To find 1/1 +x* to ten places.

I / l + x 2 + 1.1781888643 + 0.352 X 0.0005290833 — —0.1140 X 0.0000006110= 1.1783750320.

10. 2 = 6 + 3i. To find In 2. The components of 2 satisfy condition 1, p. vi.

In 2 = In 6 + —In [l + (—VI + i arctan —

= In 6 + — ln(l + 0.52) + i arctan 0.5 2

= 1.7917594692+ 0.1115717756+i 0.4636476090 In 2 = 1.9033312448 + i 0.4636476090.

11. 2 = 5 — 4i. To find Inz. The components of z satisfy condition 2, p. vi.

In 2 = ln 5 + — In (1 +0.8 2) —ί arctan 0.8 2

= 1.6094379124 + 0.2473481209— i 0.6747409422. = 1.8567860333 — i 0.6747409422.

12. 2 = — 5 — 3 i . To find In z. The components of 2 satisfy condition 3, p. vi,

1η2 = 1η[(—1)(5 + 3ί)] = 1η(—1) + 1η(5 + 3ί)

= In (— 1) + In 5 + — In ( 1 + 0.62) + i arctan 0.6 2

= i 3.1415926536 + 1.6094379124 + 0.1537423498 + + i 0.5404195003

In 2 = 1.7631802622 + i 3.6820121539.

13.2 = 4 + 5i. To find In 2. The components of 2 satisfy condition 4, p. vi.

In 2 = In i + In (5—4i) = i 1.5707963268 + +1.8567860333—i 0.6747409422

(see example 11) In 2 = 1.8567860333 + i 0.8960553846.

V U ]

Page 7: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

Ten-Decimal Tables of Logarithms of Complex Numbers

14. To find the polar coordinates of the point A (5, 2).

Q == 5 I/ 1 + ί — ) 2 = 5 X y 1 + 0.4 2 = 5 X 1.0770329614

= 5.3851648070. ç> = arctan 0.4 = 0.3805063771.

15. Interpolation is greatly simplified in the case of computations to five places and can be carried out mentally.

For example : x = 0.34759. Find V2 ln(l +x2).

Viln(l +a 2 )= 0.05685 + 0.00031 X 0.59 = 0.05685 + 0.00018 = 0.05703.

Page 8: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

TABLES

Page 9: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

I I.000 I 1.001 I 1.002 I 1.003 I 1.004

I 1.005 1 1.006 I 1.007 I i,008

1.009

I I.010 I 1.on I I.012 I 1.013 I 1.014

I 1.015 1.016 I.OT7 1.018

I 1.019

I 1.020 I I.021 1 1.022

I.O23 1 1.024

I T025 1 1.Q26 I 1.027

1.028 1.029

1 T.030 I 1.031 I 1.032

1.035 1.034

1.035 1.036 1.037 1.038 1.039

1.040 1.041 1.042 1.043 T 044

1.045 1.046 J 1.047 1 1,048 1.049

In x

0.0000000000 0.0009995003 0.0019980027 0.0029955090 0.0039920213

0.0049875415 0.0059820717 0.0069756 137 0.0079681 696 0.0089597414

0.0099503 309 0.0109399400 0.0119285 709 0.0129162253 0.0139029052

0.0148886 125 0.0158733492 0.0168571 171 0.0178399 181 0.0188217 542

0.0198026273 0.0207825 392 0.0217614918 0.0227394870 0.0237165 266

0.0246926 126 0.0256677467 0.0266419 309 0.0276151 670 0.0285874569

0.0295588022 0.0305292050 0.0314986671 0.0324671 901 0.033^547761

0.0344014267 0.0553671438 0.0363319292 0.0372957847 0.0382587 121

0.0392207 132 0.0401817 896 0.0411419433 0.04210η 760 0.0430594895

0.0440168854 0.0449733656 O.0459289319 0.0468835 859 0.0478373 294

Δ ι

9995 003 9985 024 9975 o63 9965 123 9955 202

9945 302 9935 420 9925 559 9915 718

1 9905 895

9896 091 9886 30c 9876 544 9866 799 9857073

9847 367 9837 679 9828010 9818361 9808731

9799 " 9 9789 526 9779 952 9770 396 9760 860

9751 341 9741 842 9732 361 9722 899 97*3 453

9704 028 9694 621 9685 230 9675 860 9666 506

9657 171 9647 854 9638555 9629 274 9620011

9610 764 9601537 9592 327 9583135 9573 959

9564802 9555 663 9546 540 9537 431 9528348

- Δ 2

9990 9970 9950 9930 9910

9891 9871 9851 9832 98i3

1 9793 9773 9755 9735 9716

9697 9678 9659 9640 9621

9602 9583 9565 9546 9527

9509 9490 9472 9454 9455

9416 9399 9380 9362 9344

9325 9308 9289 9272 9255

9237 9218 9201 9184 9166

9148 9131 9114 9096 9079

X

1.050 T.051 1.052 1.053 1.054

1.055 1.056 1.057 1.058 1.059

1.060 T.061 1.062 T.063 1.064

1.065 1.066 1.067 1.068 1.069

1.070 1.071 1.072 1.073 1.074

T.075 1.076 1.077 T.078 1 1.079

1.080 1 1.081 T.082 1.083 1.084

1.085 1,086 1.087 T.088 1.089

1.090 1.091 1.092 1.093 1.094

1.095 1.096 1.097 1,098 1.099

In x

0.0487901 642 0.0497420919 0.0506931 143. 0.0516432 332 0.0525924 501

0,0535407 669 0.0544881 853 0.0554347069 0.0563803 334 0.0573250666

0.0582689081 0.0592118 596 0.0601539228 0.0610950994 0.0620353 909

0.0629747 992 0.0639133 257 0.0648509723 0.0657877405 0.0667236 320

0.0676586485 0.0685927915 0.0695260626 0.0704584636 0.0713899 961

0.0723206616 0.0732504617 0.0741793 982 0.0751074725 0.0760346863

0.0769610411 0.0778865 387 0,0788111 804 0.0797349680 0.0806579030

0.0815799 870 0.0825012 215 0.0834216 081 0.0843411 484 0.0852^98440

0.0861776962 0.0870947069 0.0880108773 0.0889262092 0.0898407040

0.0907545 635 0.0916671 885 0.0925791 813 0.0934903431 | 0.0944006754

1 Δι

1 95*9 277 9510 224 9501 189 9492 169 9483 168

9474184 9465 216 9456 265 9447 332 9438415

9429 5*5 9420632 9411 766 9402915 9394083

9385 265 9376 466 9367 682 9358915 9350165

9541 430 9332 711 9324010 9315 325 9306655

9298 ooi 9289 365 9280 743 9272 138 9263 548

9254 976 9246417 9237876 9229350 9220 840

9212 345 9203 866 9195 403 9186956 9178522

9170 107 9161 704 9*53 319 9144948 9156593

9128252 9119 928 9111618 9*03 323 9095044

- Δ 2

9062 9044 9028 9010 8992

8976 8959 8942 8925 8908

8891 8874

; 8859 8841 8825

8808 8792 8775 8758 8743

8727 8710 1 8693 8678 8662

8645 8629 8613 8598 8581

8565 8550 8534 8518 8503

8487 8471 8455 8440 I 8425

8409 8394 8378 8363 8348

8333 85*7 8303 8287 8272 1

1

Page 10: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

Ι.ΪΟΟ T. 101 I . I 0 2 i 103 I . I 0 4

1.105 1 .106 1 .107 I . I C 8 1.109

I . I I O I . I I I I . I 1 2 I . I 1 3 1 .114

1.115 1 .116 1 .117 1 .118 1 .119

1 .120 1.121 1 .122 I . I 2 3 I . I 2 4

I . I 2 5 I . I 2 6 1 .127 I . I 2 8 I . I 2 9

1 1 .130 I . I 3 I I . I 3 2 I . I 3 3 I . I 3 4

I . I 3 5 I . I 3 6 1 ,137 I . I 3 8 I . I 3 9

1 1 .140 1 .141 1 .142 1 .143 1 .144

1.145 1 .146 1 .147 1 .148 1 .149

In x

0 .0953101 798 0 .0962188 577 0 . 0 9 7 1 2 6 7 107 0 . 0 9 8 0 3 3 7 4 0 3 0 . 0 9 8 9 3 9 9 4 7 9

0 .0998453 350 0 , 1 0 0 7 4 9 9 0 3 1 0 , 1 0 1 6 5 3 6 5 3 7 0 .1025565 883 0 . 1 0 3 4 5 8 7 0 8 4

0 . 1 0 4 3 6 0 0 153 0 .1052605 107 0 .1061601 958 0 . 1 0 7 0 5 9 0 7 2 3 0 . 1 0 7 9 5 7 1 4 1 5

0 . 1 0 8 8 5 4 4 0 4 9 0 . 1 0 9 7 5 0 8 6 4 0 O.II06465 201 O . I I I 5 4 1 3 7 4 7 O . H 2 4 3 5 4 2 9 3

O . I I 3 3 2 8 6 8 5 3 O . I I 4 2 2 I I 441 O . I I 5 I I 2 8 0 7 I O.I160036 758 O . I I 6 8 9 3 7 5 1 5

O . I I 7 7 8 3 0 3 5 7 0 ,1186715 297 0 ,1195^92 351 O.I204461 531 0 ,1213322 852

O.I222176 327 0 . 1 2 3 I 0 2 I 97I 0 . 1 2 3 9 8 5 9 7 9 8 O.I24868982O o , i 2 5 7 S i 2 0 5 3

0 . 1 2 6 6 3 2 6 5 0 9 0 . 1 2 7 5 1 3 3 2 0 3 0 . 1 2 8 3 9 3 2 1 4 8 0 . 1 2 9 2 7 2 3 3 5 7 0 . 1 3 0 1 5 0 6 8 4 5

0 . 1 3 1 0 2 8 2 6 2 4 0 . 1 3 1 9 0 5 0 7 0 9 0 . 1 3 2 7 8 1 1 1 1 2 0 . 1 3 3 6 5 6 * 8 4 8 0 . 1 3 4 5 3 0 8 9 3 0

0 . 1 3 5 4 0 4 6 3 7 0 0 . 1 3 6 2 7 7 6 183 0 . 1 3 7 1 4 9 8 3 8 1 0 . 1 3 8 0 2 1 2 9 7 9 0 . 1 3 8 8 9 1 9 9 8 9

Δ ,

9086 779 9Ο7853Ο 9Ο7Ο 296 9062 Ο76 9O5387I

9Ο45 68I 9O37506 9Ο29 346 902I 201 9OI3069

9ΟΟ4954 8 9 9 6 8 5 I 8988 765 8980 692 8 9 7 2 6 3 4

8964 591 8 9 5 6 5 6 I 8948 546 894Ο 546 8 9 3 2 5 6 0

8 9 2 4 5 8 8 891663O 8908 687 89ΟΟ757 8892 842

8884 940 8 8 7 7 0 5 4 8869 180 8 8 6 1 3 2 I 8853 475

8845 644 8 8 3 7 8 2 7 8830 022 8822 233 8 8 1 4 4 5 6

8806 694 8798945 8791 209 8783 488 8775 779

8 7 6 8 0 8 5 8760 403 8 7 5 2 7 3 6 8745 082 873744Ο

8 7 2 9 8 1 3 8722 I98 8 7 1 4 5 9 8 8 7 0 7 0 I C 8699435

- Δ 2

8257 8242 8227 8212 8 i 9 7

8182 8167 8152 8138 8123

8109 8094 8079 8005 80^0

8036 8022 8007 7993 7979

7965 7950 7936 7922 7908

7894 7880 7866 7852 7838

7824 7811 7797 7783 7769

7755 7742 7728 7715 7701

7688 7674 7660 7648 7634

7621 7607 7594 7581 7568

X

1 .150 1 .151 1 .152 1-153 1.1S4

1.155 1 .156 1 .157 1 .158 1-159

1 .160 1.161 1 .162 1 .163 1 .164

1.165 1 .166 1 .167 1 .168 1 .169

1 .170 1.171 1 .172 1 .173 1 .174

1.175 1 .176 1-177 1 .178 1 .179

1 .180 1.181 1 .182 1.183 1 .184

1.185 1 .186 1 .187 1 .188 1 .189

1 .190 1 .191 1 .192 1 .193 1 .194

1.195 1 ,196 1 .197 1 .198 1 .199

in x

0 . 1 3 9 7 6 1 9 4 2 4 0 .1406311 297 0 .1414995 623 0 . 1 4 2 3 6 7 2 4 1 3 0 .1432341 681

0 .1441003 440 0 , 1 4 4 9 6 5 7 7 0 3 0 . 1 4 5 8 3 0 4 4 8 2 0 .1 4 6 6 9 4 3 792 0 . 1 4 7 5 5 7 5 6 4 4

0 . 1 4 8 4 2 0 0 051 0 . 1 4 9 2 8 1 7 0 2 7 0 .1501426 584 0 . 1 5 1 0 0 2 8 7 3 5 0 .1518623 493

0 . 1 5 2 7 2 1 0 8 7 0 0 . 1 5 3 5 7 9 0 8 7 9 0 . 1 5 4 4 3 6 3 5 3 3 0 . 1 5 5 2 9 2 8 8 4 4 0 . 1 5 6 1 4 8 6 8 2 5

0 . 1 5 7 0 0 3 7 4 8 8 0 . 1 5 7 8 5 8 0 8 4 6 0 . 1 5 8 7 1 1 6 9 1 2 0 . 1 5 9 5 6 4 5 6 9 7 0 . 1 6 0 4 1 6 7 214

0 .1612681 476 0 , 1 6 2 1 1 8 8 4 9 5 0 . 1 6 2 9 6 8 8 2 8 3 0 . 1 6 3 8 1 8 0 8 5 2 0 . 1 6 4 6 6 6 6 2 1 6

0 . 1 6 5 5 1 4 4 3 8 5 0 .1663615 372 0 . 1 6 7 2 0 7 9 1 9 0 0 ,1680535 850 0 .1688985 365

0 , 1 6 9 7 4 2 7 7 4 6 0 . 1 7 0 5 8 6 3 0 0 6 0 .1714291 156 0 . 1 7 2 2 7 1 2 2 0 9 0 . 1 7 3 1 1 2 6 1 7 7

0 . 1 7 3 9 5 3 3 0 7 1 0 . 1 7 4 7 9 3 2 9 0 4 0 . 1 7 5 6 3 2 5 6 8 6 0 . 1 7 6 4 7 1 1 4 3 1 0 . 1 7 7 3 0 9 0 150

0 , 1 7 8 1 4 6 1 8 5 4 0 . 1 7 8 9 8 2 6 5 5 5 0 . 1 7 9 8 1 8 4 2 6 6 0 . 1 8 0 6 5 3 4 9 9 7 0 . 1 8 1 4 8 7 8 7 6 0

Δι

8691 873 8684 326 8676 790 8669 268 866 i 759

8654 263 8646 779 8 6 3 9 3 1 0 8 6 3 1 8 5 2 8624 407

8 6 1 6 9 7 6 8 6 0 9 5 5 7 8 6 0 2 1 5 1 8594 758 8 5 8 7 3 7 7

8 5 8 0 0 0 9 8 5 7 2 6 5 4 8 5 6 5 3 1 1 8 5 5 7 9 8 1 8 5 5 0 6 6 3

8543 358 8 5 3 6 0 6 6 8 5 2 8 7 8 5 8 5 2 1 5 1 7 8514 262

8 5 0 7 0 1 9 8499 788 8 4 9 2 5 6 9 8485 364 8478 169

8470 987 8463 818 8 4 5 6 6 6 0 8 4 4 9 5 1 5 8 4 4 2 3 8 1

8435 260 8428 150 8 4 2 1 0 5 3 8 4 1 3 9 6 8 8406 894

8399 833 8 3 9 2 7 8 2 8385 745 8 3 7 8 7 1 9 8371 704

8364 701 8 3 5 7 7 1 1 8 3 5 0 7 3 1 «343 763 8 3 3 6 8 0 8

- Δ ,

7554 7542 7529 7515 7502

7490 7476 7464 7451 7438

7425 7412 7399 7387 7374

7361 7349 7336 7324 7 3 H

7298 7287 7274 7261 7249

7237 7225 7212 7200 7188

1 7175 7164 7151 7140 7127

7110 7103 7091 7080 7067

7056 7042 7032 7021

1 7009

6996 6985 6974 6961 6950

2

Page 11: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

1.200 1.201 1.202 I.2O3 I.204

I.205 i . 206 1.207 1.208 1.209

1.210 1.2II 1.212 1.213 1.214

i.215 1.216 1.217 1.218 1.219

1.220 1.221 1.222 I.223 1.224

I.225 1.226 I.227 I.228 i .229

1.230 1.231 1.232 1.233 1,234

1,235 1,236 1.257 1.238 1.239

1.240 1.241 1.242 1.243 1.244

1.245 1.246 1.247 1.248 1.249

In x

0.1823215 568 0.1831545 431 0.1839868361 0.1848184370 0.1856493469

0.1864795 669 0.1873090983 0.1881579421 0.1889660995 0.1897935716

0.1906203 596 0.1914464646 0.1922718876 0.1930966 300 0.1939206926

0.1947440768 0.1955667835 0.1963888 140 0.1972101 693 0.1980308505

0.1988508587 0.1996701 951 0.2004888607 0.2013068567 0.2021241 841

0.2029408 440 0.2037568375 0.3045721 657 0.2053868 297 0.2062008 306

0.2070141 694 0.2078268472 0.2086388651 0.2094502 242 0.2102609 255

0.2110709 701 0.2118803 590 0.2126S90934 0.2134971 743 0.2143046026

0.2151113 796 0.2159175 062 0.2167229835 0.2175278 125 0.2183319943

0.2191355299 0.2199384204 0.2207406667 0.2215422699 0.2223432311

Δχ

8529863 8322930 8316009 8509 099 8502 200

8295 3χ4 8288438 8281574 8274 721 8267 88ο

8261 050 8254230 8247 424 8240 626 8233 842

8227 067 8220 305 8213553 8206 812 8200 082

8193 364 8186656 8179960 8173 274 8166 599

8159935 8153282 8146 640 8140009 8133388

8126 778 8120 179 8113 591 8107 013 8100446

8093 8 8 9 8087 344 8080 809 8074 283 8067 770

8061 266 8054 773 8048 290 8041 818 8035 356

8028 905 8022463 8016032 8009 612 8003 202

- Δ 2

6939 6927 6916 6905 6892

688ι 6870 68<9 6847 6836

6825 6813 6802 6791 6780

6768 6757 6746 6735 6724

6713 6702 6691 6680 6669

6658 6647 6636 6626 6615

6604 6593 6583 6572 6562

6551 6540 6530 6519 6509

6498 6488 6477 6467 6456

6446 6436 6425 6415 6405

X

1.250 1.251 1,252 1.253 1.254

1.255 1.256 1.257 1.258 1.259

1.260 1.261 1,262 1.263 1,264

1.265 1.266 1.267 1.268 1.269

1.270 1.271 1.272 1.273 1.274

1.275 1.276 1.277 1.278 1.279

1.280 1.281 1.282 1.285. 1.284

1.285 1.286 1.287 1.288 1.289

1.290 1.291 1.292 1.295 1.294

1.295 1.296 1.297 1.298 1.299

In x

0.2251455 5X3 0 2259452 515 0.2247422 727 0.2255406759 0.2265584422

0.2271555 726 0.2279520680 0.2287279 296 o.2295251585 0.2505177551

0.251x117 210 0.3519050570 0.2526977641 0.2554898454 0.2542812957

0.2550721 222 0.2558623 237 0.2366519015 0.2574408560 0.2582291 887

0.2590169005 0.2598039922 0.2405904649 0.2413763 196 0.2421615 571

0.2429461-786 0.2437301 849 0.2445135771 0.2452963 560 0.2460785 226

0.2468600779 0.2476410229 0.2484213 585 0.2492010856 0.2499802053

0.2507587183 0.2515366258 0.2523139286 0.3530906277 0.2538667340

0.3546432184 0.2554171 119 0.2561914054 0.2569650998 0.2577381 961

02585106 952 0.2592825979 0.2600539055 0.2608246183 0.2615947377

Δ ΐ

7996 8o2 7990412 7984052 7977665 7971504

7964 954 7958616 7952287 7945 968 7939659

7933 36<> 7927 071 7920 795 7914 525 7908 265

7902015 7895 776

7889 547 7885 327 7877 118

7870917 7864 727 7*58547 7852 375 7846215

7840 061 7833 922 7827 789 7821 666 7815553

7809 450 7805 556 7797 271 7791 197 7785 130

7779075 7775 028 7766 991 7760 963 7754944

7748 935 7742 935 7736 944 7730965 7724991

7719 037 7715074 7707 130 7701 194 7695 368

- Δ ,

6395 6585 6375 6364 6354

6344 6334 6534 6514 6504

6294 6284 6274 6264 6254

6244 6254 6224 1 6214 I 6205 I

6195 6185 6176 6166 6156

6146 6157 6128 6II8 6108

6098 6089 6079 6070 6061

6051 6042 6052 6025 6014

6004 5995 5986 5977 5968

5958 5949 5940 5931 5922

3

Page 12: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

I 1 .300 1 1 3 0 1 I 1 .302

1 .303 1 .304

1.305 I 1 .306 I i . 3 0 7

1 .308 i 309

I 1 .310 I 1 3 1 1 1 1 '312

1*313 ! « 3 i 4

1 315 I 1 .316

1 < 3 I Z 1.318 1 .319

1 320 I 1.321 I 1 .322

1 .323 1 .324

1.325 I 1 .326

1 ,327 1 .328 1.329

1 .330 T.331 1 .332 1.333 1 .334

1.335 1 .336 1-337 1 .338 1-339

1 .340 1.341 1-342 1 3 4 3 1-344

1.345 1 .346 1-347 1 .348 1-349

In x

0.2623642645 0.2631331995 0.2639015438 0.2646692981 0.2654364635

0.2662030408 0.2669690309 0.2677344346 0.2684992530 0.2692634869

0.2700271 372 0.2707902048 0.2715526905 0.2723145953 0.2730759201

0.2738366656 0.2745968329 0.2753564228 0.2761154 361 0.2768738737

0.2776317 366 0.2783890255 0.2791457414 0.2799018851 0.2806574575

0.2814124594 0.2821668 918 0.2S29207554 0.2836740 511 0.2844267797

0.2851789422 0.2859305 394 0.2866815 721 0.2874320412 0.2881819475

0.2889312 919 0.2896800751 0.2904282 981 0.2911759617 0.2919230667

0.292669e» 140 0.2934156043 0.294*610385 0.2949059175 0.2956502421

0.2963940 131 0.2971372 31*2 0.2978798974 0.2986220 125 0.2993635 772

Δ ΐ

7689 350 7683 443 7677 543 7671654 7665 773

7659901 7654037 7648 i84 7642 339 7636 503

7630 676 7624857 7619048 7613 248 7607455

7601 673 7595 899 7590133 7584376 7578629

7572889 7567159 7561437 7555 724 7550019

7544 324 7538636 7532957 7527286 7521 625

7515972 7510327 7504691 7499 063 7493 444

74«7 832 7482 230 7476 636 7471050 7465 473

7459903 7454 342 7448 790 7443 246 7437710

7432 181 7426 662 7421 151 7415647 7410153

- Δ 2

5912 5903 5894 5885 $ 8 7 6

5868 5858 5849 5840 5831

5823 5814 5805 5796 5787

5778 5770 5761 5752 5743

5735 5726 5717 5709 5700

5691 5683 5675 5666 5657

5649 5640

4 5632 5623 5615

5607 5598 5590 5581 5573

5565 5556 5548 5540 5532

5524 5515 5507 5499 5491

X

1 .350 1-351 1 .352 1 .353 1 .354

1.355 1 .356 1 .357 1 .358 1 .359

1 . 3 6 0 1 .361 1 .362 1 .363 1 .364

1.365 1 .366 1 .367 1 .368 1 .369

1 . 3 7 0 1.371 1 .372 1 .373 1 .374

1.375 1 .376 1 .377 1 .378 1 .379

1 .380 1 .381 1 .382 1 .383 1 .384

1.385 1 .386

^ s z 1 .388 1 .389

1 .390 1.391 1 .392 1.393 1 .394

1.395 1 .396 1-397 1 .398 1 .399

1 In x

0.3001045925 0.3008450590 0.3015849776 0.3023243 49 2

0.3030631745

0.3038014543 0.3045391895 0.3052763809 0,3060130291 0.3067491352

0.3074846997 0.3082197237 0.3089542077 0.3096881 527 0.3104215 594

0.3111544286 0.3118867611 0.3126185 577 0.3133498 192 0.3140805 463

0.3148107398 0.3155404006 0.3162695 293 0.3169981 268 0.3177261 938

0.3184537311 0.3191807395 0.3199072 197 0.3206331 726 0.3213585988

0.3220834992 0.3228078 744 0.3235317253 0.3242550527 0.3249778572

0.3257001 396 0.3264219008 0.3271431413 0.3278638621 0.3285840638

0.3293037471 0.3300229 129 0.3307415 619 0.3314596948 0.3321773 123

0.3328944153 0.3336110043 0.3343270803 0.3350426438 0.3357576957

Δ ΐ

7404 665 7399 i86 7393 716 7388253 7382 798

7377 352 7371 914 7366482 7361 061 7355 645

7350240 ! 7344 840

7339450 7334067 7328 692

7323 325 7317966 7312615 7307 271 7301935

7296 608 7291 287 7285 975 7280 670 7275 373

7270084 7264 802 7259 529 7254 262 7249 004

7243 752 7238 509 7253274 7228 045 7222 824

7217612 7212405 7207 208 7202017 7196833

7191*658 7186490 7181 329 7176 175 7171030

7165 890 7160 760 7155635 7150519 7145 409

- Δ ,

5483 S474 5466 5459 5450

5442 5455 5426 5418 5410

5402 5395 5386 5378 5371

5363 535< 5347 5340 5332

5324 5316 5308 5301 5293

5285 5277 5270 5262 5255

5247 5239 5232 5225 5217

5209 5202 5194 5187 5179

5171 5164 5157 5140 5142

5135 5127 5120 1 5113 5105

4

Page 13: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

e

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X

Page 14: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

1 .500 1-501 1 .502 1 .503 1-504

1-505 1 .506 1-507 i . 508 I 0 O 9

1 ,510 1,511 1 ,512

, 1 .513 1 .514

1.515 i , 5 i ó ι . S i 7 M** 1.519 1

1 .520 1.521 1 .522 1.523 τ . 5 2 4

1.525 1 .526 1 .527 1 .528 1 .529

M 3 0 1-531 1 .532 1.533 1 .534

1.535 1 . 5 3 6

1 .537 1 .538 ï -539

1 .540 1 .541 1 .542 1-543 1 .544

ï-545 T.546 1 .547 1 .548 1-549

In x

0 . 4 0 5 4 6 5 1 0 8 1 0 .4061315 527 0 .4067975 533 0 .4074631 108 0 . 4 0 8 1 2 8 2 2 5 5

0 , 4 0 8 7 9 2 8 9 8 2 0 ,4094571 294 0 . 4 1 0 1 2 0 9 196 0 . 4 1 0 7 8 4 2 6 9 6 0 .4114471 798

0 . 4 1 2 1 0 9 6 508 0 , 4 1 2 7 7 1 6 8 3 3 0 . 4 1 3 4 3 3 2 7 7 8 0 . 4 1 4 0 9 4 4 348 0 . 4 1 4 7 5 5 1 5 5 0

0 . 4 1 5 4 1 5 4 3 9 0 0 . 4 1 6 0 7 5 2 8 7 2 0 . 4 1 6 7 3 4 7 0 0 4 0 , 4 1 7 3 9 3 6 7 9 0 C.4180522 236

0 . 4 1 8 7 1 0 3 3 4 9 0 . 4 1 9 3 6 8 0 133 0 4200252 594 0 . 4 2 0 6 8 2 0 739 0 . 4 2 1 3 3 8 4 5 7 3

0 .4219944 TOI 0 . 4 2 2 6 4 9 9 329 0 , 4 2 3 3 0 5 0 2 6 2 0 , 4 2 3 9 5 9 6 9 0 7 0 .4246139 269

0 . 4 2 5 2 6 7 7 3 5 4 0 . 4259211 167 0 . 4 2 6 5 7 4 0 7 1 3 0 ,4272265 999 0 , 4 2 7 8 7 8 7 0 2 9

0 .4285303 810 0 . 4 2 9 1 8 1 6 3 4 7 0 . 4 2 9 8 3 2 4 6 4 6 0 . 4 3 0 4 8 2 8 7T1 0 . 4 3 1 1 3 2 8 5 4 9

0 . 4 3 1 7 8 2 4 164 o.43243i5 563 0 . 4 3 3 0 8 0 2 7 5 1 0 .4337285 734 0 . 4 3 4 3 7 6 4 5 1 6

0 . 4 3 5 0 2 3 9 103 0 . 4 3 5 6 7 0 9 502 0 . 4 3 6 3 1 7 5 7 1 6 0 . 4 3 6 9 6 3 7 7 5 2 0 .4376095 614

Δ,

6664446 6660 006 6655 575 6651 147 6646 727

6 6 4 2 3 1 2 6 6 3 7 9 0 2 6633 500 6629 102 6 6 2 4 7 1 0

6620 325 6 6 1 5 9 4 5 6611 570 6607 202 6602 840

6 5 9 8 4 8 2 6 5 9 4 1 3 2 6589 786 6585 446 6581 113

6576 784 6 5 7 2 4 6 1 6568 145 6 5 6 3 8 3 4 6559 528

6 5 5 5 2 2 8 6 5 5 0 9 3 3 6546 645 6542 362 6538085

6 5 3 3 8 1 3 6529 5 4 6

6525 286 6521 030 6 5 1 6 7 8 1

6 5 1 2 5 3 7 6508 299 6504 065 6499 838 6 4 9 5 6 1 5

6491 399 6487 188 6482 983 6478 782 6474 587

6 4 7 0 3 9 9 6466 214 6 4 6 2 0 3 6 6 4 5 7 8 6 2 6 4 5 3 6 9 5

- Δ 2

4442 4 4 3 6

4429 4424 4417

4412 44o6 4400 4395 4388

4382 4377 4371 4365 4360

4354 4348 4343 4336 4331

4326 4319 4313 4308 4303

4297 4291 4285 4280 4274

4269 4263 4258 | 4252 4246

4241 4236 4230 4225 4219

4213 4208 4203 4198 4191

4186 4181 4176 4170 4164

X

1 .550 1.551 1-552 1-553

1 1-554

1.555 1 .556 1.557 1 .558 1 .559

1 ,560 1.561 1 .562 1 .563 1 .564

1.565 1 .566

1.567. 1 .568 1 .569

1 ,570 1.571 1 .572 1.573 1.574

1-575 1.576 1-577 1 .578 1-579

1 .580 1.581 1 .582 1.5*3 1.584

1.585 1 ,586 1 .587 1 .588 1 .589

1 .590 1-591 1 .592 1.593 1-594

1-595 1 .596 1 .597 1 .598 1-599

in x

0 . 4 3 8 2 5 4 9 3 0 9 0 . 4 3 8 8 9 9 8 8 4 2 0 . 4 3 9 5 4 4 4 2 1 8 0 .4401885 442 0 . 4 4 0 8 3 2 2 519

0 , 4 4 1 4 7 5 5 4 5 6 0 , 4 4 2 1 1 8 4 258 0 . 4 4 2 7 6 0 8 9 2 9 0 . 4 4 3 4 0 2 9 4 7 4 0 .4440445 901

0 .4446858 213 0 , 4 4 5 3 2 6 6 4 1 5 0 . 4 4 5 9 6 7 0 5 1 4 0 . 4 4 6 6 0 7 0 514 0 , 4 4 7 2 4 6 6 4 2 1

0 .4478858 240 0 . 4 4 8 5 2 4 5 9 7 6 0 . 4 4 9 1 6 2 9 6 3 4 0 . 4 4 9 8 0 0 9 219 0 . 4 5 0 4 3 8 4 7 3 8

0 .4510756 194 0 . 4 5 1 7 1 2 3 5 9 3 0 . 4 5 2 3 4 8 6 9 4 0 0 .4529846 241 0 .4536201 500

0 . 4 5 4 2 5 5 2 7 2 3 0 . 4 5 4 8 8 9 9 9 1 4 0 .4555243 080 0 . 4 5 6 1 5 8 2 2 2 4 0 . 4 5 6 7 9 1 7 3 5 3

0 , 4 5 7 4 2 4 8 4 7 0 0 .4580575 582 0 . 4 5 8 6 8 9 8 6 9 3 0 . 4 5 9 3 2 1 7 8 0 9 | 0 . 4 5 9 9 5 3 2 9 3 4

0 . 4 6 0 5 8 4 4 0 7 3 0 .4612151 232 0 . 4 6 1 8 4 5 4 4 1 5 0 .4624753 628 0 .4631048 876

0 . 4 6 3 7 3 4 0 162 0 . 4 6 4 3 6 2 7 4 9 4 0 . 4 6 4 9 9 1 0 8 7 4 0 . 4 6 5 6 1 9 0 3 0 9 0 .4662465 804

0 .4668737 362 0 .4675004 990 0 .4681268 692 0 . 4 6 8 7 5 2 8 4 7 3 0.4693784 339

Δ,

6449 533 6445 376

6441 224 6437 077 6432 937

6428 802 6424 671 6 4 2 0 5 4 5 6 4 1 6 4 2 7 6412 312

6408 202 6404 099 6400 000 6 3 9 5 9 0 7 6391 819

6 3 8 7 7 3 6 6 3 8 3 6 5 8 6379 585 6 3 7 5 5 1 9 6 3 7 1 4 5 6

6367 399 6 3 6 3 3 4 7 6 3 5 9 3 0 1 6 3 5 5 2 5 9 6 3 5 1 2 2 3

6 3 4 7 1 9 1 6343 166 6 3 3 9 1 4 4 6 3 3 5 1 2 9 6331 117

6 3 2 7 1 1 2 6323 111 6319 116 6315 125 6311 139

6 3 0 7 1 5 9 6303 183 6 2 9 9 2 1 3 6295 248 6291 286

6 2 8 7 3 3 2 6283 380 6 2 7 9 4 3 5 6 2 7 5 4 9 5 6271 558

6 2 6 7 6 2 8 6263 702 6 2 5 9 7 8 1 6 2 5 5 8 6 6 6 2 5 1 9 5 3

- A

4159 4154 4149 4M3 4137

4133 4128 4122 4116 1 4112

4106 4101 4096 4000 I 4085

4080 1 4075 4069 4064 I 4060 I

4054 4049 4044 4039 4034

4028 4023 4018 4013 4008

4003 3998 3993 3987 3983

3978 3973 3967 3963 3958

3953 3948 3942 3938 3<*3

3928 3923 3918 3914 3909

6

Page 15: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

1. 6θΟ 1.601 1 .602 1.603 1.604

1.605 1 .606 1 .607 1 ,608 1 .609

i . 6 1 0 1 .611 1 .612 1.613 1 .614

1.615 1 ,616 1 .617 1,618 1 ,619

1 .020 I . 6 2 I I . 6 2 2 I . 6 2 3 I . 6 2 4

I . 6 2 5 I . 6 2 6 I . 6 2 7 I . 6 2 8 1 ,629

I .63O 1,631 I . 6 3 2 I . 6 3 3 1 ,634

I . 635 I . 6 3 6 I . 6 3 7 1 ,638 1 ,639

I .64O i , 641 1 .642 1.643 1 .644

1.645 1 .646 1 .647 1 ,648 1 ,649

In x

0 . 4 7 0 0 0 3 6 292 0 . 4 7 0 6 2 8 4 340 0 . 4 7 1 2 5 2 8 4 8 6 0 , 4 7 1 8 7 6 8 736 0 , 4 7 2 5 0 0 5 0 9 4

0 , 4 7 3 1 2 3 7 5 6 6 0 , 4 7 3 7 4 6 6 1 5 5 0 . 4 7 4 3 6 9 0 8 6 8 0 .4749911 708 6 . 4 7 5 6 1 2 8 6 8 0

0.476234T 790 0 . 4 7 6 8 5 5 1 0 4 2 0 . 4 7 7 4 7 5 6 4 4 1 0 . 4 7 8 0 9 5 7 9 9 1

0 . 4 7 8 7 1 5 5 6 9 8

0 . 4 7 9 3 3 4 9 5 6 7 0 . 4 7 9 9 5 3 9 6 0 1 0 .4805725 806 0 , 4 8 1 1 9 0 8 186 0 , 4 8 1 8 0 8 6 747

0 . 4 8 2 4 2 6 1 492 0 . 4 8 3 0 4 3 2 4 2 8 0 . 4 8 3 6 5 9 9 5 5 7 0 . 4 8 4 2 7 6 2 8 8 5 0 . 4 8 4 8 9 2 2 4 1 7

0 . 4 8 5 5 0 7 8 158 0 . 4 8 6 1 2 3 0 H T 0 , 4 8 6 7 3 7 8 2 8 2 0 , 4 8 7 3 5 2 2 6 7 6 0 . 4 8 7 9 6 6 3 296

0 . 4 8 8 5 8 0 0 148 0 . 4 8 9 1 9 3 3 236 0 . 4 8 9 8 0 6 2 565 0 . 4 9 0 4 1 8 8 140 0 . 4 9 1 0 ^ 0 9 9 6 4

0 . 4 9 1 6 4 2 8 0 4 3 0 . 4 9 2 2 5 4 2 3 8 2 0 . 4 9 2 8 6 5 2 9 8 4 0 . 4 9 3 4 7 5 9 8 5 4 0 , 4 9 4 0 8 6 2 9 9 8

. 4 9 4 6 9 6 2 4 1 8 Ο.4953Ο58 121 O.495915OIIO 0 , 4 9 6 5 2 3 8 3 9 1 0 , 4 9 7 1 3 2 2 9 6 6

O . 4 9 7 7 4 0 3 8 4 2 O . 4 9 8 3 4 8 1 0 2 3 O . 4 9 8 9 5 5 4 5 1 2 Ο.4995624315 O.5OO1690436

Δ ι

6248 O48 6244 I46 624025O 6 2 3 6 3 5 8 6 2 3 2 4 7 2

6228 589 6 2 2 4 7 1 3 6220 84Ο 6 2 1 6 9 7 2 6213 T I °

6209 252 6205 399 6201 550 6197 707 6193 869

6 1 9 0 0 3 4 6 1 8 6 2 0 5 6182 380 6178 561 6 1 7 4 7 4 5

6 1 7 0 9 3 6 6167 129 6163 328 6 1 5 9 5 3 2 6 1 5 5 7 4 1

6 1 5 1 9 5 3 6148 171 6144 394 6140 620 6 1 3 6 8 5 2

6 1 3 3 0 8 8 6 1 2 9 3 2 9 6 1 2 5 5 7 5 6121 824 6 1 1 8 0 7 9

6 1 1 4 3 3 9 6 1 1 0 6 0 2 6106 870 6103 144 6099 420

6095 703 6091 989 6 0 8 8 2 8 1 6 0 8 4 5 7 5 6080 876

6077 181 6073 489 6069 803 6066 121 6 0 6 2 4 4 3

- Δ 2

3903 3«99 3894 3889 3884

3879 3874 3870 3865 3860

3855 3851 3846 3840 3836

3832 3827 3822 3817 3812

3808 3804 3797 3793 3789

3785 3779 3775 3771 3766

3761 3756 3752 3748 3742

3738 3734 3729 37^5 3720

3715 3711 3707 3702 3697

3693 3689 3684 3680 3675

X

1 .650 1 .651 1 .652 1 .653 1 .654

1.655 1 .656 1 .657 1 .658 1 .659

1 ,660 1.661 1 .602 1 .663 1 .664

1 .665 i , 6 6 6 1 .667 1 .668 T.669

1 ,670 1 .671 1 .672 1 .673 1 .674

1.675 1 .676 1 .677 1 .678 1 .679

1 .680 1 .681 T.682 1 .683 1 .684

1.685 1 .686 1 ,687 1 ,688 1 .689

i . 690 1 .691 1 .692 1 .693 T.694

1.695 1 ,696

1 .699

In x

0 . 5 0 0 7 7 5 2 8 7 9 0 . 5 0 1 3 8 1 1 649 0 . 5 0 1 9 8 6 6 7 5 1 0 . 5 0 2 5 9 1 8 188 0 .5031965 966

0 . 5 0 3 8 0 1 0 0 8 8 0 . 5 0 4 4 0 5 0 560 0 . 5 0 5 0 0 8 7 384 0 . 5 0 5 6 1 2 0 567 0 . 5 0 6 2 1 5 0 112

0 . 5 0 6 8 1 7 6 0 2 4 0 , 5 0 7 4 1 9 8 306 0 . 5 0 8 0 2 1 6 9 6 4 0 . 5 0 8 6 2 3 2 0 0 2 0 . 5 0 9 2 2 4 3 4 2 4

0 . 5 0 9 8 2 5 1 234 0 . 5 1 0 4 2 5 5 4 3 7 0 . 5 1 1 0 2 5 6 0 3 8 0 . 5 1 1 6 2 5 3 0 3 9 0 . 5 1 2 2 2 4 6 4 4 7

0 . 5 1 2 8 2 3 6 2 6 4 0 . 5 1 3 4 2 2 2 4 9 6 0 . 5 1 4 0 2 0 5 1 4 7 0 . 5 1 4 6 1 8 4 2 2 0 0 . 5 1 5 2 1 5 9 7 2 1

0 . 5 1 5 8 1 3 1 6 5 3 0 . 5 1 6 4 1 0 0 0 2 1 0 . 5 1 7 0 0 6 4 828 0 . 5 1 7 6 0 2 6 0 8 0 0 . 5 1 8 1 9 8 3 781

0 . 5 1 8 7 9 3 7 9 3 4 0 . 5 1 9 3 8 8 8 5 4 4 0 . 5 1 9 9 8 3 5 6 1 6

1 O.5205779 152 1 0 . 5 2 1 1 7 1 9 158

0 . 5 2 1 7 6 5 5 6 3 8 Ο . 5 2 2 3 5 8 8 5 9 6 O . 5 2 2 9 5 1 8 0 3 6 Ο . 5 2 3 5 4 4 3 9 6 2 Ο . 5 2 4 1 3 6 6 3 7 8

Ο . 5 2 4 7 2 8 5 2 8 9 O.52532O0699 O . 5 2 5 9 1 1 2 6 1 2 0 , 5 2 6 5 0 2 1 0 3 2 O . 5 2 7 0 9 2 5 9 6 2

O . 5 2 7 6 8 2 7 4 0 8 Ο . 5 2 8 2 7 2 5 3 7 4 O . 5 2 8 8 6 1 9 8 6 3 0 , 5 2 9 4 5 1 0 8 7 9 0 . 5 3 0 0 3 9 8 4 2 7

Δ ΐ

6058 770 6o55 T02 6 0 5 1 4 3 7 6047 778 6044 1^2

6040 472 6036 824 6033 T 8 3 6029 545 6025 912

6022 282 6 0 1 8 6 5 8 6 0 1 5 0 3 8 6 0 1 1 4 2 2 6007 8TO

6004 203 6000 601 5997 o o i 5993 408 5 9 8 9 8 1 7

5986 232 5 9 8 2 6 5 1 5979 073 5975 501 5971 932

5968 368 5964 807 5961 252 5957 70T 5 9 5 4 1 5 3

5 9 5 0 0 1 0 5947 072 5943 536 5 9 4 0 0 0 6 5 9 3 6 4 8 0

5 9 3 2 9 5 8 59 2 9 440 5925 926 5 9 2 2 4 1 6 5918 911

5 9 1 5 4 1 0 5 9 1 1 9 1 3 5908 420 5904 930 5901 446

5897 966 5 8 9 4 4 8 9 5891 016 5887 548 5884 084

- Δ ,

3670 3666 3662 3657 3 6 53

3 6 4 9 3644 3640 3635 3631

3627 3622 3618 3614 3609

3604 3601 3596 3592 3588

3583 3579 3575 3570 3566

3562 3558 3553 3549 3545

3540 3537 3533 3528 3524

3520 3516 3512 | 3507 3503 1

3499 3495 3491 3487 3482

3478 3475 3470 3466 3462

7

Page 16: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

i . 700 I 1 .701

1 ,702 1.703 1 .704

1*705 I 1 ,706

1 7 0 7 1 ,708 1 .709

1 .710 1 7 1 1 1 7 1 2 1 .713 1.714

1.715 I 1 .716

1 .717 1 .718 1 .719

I 1 ,720 1 .721

1 1 .722 1.723 1 ,724

1.725 1 1,726 1 1 .727

1 .728 1 .729

1 .730 1,731 1 .732 1.733 1-734

1.735 X.736 1-737 1 7 3 8 !<739

1 .740 1 .741 1 .742 L 7 4 3 1-744

1.745 1 - 7 4 6

1 .747 1 .748 A .749

In x

0 . 5 3 0 6 2 8 2 511 0 .5312163 134 0 . 5 3 1 8 0 4 c 302 0 . 5 3 2 3 9 1 4 0 1 7 0 . 5 3 2 9 7 8 4 284

0 . 5 3 3 5 6 5 1 107 0 . 5 3 4 1 5 1 4 4 9 1 0 . 5 3 4 7 3 7 4 4 3 8 o . 5 3 5 3 2 3 0 9 5 4 0 . 5 3 5 9 0 8 4 0 4 1

o . 5 3 6 4 9 3 3 705 0 . 5 3 7 0 7 7 9 9 4 9 0 . 5 3 7 6 6 2 2 7 7 7 0 , 5 3 8 2 4 6 2 193 0 . 5 3 8 8 2 9 8 2 0 2

0 . 5 3 9 4 1 3 0 8 0 6 0 . 5 3 9 9 9 6 0 o n 0 .5405785 819 0 , 5 4 1 1 6 0 8 2 3 6 0 , 5 4 1 7 4 2 7 2 6 4

0 . 5 4 2 3 2 4 2 9 0 8 0 , 5 4 2 9 0 5 5 1 7 2 0 . 5 4 3 4 8 6 4 0 6 1 0 . 5 4 4 0 6 6 9 5 7 5 0 . 5 4 4 6 4 7 1 7 2 2

0 . 5 4 5 2 2 7 0 5 0 5 0 . 5 4 5 8 0 6 5 9 2 7 0 . 5 4 6 3 8 5 7 9 9 2 0 . 5 4 6 9 6 4 6 704 0 . 5 4 7 5 4 3 2 o 6 7

0 . 5 4 8 1 2 1 4 0 8 5 0 . 5 4 8 6 9 9 2 762 0 .5492768 101 0 . 5 4 9 8 5 4 0 1 0 7 0 . 5 5 0 4 3 0 8 7 8 4

0 .5510074 134 0 . 5 5 1 5 8 3 6 162 0 . 5 5 2 1 5 9 4 8 7 3 0 . 5 5 2 7 3 5 0 2 6 8 0 . 5 5 3 3 1 0 2 3 5 4

0 . 5 5 3 8 8 5 1 1 3 2 0 , 5 5 4 4 5 9 6 6 0 8 0 . 5 5 5 0 3 3 8 7 8 4 0 . 5 5 5 6 0 7 7 6 6 5 0 ,5561813 255

0 . 5 5 6 7 5 4 5 5 5 7 0 . 5 5 7 3 2 7 4 5 7 4 0 . 5 5 7 9 0 0 0 3 1 2 0 . 5 5 8 4 7 2 2 7 7 2 0 . 5 5 9 0 4 4 1 9 6 0

A i

5 8 8 0 6 2 3 5 8 7 7 1 6 8 5873715 5870267 5 8 6 6 8 2 3

5863 384 5 8 5 9 9 4 7

1 5 8 5 6 5 1 6 1 5853087

5 8 4 9 6 6 4

5846 244 5842 828 5 8 3 9 4 1 6 583^009 5832 604

5829205 5825 808 5 8 2 2 4 1 7 5 8 1 9 0 2 8 5 8 1 5 6 4 4

5 8 1 2 2 6 4 5808 £89 5 8 0 5 5 1 4 5 8 0 2 1 4 7 5798783

5 7 9 5 4 2 2 5792065 5 7 8 8 7 1 2 5785 363 5 7 8 2 0 1 8

5 7 7 8 6 7 7 5 7 7 5 3 3 9 5 772 006 5 7 6 8 6 7 7 5 7 6 5 3 5 0

5762 028 5 7 5 8 7 1 1 5755395 5 7 5 2 0 8 6 5 7 4 8 7 7 8

5 7 4 5 4 7 6 5 7 4 2 1 7 6 5 7 3 8 8 8 1 5735 590 5732 302

5 7 2 9 0 1 7 5 7 2 5 7 3 8 5 7 2 2 4 6 0 5 7 1 9 1 8 8 5 7 1 5 9 1 9

- Δ 2

3458 1 3454

3450 3446 3441

3438 3434 3430 3426 3421

3 4 i 8 3414 3409 3406 3402

3598 3394 3390 3386 3382

3378 3375 3371 3365 3362

3359 3355 3351 3347 3343

3339 3335 3331 3328 3324

331? 3316 3312 3308 3305

3301 3297 3293 3289 3286

3282 3278 3275 3270 3267

X

1 .750 1 .751 1 .752 1-753

! 1 .754

1.755 1 .756 1-757 1.758 ί - 7 5 9

1 .760 ι . 761 1 .762 1 .763 1 .764

1.765 î . 7 6 6 1.767 1 .768 1 .769

1 .770 1 .771 1 .772 i : 7 7 3 1 .774

1-775 1 .776 1.777 1 .778 1-779

1 .780 1.781 1 .782 1.783 1.784

1.785 1 ,786 1.787 1 .788 1 .789

1 .790 1.791 1 .792 1-793 1-794

1*795 1 .796 1 .797 1 .798 1-799

In x

0 . 5 5 9 6 1 5 7 8 7 9 0 . 5 6 0 1 8 7 0 5 3 3 0 . 5 6 0 7 5 7 9 9 2 5 0 . 5 6 1 3 2 8 6 0 5 9 0 . 5 6 1 8 9 8 8 9 3 9

0 . 5 6 2 4 6 8 8 569 0 . 5 6 3 0 3 8 4 9 5 2 0 . 5 6 3 6 0 7 8 0 9 2 0 . 5 6 4 1 7 6 7 9 9 3 0 . 5 6 4 7 4 5 4 6 5 8

0 . 5 6 5 3 1 3 8 0 9 1 0 . 5 6 5 8 8 1 8 2 9 5 0 . 5 6 6 4 4 9 5 2 7 5 0 . 5 6 7 0 1 6 9 0 3 4 0 . 5 6 7 5 8 3 9 5 7 6

0 . 5 6 8 1 5 0 6 9 0 4 0 .5687171 022 0 .5692831 933 0 . 5 6 9 8 4 8 9 642 0 .5704144 152

0 . 5 7 0 9 7 9 5 4 6 6 0 . 5 7 1 5 4 4 3 5 8 8 0 , 5 7 2 1 0 8 8 5 2 2 0 . 5 7 2 6 7 3 0 2 7 1 0 . 5 7 3 2 3 6 8 8 3 9

0 . 5 7 3 8 0 0 4 2 2 9 0 . 5 7 4 3 6 3 6 4 4 6 0 . 5 7 4 9 2 6 5 4 9 2 0 . 5 7 5 4 8 9 1 3 7 1 0 . 5 7 6 0 5 1 4 0 8 7

0 . 5 7 6 6 1 3 3 6 4 3 0 . 5 7 7 1 7 5 0 0 4 3 0 . 5 7 7 7 3 6 3 2 9 0 0 . 5 7 8 2 9 7 3 3 8 9 0 . 5 7 8 8 5 8 0 3 4 2

0 . 5 7 9 4 1 8 4 1 5 2 0 . 5 7 9 9 7 8 4 8 2 5 0 . 5 8 0 5 3 8 2 3 6 2 0 , 5 8 1 0 9 7 6 768 0 . 5 8 1 6 5 6 8 0 4 5

0 , 5 8 2 2 1 5 6 199 0 .5827741 231 0 . 5 8 3 3 3 2 3 1 4 6 0 .5838901 946 0 . 5 8 4 4 4 7 7 6 3 6

0 , 5 8 5 0 0 5 0 2 1 9 0 . 5 8 5 5 6 1 9 6 9 9 0 , 5 8 6 1 1 8 6 0 7 8 0 . 5 8 6 6 7 4 9 361 0 . 5 8 7 2 3 0 9 5 5 0

Δ ,

5 7 1 2 6 5 4 5709 392 5706134 5702 880 5 6 9 9 6 3 0

5696 383 5 6 9 3 1 4 0 5689 901 5686665 5683433

5680 204 5676 980 5673 759 5670 542 5667 328

5 6 0 4 1 1 8 5660 911 5 6 5 7 7 0 9 5 6 5 4 5 1 0 5 6 5 1 3 1 4

5648 122 5644 934 5641 749 5638 568 5 6 3 5 3 9 0

5632217 5 6 2 9 0 4 6 5625 879 5622716 5619556

5 6 1 6 4 0 0 5613247 5610099 5606953 5603 810

5600673 5597 537 5 5 9 4 4 0 6 5591277 5588154

5 5 8 5 0 3 2 5581915 5 5 7 8 8 0 0 5 5 7 5 6 9 0 5 5 7 2 5 8 3

5 5 6 9 4 8 0 5 5 6 6 3 7 9 5 5 6 3 2 8 3 5 5 6 0 1 8 9 5 5 5 7 0 9 9

- Δ 2

3263 3260 3256 3 2 5 2 3248

3 2 45 3241 3237 3234 3230

3226 1 3222 3219 3215 3212 I

3208 3204 3200 I 3197 3194

3190 3186 3183 3179 1 3175

3172 3169 3165 1 3161 1 3158

3154 3150 3147 3*44 3140

3M7 3133 3130 3126 3123

3119 3110 3112 3108 3105

3102 3098 3095 3092 3088

8

Page 17: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

1.800 1.801

i .802 1.803 1.804

1.805 1.806 1.807 1.808 1.809

1.810 1.811

1.812 T.8I3 1.814

1.815 1.816 1-817 1.818 1.819

1.820 1.821

1.822 1.823 1.824

1.825 1.826 1.827 1.828 1.829

1.830 1.831 1.832 1.833 1.834

1.835 1.836 1.837 1,838 1.839

1.840 1.841 1.842 1.843 1.844

1.845 1.846 1.847 1.848 1.849

\nx

0.5877866649 0.5883420662 0.5888971 592 0.5894519442 0.5900064 216

0,5905605 918 0.5911144550 0.5916680 116 0.5922212620 0.5927742064

0.5933268453 0.5938791789 0.5944312076 0.5949829318 0.5955343517

0.5960854677 0.5966362 802 0.5971867894 o.5977369 958 0.5982868995

0,5988365011 0.5993858007 0.5Q99347988 0.6004834 957 0.6010318917

0.6015799870 0.6021277822 0.6026752774 0.6032224 730 0.6037693 694

0.6043159669 0.6048622657 0.6054082663 0,6059539689 0.6064993 738

0.6070444815 0.6075892922 0.6081338062 0.6086780239 0.6092219456

0.6097655 716 0.6103089023 0.6108519378 0.6113946787 0.6119371 251

0.6124792775 0.6130211 361 0.6135627012 0.6141039732 0.6146449 524

Δ ,

1 5554013 5550930 5547850 5544 774 5541702

5538632 5535 566 553*504 5529444 5526389

5523336 5520287 5517*4* 5514 199 5511 160

5508125 5505092 5502064 5499037 5496016

549* 99 6

5489 981 5486 969 5483 960 5480953

5477 95* 5474 95? 5471 95Ô 5468 964 5465 975

5462988 5460006 $457026 5454049 5451077

5448 107 5445 140 544* 177 5439217 5436 260

5433 307 5430355 54*7 409 54*4 464 5421 524

5418 586 541565I 5412720 5409 79* 5406 867

- Δ ,

3084 3081 3078 3074 3071

3068 3064 3061 3057 3054

3051 3047 3044 3041 3037

3034 3030 3027 3024 3020

3017 3013 3010 3008 3004

3000 2998 *994 2990 2988

2984 2981 2978 *974 2971

2968 2965 2061 2958 *955

2952 *949 | *945 2942 *939

2936 *933 2929 1 2926 2923

X

1.850 1.851 1 8 5 2 1.853 1.854

1.855 1.856 1.857 1.858 1.859

1.860 1.861 1.862 1.863 1.864

1.865 1.866 1.867 1.868 1.869

1.870 1.871 1.872 1.873 1-874

1.875 1.876 1.877 1.878 1.879

1.880 1.881 1.882 1.883 1.884 1

1.885 1,886 1,887 1.888 1.889

1,890 1.891 1,892 1.893 1.894

1.895 1.896 1,897 1.898 1.899

\ViX

0.6151856391 0.6157260336 0.616266I 362 0.6108059 473 0.6173454671

0.6178846 961 0.6184236344 0.6189622824 0.6195006404 0,6200387087

0.6205764877 0.6211139 777 0.6216511 789 0.6221880916 0.6227247 163

0.6232610 531 0.6237971 024 0.6243328646 0.6248683 398 0.6254035 285

0.6259384309 0.6264730473 0.6270073 781 0.6275414235 0.6280751 838

0.6286086 594 0.6291418 506 0.6296747 576 0.6302073 808 0.6307397204

0.6312717 768 0.6318035 503 0.6323350412 0.6328662497 06333971 762

0.6339278 209 0.6344581 842 0.6349882664 0.6355180677 0.6360475 885

0.6365768291 0.6371057897 0.6376344706 0.6381628 722 0.6386909948

0.6392188385 0 6397464038 0.6402736910 0.6408007002 0,6413274318

Δι

1 5403 945 5401 026 5398 p i 5395 198 539* 290

5389383 5386480 5383380 5380683 5377790

5374900 5372 C12 5369 127 5366247 5363 368

5360493 5357622 5354 75* 5351887 5349024

5346 164 5343 308 5340454 5337603 5334 756

5331912 5329070 5326232 53*3 396 5320564

5317735 5314909 5312085 5309265 5306447

5303 633 5300822 5298013 5295 208 5292 406

5289 606 5286809 5284016 5281 226 5*78 437

5275653 5272872 5270092 5267316 5264 544

~ Δ *

2920 2 9I7 *9M 2910 2907

2905 2901 2898 2895 2891

2889 2886 2882 2879 •-877

2873 2870 2867 2864 2861

2858 2855 2852 2849 2845

2843 2840 1 *837 2834 2830

2827 1 2825 2822 2819 2816

2812 2810 1 2807 2803 2801 I

2798 2795 2791 2789 2786 j

2782 I 2780 ! 2778 *773 2771

Page 18: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

In x A, - Δ , In x *i Δ2

•900 ,901 .902 .903 •904

.905

.906 •907 ·9θ8 .909

.910

.911

.912 •913 .914

.915

.916

.917

.918 ,919

.920

.921

.922

.923

.924

.925

.926

.927

.928

.929

.930

.931

.932 •933 • 934

• 935 •936 •937 .938 •939

.940

.941

.942 • 943 • 944

.946 •947 .948 • 949

0.6418538862 0.6423800635 0.6429059641 0.6434315883 0.6439569364

0.6444820086 0.6450068052 0.6455313 266 0.6460555730 0.6465795447

0.6471032 421 0.6476266653 0,6481498 146 0.6486726905 0.6491952930

0.6497176226 0,6502396795 0.6507614 641 0.6512829 765 0,6518042 170

0.6523251 860 0.6528458838 0.6533663 105 0.6538864666 0.6544063 522

0.6549259 677 0.6554453 x34 0.6559643894 0.6564831 962 0.6570017339

0.6575200029 0.6580380034 0.6585557358 0,6590732002 0,6595903970

0.6601073 265 0.6606239889 0.6611403 844 0.6616565 135 0.6621723 763

0.66*6879 731 0.66320Ì3042 0.6637183 699 0,6642331 704 9.6647477061

0.6652619771 0.6657759838 0.6662897264 0.6668032052 0.6673164205

5261 773 5259006 5256 242 5253481 5250 722

5247966 5245 214 5242 464 5239717 5236974

5234232 5231493 5228 759 5226 025 5223 296

5220 569 5217846 5215 124 5212405 5209 690

5206978 5204 267 5201 561 5198856 5196 155

5193457 5190 760 5188068 5185377 5182690

5180005 5177324 5174644 5171 968 5169295

5166624 5163955 5161 291 5158628 5155968

5153 3 " 5150657 5148005 5M5 357 5142710

5140 067 5137426 5134788 5132153 5129521

2769 2765 2762 2760 2757

2754 2751 2748 '̂ 745 2742

2740 2736 2734 2731 2728

2725 2722 2720 2717 2713

2711 2708 2705 2703 2699

2697 2694 2691 2689 2686

2683 2680 2678 2674 2672

2670 2666 2663 2661 2658

2655 2653 2650 2647 2645

2642 2639 2636 2033 2631

1.950 1.951 1.952 1.953 1.954

1.955 1.956 1.957 1.958 1.959

1.960 1.961 1.962 1.963 1.964

1.965 1.966 1.967 1.968 1.969

1.970 1.971 1.972 1-973 1.974

1.975 1.976 1.977 1.978 1.979

1.980 1.981 1.982 1.983 1.984

1.985 1.986 1.987 1.988 1.989

1.990 1.991 1.992 1.993 1.994

1.995 1.996 1-997 1.998 1.999

0.6678293 726 0.6683420616 0.6688544 880 0.6693666 519 0.6698785 536

0.6703901 934 0.6709015 716 O.Ó7I4I26 884 0.6719235441 0.6724341 390

0.6729444732 0.6734545472 0.6739643 611 0.6744739153

0.6749832099

0.6754922453 0.6760010217 0.6765095 394 0.6770177 98S 0.6775257997

0.6780335427 0.6785410282 0.6790482 562 0.6795552270 0.6800619410

0.6805683984 0.6810745 993 0.6815805442 0.6820862 332 0.6825916666

0.6830968447 0.6836017677 0.6841064359 0.6846108495 0.6851150089

0.6856189 141 0.6861225656 0.6866259636 0.6871291 082 0.6876319999

0.6881346387 0.6886370251 0.6891391 592 0.6896410412 0.6901426715

0.6906440503 0.6911451779 0.6916460 544 0.6921466802 0.6926470555

5126890 5124264 5121 639 5119017 5116 398

5113782 5111 168 5108557 5105949 5103342

5100740 5098 139 5095542 5092 946 5090354

5087 764 5085 177 5082 592 5080011 5077 430

5074855 5072 280 5069 708 5067 140 5004 574

5062 009 5059449 5056 890 5054 334 5051 781

5049 230 5046 682 5044136 5041 594 5039052

5036515 5033 9«o 5031446 5028917 5026 388

5023 864 5021 341 5018 820 5016 303 5013 788

5011 276 5008 765 5006 258 5003753 5001 251

10

Page 19: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

2.000 2.0Q1

2.002 2.003 2.004

2.005 2.006 2.007 2.008

2.009

2.010 2,011

2.012 2.013 2.014

2.015 2.016

2.017 2.018 2.019

2.020 2 021 2.022 2.Ο23 2.Ο24

2.02$ 2.Ο26 2.Ο27 2,028 2.Ο29

2.O3O 2.O3I 2.Ο32 2.Ο33 2.Ο34

2.Ο35 2.Ο36 2.Ο37 2.Ο38 2.Ο39

2.040 2.O41 2.Ο42 2.Ο43 2.Ο44

2.04$ f 2.046

2.Ο47 2.Ο48 2.Ο49

In x

0.6931471 806 0.6936470556 0.6941466809 0.6946460567 0.6951451 832

0.6956440608 0.6961426895 0.6966410698 0.6971392018 0.6976370858

0.6981347221 0.6986321 108 0.6991292 522 0.6996261 467 0.7001227943

0.7006191954 0.7011153 502 0.7016112 590 0.7021069 219 0,7026023 393

0.703097$ 114 0.7035924384 0.7040871 206 0.7045815 582 0.7050757514

0.7055697006 0.7060634058 0.7065568675 0.7070500857 0.707$ 430 608

0.7080357931 0.7085282826 0.7090205 297 0.709$ 12$ 346 0.7100042976

0.7104958 189 0,7109870987 0.7114781 372 0.7119689348 0.7124594916

0.7129498079 0,7134398838 0.7139297197 0 . 7 i 4 4 i 9 3 i $ 8 0.7149086723

o.7i$3977 89$ 0.7158866675 0.7163753067 0.7168637072 o .7 i73$i8 693

Δχ

1998 750 4996253 4993 7$ 8 4991 265 4988 776

4986 287 4983 803 4981 320 4978 840 4976 363

4973887 4971414 4968 94$ 1 4966 476 4964011

4961548 49$ 9 088 49$6 629 49$4i74 49$ i72 i

4949 270 4946 822 4944 376 4941 932 4939 492

4937 o$2 4934617 4932 182 4929 7$i 4927 323

4924 89$ 4922 471 4920 049 4917630 491$ 213

4912798 4910 38$ 4907 976 490$ 568 4903 163

4900759 4898359 4895 961 4893565 4891 172

4888 780 4886 392 4884 005 4881 621 4879239

- Δ 2

2499 2496 2494 2491 2489

2486 2483 2481 2478 2476 j

2474 2471 2469 2467 2464

2461 24$9 24$7 24$4 24$ 2

2449 2447 244$ 2442 2440

2437 243$ 2433 2429 2428

2426 2423 2420 2418 2416

2414 2411 2408 2406 1 2404 I

2402 1 2399 2397 2394 2392

2390 2387 238$ 2383 2381

X

2,050 2.051 2,052 2.053 2,054

2.055 2,056 2.057 2.058 2.059

2.060 2,061 2,062 2.063 2,064

2.065 2.066 2.067 2,068 2.069

2,070 2.071 2,072 2.073 2.074

2.075 2.076 2.077 2.078 2.079

2.080 2.081 2.082 2.083 2.084

2.085 2,086 2.087 2.088 2,089

2.090 2.091 2.092 2.093 2.094

2.095 2,096 2.097 2,098 2.099

in x

0.7178397932 0.7183274791 0.7188149273 0.7193021 380 0.7197891 115

0.7202758479 0.7207623476 0.7212486107 0,7217346374 0.7222204280

0.7227059828 0.7231913 019 0,7236763 856 0.7241612 341 0.7246458476

0.7251302264 0.7256143 707 0.7260982807 0.7265819 566 0.7270653988

0,7275486073 0.7280315 824 0.7285143 244 0.7289968 335 0.7294791098

0.7299611537 0.7304429653 0.730924$ 449 0.7314058927 0.73188,70089

0.7323678937 0.7328485474 0.7333289702 0.7338091623 0,7342891239

0.7347688553 o.73$2483 $66 0.7357276281 0.7362066 700 0.7366854826

0,7371640660 0.7376424204 0.7381205 462 0.738598443$ 0.7390761 124

o.739$$3$$34 0,7400307665 0.7405077 $19 0.7409845 100 0.7414610408

Δ,

4876 859 4874 482 4872 107 4869 735 4867 364

4864 997 4862631 4860 267 4857906 4855 548

4853191 4850837 4848 485 4846 135 4843 788

4841 443 4839 100 4836 7$9 4834 422 4832 085

4829751 4827 420 4825 091 4822 763 4820439

4818 116 4815 796 4813478 4811 162 4808 848

4806537 4804 228 4801 921 4799 616 4797314

479$ 013 4792 71$ 4790419 4788 126 478$ 834

4783 $44 4781258 4778 973 4776689 4774 410

4772131 4769 854 4767581 476$ 308 4763 039

- Δ 2

2578 2376 2373 2371 2 3 6 9

2366 2365 2362 2359 2357

2355 2353 2351 2348 2346

2344 2342 2339 2337 233$

2332 2330 2328 1 2326 2323

2321 2319 2317 231$ 2312 I

2310 I 2308 1 2306 2303 2301

2299 I 2297 I 2294 2292 I 2291 I

2288 2285 2284 I 2281 I 2279 I

2278 227$ 2273 2271 I 2268

11

Page 20: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2 . 1 0 0 2 . 1 0 1 2 . 1 0 2 2 . 1 0 3 2 . 1 0 4

2 .105 2 . Ι θ 6 2 . 1 0 7 2 . 1 0 8 2 . 1 0 9

2 . 1 1 0 2 . 1 1 1 2 . 1 1 2 2 . I I 3 2 . I I 4

2 . I I 5 2 . 1 1 6 2 . I I 7 2 . I I 8 2 . I I 9

2 . 1 2 0 2 . 1 2 1 2 . 1 2 2 2 . 1 2 3 2 . I 2 4

2 ,125 2 . 1 2 6 2 , 1 2 7 2 , 1 2 8 2 , 1 2 9

2 . I3O 2 . 1 3 1 2 . 1 3 2 2 . 1 3 3 2 . 1 3 4

2 . 1 3 5 2 , 1 3 6 2 . 1 3 7 2 . 1 3 8 2 . 1 3 9

1 2 . 1 4 0 2 . 1 4 1 2 . 1 4 2 2 . 1 4 3 2 . 1 4 4

2 . 1 4 5 2 . 1 4 6 2 . 1 4 7 2 . 1 4 8 2 , 1 4 9

\

In x

0 . 7 4 1 9 3 7 3 4 4 7 0 . 7 4 2 4 1 3 4 2 1 9 0 : 7 4 2 8 8 9 2 7 2 5 0 . 7 4 3 3 6 4 8 9 6 7 0 . 7 4 3 8 4 0 2 9 4 9

0 . 7 4 4 3 1 5 4 6 7 1 0 . 7 4 4 7 9 0 4 1 3 7 0 . 7 4 5 2 6 5 1 348 0 . 7 4 5 7 3 9 6 3 0 7 0 . 7 4 6 2 1 3 9 015

0 . 7 4 6 6 8 7 9 4 7 5 0 . 7 4 7 1 6 1 7 6 8 9 0 . 7 4 7 6 3 5 3 6 5 8 0 . 7 4 8 1 0 8 7 3 8 6 0 . 7 4 8 5 8 1 8 8 7 4

0 . 7 4 9 0 5 4 8 1 2 5 0 .7495275 MO 0 . 7 4 9 9 9 9 9 9 2 2 0 . 7 5 0 4 7 2 2 4 7 2 0 . 7 5 0 9 4 4 2 7 9 3

0 . 7 5 1 4 1 6 0 8 8 7 0 . 7 5 1 8 8 7 6 7 5 6 0 . 7 5 2 3 5 9 0 4 0 2 0 . 7 5 2 8 3 0 1 8 2 7 0 . 7 5 3 3 0 1 1 0 3 4

0 , 7 5 3 7 7 1 8 0 2 4 0 . 7 5 4 2 4 2 2 7 9 9 0 . 7 5 4 7 1 2 5 3 6 2 0 .7551825 715 0 . 7 5 5 6 5 2 3 8 5 9

0 , 7 5 6 1 2 1 9 7 9 7 0 . 7 5 6 5 9 1 3 5 3 1 0 . 7 5 7 0 6 0 5 0 6 3 0 . 7 5 7 5 2 9 4 3 9 5 0 . 7 5 7 9 9 8 1 5 2 9

0 , 7 5 8 4 6 6 6 4 6 7 0 . 7 5 8 9 3 4 9 2 1 1 0 . 7 5 9 4 0 2 9 7 6 3 0 . 7 5 9 8 7 0 8 1 2 6 0 . 7 6 0 3 3 8 4 3 0 1

0 . 7 6 0 8 0 5 8 2 9 0 0 . 7 6 1 2 7 3 0 0 9 6 0 . 7 6 1 7 3 9 9 7 2 0 0 . 7 6 2 2 0 6 7 1 6 5 0 . 7 6 2 6 7 3 2 4 3 2

0 . 7 6 3 1 3 9 5 5 2 4 0 . 7 6 3 6 0 5 6 4 4 2 0 .7640715 189 0 . 7 6 4 5 3 7 1 7 6 6 0 . 7 6 5 0 0 2 6 1 7 7

A i

4 7 6 0 7 7 2 4 7 5 8 5 0 6 4 7 5 6 2 4 2 4 7 5 3 9 8 2 4 7 5 1 7 2 2

4749 4ί>6 4747 211 4744 959 4742 708 4740 460

4 7 3 8 2 i 4 4735 969 4733 728 4 7 3 1 4 8 8 4 7 2 9 2 5 1

4 7 2 7 0 1 5 4724 782 4 7 2 2 5 5 0 4720 321

! 4 7 1 8 0 9 4

4715 869 4 7 1 3 6 4 6 4 7 1 1 4 2 5 4709 207 4706 990

4704 775 4702 563 4 7 0 0 3 5 3 4 6 9 8 1 4 4 4695 938

4693 734 4 6 9 1 5 3 2 4689 332 4 6 8 7 1 3 4 4684 938

4682 744 4 6 8 0 5 5 2 4678 363 4 6 7 6 1 7 5 4673 989

4 6 7 1 8 0 6 4669 624 4667 445 4665 267 4663 092

4 6 6 0 9 1 8 4658 747 4 6 5 6 5 7 7 4 6 5 4 4 1 1 4 6 5 2 2 4 4

- Δ 2

2266 2265 2262 226θ 2258

2255 2253 2251 2249 2247

2245 2243 2240 2238 2236

2234 2232 2230 2228 2226

2224 2222 2219 2217 2 2 l 6

2214 2211 2209 2207 2205

2203 2201 2199 2197 2195

2193 2190 2 ΐ 8 8 2187 2184

2 ΐ 8 2 2 ΐ 8 θ 2178 2176 2174

2172 2170 2 ΐ 6 8 2167 2164

X

2 . 1 5 0 2 , 1 5 1 2 . 1 5 2 2 . 1 5 3 2 . 1 5 4

2 . 1 5 5 2 . 1 5 6 2 . 1 5 7 2 . 1 5 8 2 . 1 5 9

2 . ΐ 6 θ 2.1ÓI 2 , 1 0 2 2 . 1 6 3 2 . 1 6 4

2 . 1 6 5 2 , ι 6 6 2 . 1 6 7 2 . ι 6 8 2 . 1 6 9

2 , 1 7 0 2 , 1 7 1 2 , 1 7 2 2 , 1 7 3 2 . 1 7 4

2 . 1 7 5 2 , 1 7 6 2 . 1 7 7 2 . 1 7 8 2 . 1 7 9

2 . ΐ 8 θ 2 . ΐ 8 ΐ 2 . 1 8 2 2 . 1 8 3 2 . 1 8 4

2 . 1 8 5 2 . ι 8 6 2 . 1 8 7 2 . 1 8 8 2 . 1 8 9

2 , 1 9 0 2 . 1 9 1 2'. 192 2 . 1 9 3 2 . 1 9 4

2 . 1 9 5 2 . 1 9 6 2 . 1 9 7 2 . 1 9 8 2 . 1 9 9

In x

0 . 7 6 5 4 6 7 8 4 2 1 0 . 7 6 5 9 3 2 8 5 0 3 0 . 7 6 6 3 9 7 6 4 2 3 0 . 7 6 6 8 6 2 2 184 0 ,7673265 7 8 7

0 . 7 6 7 7 9 0 7 2 3 6 0 , 7 6 8 2 5 4 6 5 3 0 0 , 7 6 8 7 1 8 3 6 7 4 0 . 7 6 9 1 8 1 8 6 6 8 0 . 7 6 9 6 4 5 1 5 1 5

0 . 7 7 0 1 0 8 2 2 1 7 0 . 7 7 0 5 7 1 0 7 7 5 0 . 7 7 1 0 3 3 7 1 9 2 0 , 7 7 1 4 9 6 1 4 7 0 0 . 7 7 1 9 5 8 3 6 1 0

0 . 7 7 2 4 2 0 3 6 1 5 0 . 7 7 2 8 8 2 1 4 8 6 0 -7733437 226 0 , 7 7 3 8 0 5 0 8 3 6 0 . 7 7 4 2 6 6 2 3 1 8

0 , 7 7 4 7 2 7 1 6 7 6 0 . 7 7 5 1 8 7 8 9 0 9 0 . 7 7 5 6 4 8 4 0 2 1 0 . 7 7 6 1 0 8 7 0 1 3 0 . 7 7 6 5 6 8 7 8 8 7

0 . 7 7 7 0 2 8 6 6 4 5 0 . 7 7 7 4 8 8 3 2 9 0 0 . 7 7 7 9 4 7 7 8 2 3 0 . 7 7 8 4 0 7 0 2 4 5 0 . 7 7 8 8 6 6 0 5 6 0

0 . 7 7 9 3 2 4 8 7 6 8 0 . 7 7 9 7 8 3 4 8 7 2 0 . 7 8 0 2 4 1 8 8 7 4 0 . 7 8 0 7 0 0 0 7 7 6 0 . 7 8 1 1 5 8 0 5 7 9

0 . 7 8 1 6 1 5 8 2 8 5 0 . 7 8 2 0 7 3 3 8 9 8 0 . 7 8 2 5 3 0 7 4 1 7 0 . 7 8 2 9 8 7 8 8 4 6 0 . 7 8 3 4 4 4 8 1 8 5

0 . 7 8 3 9 0 1 5 4 3 8 0 . 7 8 4 3 5 8 0 6 0 6 0 . 7 8 4 8 1 4 3 6 9 1 0 . 7 8 5 2 7 0 4 6 9 4 0 . 7 8 5 7 2 6 3 6 1 9

0 . 7 8 6 1 8 2 0 4 6 5 0 . 7 8 6 6 3 7 5 2 3 6 0 . 7 8 7 0 9 2 7 9 3 4 0 . 7 8 7 5 4 7 8 5 6 0 0 . 7 8 8 0 0 2 7 1 1 6

Δχ

4 6 5 0 0 8 2 4647 920 4645 76ι 4643 6θ3 4 6 4 1 4 4 9

4639 294 4 6 3 7 1 4 4 4634 994 4632 847 4630 702

4 6 2 0 5 5 8 4 6 2 6 4 1 7 4624 278 4622 I40 4620 005

4 6 1 7 8 7 1 46ΐ5 740 4 6 1 3 6 1 0 4611 482 4609 358

4 6 0 7 2 3 3 4605 112 4602 992 46οο 874 4598 758

4596 645 4594 533 4 5 9 2 4 2 2 4 5 9 0 3 1 5 4 5 8 8 2 0 8

4 5 8 6 104 4 5 8 4 ο ο 2 4581 902 4579 803 4577 706

4575 613 4573 519 4571 429 4569 339 4 5 6 7 2 5 3

45 6 5 ι 6 8 4 5 6 3 0 8 5 4 5 6 1 0 0 3 4558 925 4556 846

4554 771 4 5 5 2 6 9 8 4 5 5 0 6 2 6 4548 556

! 4 5 4 6 4 8 8

- Δ 2

2IÓ2 1 2IÓO 1 2 1 5 8

2156 I 2155

2152 2150 2148 1 2146 2144

2142 2140 I 2 1 3 8

2136 2134

2132 2130 2129 2126 2125

2123 2120 2119 2117 2114

2112 2111 2109 2107 2105

2103 2101 2099 2098 2095

2094 2092 2090 2088 2085

2084 2082 2θ8θ 2079 2077

! 2074 2072 2071 2069 2067

12

Page 21: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2 . 2 0 0 2 . 2 0 1 2 . 2 0 2 2 . 2 0 3 2 . 2 0 4

2 . 2 0 5 2 . 2 θ 6 2 , 2 0 7 2 . 2 0 8 2 . 2 0 9

2 . 2 1 0 2 . 2 1 1 2 . 2 1 2 2 . 2 1 3 2 . 2 1 4

2 . 2 1 5 2 . 2 1 6 2 . 2 1 7 2 . 2 1 8 2 . 2 1 9

2 . 2 2 0 2 . 2 2 1 2 . 2 2 2 2 . 2 2 3 2 . 2 2 4

2 ,225 2 . 2 2 6 2 . 2 2 7 2 , 2 2 8 2 . 2 2 9

2.23O 2 . 2 3 1 2 . 2 3 2 2 . 2 3 3 2 . 2 3 4

2 .235 2 . 2 3 6 2 . 2 ^ 7 2 . 2 3 8 2 . 2 3 9

2.24O 2 . 2 4 1 2 . 2 4 2 2 . 2 4 3 2 . 2 4 4

2 .245 2 . 2 4 6 2 . 2 4 7 2 . 2 4 8 2 . 2 4 9

In x

0 . 7 8 8 4 5 7 3 6 0 4 0 . 7 8 8 9 1 1 8 0 2 5 0 . 7 8 9 3 6 6 0 3 8 3 0 . 7 8 9 8 2 0 0 6 7 8 0 . 7 9 0 2 7 3 8 9 1 3

0 . 7 9 0 7 2 7 5 0 8 9 0 . 7 9 1 1 8 0 9 2 0 8 0 . 7 9 1 6 3 4 1 2 7 3 0 . 7 9 2 0 8 7 1 2 8 4 0 . 7 9 2 5 3 9 9 2 4 4

0 , 7 9 2 9 9 2 5 1 5 5

0 . 7 9 3 4 4 4 9 0 1 9 0 . 7 9 3 8 9 7 0 8 3 7 0 . 7 9 4 3 4 9 0 6 1 1 0 , 7 9 4 8 0 0 8 3 4 3

0 . 7 9 5 2 5 2 4 0 3 5 0 . 7 9 5 7 0 3 7 6 8 9 0 . 7 9 6 1 5 4 9 3 0 6 0 . 7 9 6 6 0 5 8 8 8 9 0 . 7 9 7 0 5 6 6 4 4 0

0 . 7 9 7 5 0 7 1 9 5 9 0 . 7 9 7 9 5 7 5 4 4 9 0 . 7 9 8 4 0 7 6 9 1 2 0 . 7 9 8 8 5 7 6 3 5 0 0 . 7 9 9 3 0 7 3 7 6 4

0 . 7 9 9 7 5 6 9 1 5 6 0 . 8 0 0 2 0 6 2 5 2 9 0 . 8 0 0 6 5 5 3 8 8 3 0 . 0 0 1 1 0 4 3 2 2 1 0 . 8 0 1 5 5 3 0 5 4 4

0 , 8 0 2 0 0 1 5 8 5 5 0 . 8 0 2 4 4 9 9 155 0 . 8 0 2 8 9 8 0 4 4 5 0 . 8 0 3 3 4 5 9 7 2 9 0 . 8 0 3 7 9 3 7 0 0 6

0 . 8 0 4 2 4 1 2 2 8 1 0 . 8 0 4 6 8 8 5 5 5 3 0 . 8 0 5 1 3 5 6 8 2 5 0 . 8 0 5 5 8 2 6 0 9 9 0 . 8 0 6 0 2 9 3 3 7 6

O . 8 0 6 4 7 5 8 6 5 9 0 . 8 0 6 9 2 2 1 9 4 g 0 . 8 0 7 3 6 8 3 2 4 6 0 . 8 0 7 8 1 4 2 5 5 5 0 . 8 0 8 2 5 9 9 8 7 7

0 . 8 0 8 7 0 5 5 2 1 2 0 . 8 0 9 1 5 0 8 5 6 3 0 . 8 0 9 5 9 5 9 9 3 2 0 . 8 1 0 0 4 0 9 3 2 0 0 . 8 1 0 4 8 5 6 7 3 0

Δ χ

4 5 4 4 4 2 1 4 5 4 2 3 5 8

4 5 4 0 2 9 5 4 5 3 8 2 3 5 4 5 3 6 1 7 6

4 5 3 4 1 1 9 4 5 3 2 0 6 5 4 5 3 0 0 1 1 4 5 2 7 9 6 0 4 5 2 5 9 1 1

4 5 2 3 8 6 4 4 5 2 1 8 1 8 4 5 1 9 7 7 4 4 5 1 7 7 3 2 4 5 1 5 6 9 2

4 5 1 3 6 5 4 4 5 1 1 6 1 7 4 5 0 9 5 8 3

4 5 0 7 5 5 1 4 5 0 5 5 * 9

4 5 0 3 4 9 0 4 5 0 1 4 6 3 4 4 9 9 4 3 8

4 4 9 7 4 1 4 4 4 9 5 3 9 2

4 4 9 3 3 7 3 4 4 9 1 3 5 4 4 4 8 9 3 3 8 4 4 8 7 3 2 3 4 4 8 5 3 1 1

4 4 8 3 3 0 0 4 4 8 1 2 9 0

4 4 7 9 2 84 4 4 7 7 2 7 7 4 4 7 5 2 7 5

4 4 7 3 27 2 4 4 7 1 2 7 2 4 4 6 9 2 7 4 4 4 6 7 2 7 7 4 4 6 5 2 8 3

4 4 6 3 2 8 9 4 4 6 1 2 9 8

4 4 5 9 3 0 9 4 4 5 7 3 2 2 4 4 5 5 3 3 5

4 4 5 3 3 5 1 4 4 5 1 3 6 9 4 4 4 9 3 8 8

4 4 4 7 4 1 0 4 4 4 5 4 3 2

- Δ 2

2 0 6 5 2 0 6 3 2 θ 6 ΐ 2 0 5 9 2 0 5 8

2 0 5 5 2 0 5 4 2 0 5 2 2 0 5 0 2 0 4 8

2 0 4 6

2 0 4 5 2 0 4 3 2 0 4 1 2 0 3 9

2 0 3 7 2 0 3 5 2 0 3 3 2 0 3 2 2 0 3 0

2 0 2 8 2 0 2 6 2 0 2 4 2 0 2 3 2 0 2 0

2 O I 9 2 0 1 7 2 0 1 5 2 0 1 3 2 0 1 1

2 0 1 0 2ΟΟ8 2ΟΟ7 2ΟΟ4 2ΟΟ3

2 0 0 1

1 9 9 9 1 9 9 7 1 9 9 5 1 9 9 ^

1 9 9 2 199O I 9 8 8 1 9 8 7 1 9 8 5

1 9 8 3 1 9 8 1 1 9 7 9 1 9 7 8 1 9 7 6

X

2 . 2 5 0 2 . 2 5 1 2 . 2 5 2 2 . 2 5 3 2 . 2 5 4

2 . 2 5 5 2 . 2 5 6 2 . 2 5 7 2 . 2 5 8 2 . 2 5 9

2 . 2 6 0 2 . 2 6 1 2 . 2 6 2 2 . 2 6 3 2 . 2 6 4

2 . 2 6 5 2 . 2 6 6 2 . 2 6 7 2 . 2 6 8 2 . 2 6 9

2 . 2 7 Ο 2 . Λ 7 Ι 2 . 2 7 2

2 . 2 7 3 2 . 2 7 4

2 . 2 7 5 2 . 2 7 6 2 . 2 7 7 2 . 2 7 8 2 . 2 7 9

2 . 2 8 0 2 . 2 8 1 2 . 2 8 2 2 . 2 8 3 2 . 2 8 4

2 . 2 8 5 2 . 2 8 6 2 . 2 8 7 2 . 2 8 8 2 . 2 8 9

2 . 2 9 Ο 2 . 2 9 1 2 . 2Q2 2 . 2Q3 2 . 2 9 4

2 . 2 9 5 2 . 2 9 6 2 . 2 9 7 2 , 2 9 8 2 . 2 9 9

In x

0 . 8 1 0 9 3 0 2 162 0 . 8 1 1 3 7 4 5 619 0 . 8 1 1 8 1 8 7 103 0 . 8 1 2 2 6 2 6 6 1 5 0 . 8 1 2 7 0 6 4 156

0 . 8 1 3 1 4 9 9 7 3 0 0 . 8 1 3 5 9 3 3 3 3 6 0 . 8 1 4 0 3 6 4 9 7 8 0 . 8 1 4 4 7 9 4 6 5 7 0 . 8 1 4 9 2 2 2 3 7 5

0 . 8 1 5 3 6 4 8 133 0 , 8 1 5 8 0 7 1 933 0 . 8 1 6 2 4 9 3 777 0 . 8 1 6 6 9 1 3 667 0 . 8 1 7 1 3 3 1 603

0 . 8 1 7 5 7 4 7 5 8 9 0 . 8 1 8 0 1 6 1 626 0 . 8 1 8 4 5 7 3 715 0 . 8 1 8 8 9 8 3 8 5 9 0 . 8 1 9 3 3 9 2 0 5 8

0 . 8 1 9 7 7 9 8 315 0 . 8 2 0 2 2 0 2 6 3 1 0 .8206605 009 0 .8211005 449 0 . 8 2 1 5 4 0 3 9 5 3

0 . 8 2 1 9 8 0 0 524 0 .8224195 163 0 8 2 2 8 5 8 7 8 7 1 0 . 8 2 3 2 9 7 8 650 0 . 8 2 3 7 3 6 7 5 0 3

0 . 8 2 4 1 7 5 4 4 3 0 0 . 8 2 4 6 1 3 9 4 3 3 0 . 8 2 5 0 5 2 2 514 0 . 8 2 5 4 9 0 3 675 0 . 8 2 5 9 2 8 2 9 1 8

0 . 8 2 6 3 6 6 0 2 4 3 0 .8268035 654 0 . 8 2 7 2 4 0 9 150 0 . 8 2 7 6 7 8 0 7 3 5 0 . 8 2 8 1 1 5 0 410

0 . 8 2 8 5 5 1 8 176 0 . 8 2 8 9 8 8 4 0 3 5 0 . 8 2 9 4 2 4 7 9 8 9 0 . 8 2 9 8 6 1 0 0 3 9 0 . 8 3 0 2 9 7 0 1 8 7

0 . 8 3 0 7 3 2 8 4 3 5 0 . 8 3 1 1 6 8 4 7 8 5 0 , 8 3 1 6 0 3 9 2 3 7 0 . 8 3 2 0 3 9 1 794 0 . 8 3 2 4 7 4 2 4 5 8

A l

4443 457 4441 4 8 4 4439 512 4437 541 4435 574

4433 6o6 4 4 3 1 6 4 2 4429 679 4427 718 4425 7 5 8

4423 800 4421 844 4 4 1 9 8 9 0 4 4 1 7 9 3 6 4415 9 8 6

4 4 1 4 0 3 7 4 4 1 2 0 8 9 4410 144 4408 199 4 4 0 6 2 5 7

4 4 0 4 3 1 6 4402 378 4400 440 4398 504 4 3 9 6 5 7 1

4394 639 4392 708 4390 779 4 3 8 8 8 5 3 4386 927

4385 003 4383 081 4381 161 4379 243 4377 325

4 3 7 5 4 1 1 4373 496 4371 585 4369 675 4367 766

4365 859 4363 954 4 3 6 2 0 5 0 4360 148 4 3 5 8 2 4 8

4 3 5 6 3 5 0 4354 452 4352 557 4 3 5 0 6 6 4 4348 771

- A ·

1974 1972 1971 1969 1968

1966 1 1963 1962 1 i960 I 1959

1957 1955 1954 1952 1949

1948 1946 1945 1943 1941

1939 1938 1937 1934 1932

1931 1930 1927 10261925

1923 19211919 1918 1916

1915 1913 1910 I 1909 1908

1906 1904 1903 I90T 1899

1898 1896 1894 1893 1891

13 2*

Page 22: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2.300 2.30t 2.302 2.303 2.304

2.30s 2.306 2.307 2.308 2.309

2.31p 2.311 2,312 2.313 2.314

2.315 2.316 2.317 2.318 2.319

2.320 2.32T 2.322 2.323 2.324

2.325 2.326 2.327 2.328 2.329

2.330 2.331 2.332 2.333 2.334

2.335 2.336 2.337 2:338 2.339

2.340 2.341 2.342 2.343 2.344

2.345 2.346 2.347 2.348 2.349

In x

0.8329091 229 0.8333438 μ ι 0.8337783 103 0.8342126 2o8 0,8346467428

0.8350806 764 0.8355x44218 0.8359479792 0.8363813486 0.8368145 304

0.8372475245 0.8376803 313 0.8381129 508 0.8385453832 0.8389776288

0,8394096875 0.8398415 597 0.8402732455 0.8407047449 0.8411360583

0,8415671857 0.84x9981273 0.8424288833 0.8428594538 0.8432898390

0.8437200390 0.8441500 541 0.8445798843 0.8450095 299 0.8454589909

0.8458682676 0.8462973 601 0.8467262685 0.8471549930 0.8475835 339

0.848011« 911 0.8484400650 0.8488680556 0.8492958630 0.8497234876

0.8501509294 0,8505781 885 0.8510052652 0.8514521595 0.8518588717

0.8522854019 0.8527117502 0.8531379169 0.8535639020 0.8539897057

*x

4346 882 4344 992 4343 I 05 4341 220 4339 33Ó

4337454 4335 574 4333 694 4331818 4329941

4328 068 4326 195 4324 324 4322456 4320587

4318722 4316858 4314994 4313134 4311274

4309 416 4307 560 4305 705 4303 852 4302 000

4300 151 4298 302 4296456 4294 610 4292 767

4290925 4289 084 4287 245 4285 409 4285572

4281 739 4279 906 4278 074 4276 246 4274418

4272 591 4270 767 4268 943 4267 122 4265 302

4263 483 4261 667 4259851 4258037 4256 225

- Δ ,

1890 1888 1886 1884 1883

1881 1880 1878 1877 1875

1873 1872 1869 1869 1867

1865 1864 1862 i860 1859

1857 1855 1854 1852 1850

1849 1847 1846 1844 1842

1841 1840 1858 1857 1855

1833 1832 1830 1828 1827

1825 1824 1822 1820 1819

1817 1816 1815 1813 1811

X

2.350 2.351 2.352 2-353 2-354

2-355 2.556 2.357 2.358 2.359

2.360 2.361 2.362 2.363 2.364

2.365 2.566 2.567 2.568 2,369

2.570 2.571 2,572 2.575 2.574

2.575 2.5 76 2.377 2.378 2.5-79

2.580 2.581 2.582 2.585 2.584

2 · β 2,586 2 ·*ϋζ 2 388 2Ì389

2.590 2.591 2.592 2.595 2.594

2.395 2.596 2.597 2.5 98 2.599

Jn x

0.8544155 282 0.8548407696 0.8552660 500 0.8556911 097 0.8561160088

0.8505407275 0.8569652658 0.8575896240 0.8578138021 0.8582378004

0.8586616 190 0.8590852581 0.8595087178 0.8599519982 0.8605550995

0.8607780219 0.6612007656 0.8616255*505 0.8620457170 0.8624679252

0.8628899551 0.8655118071 0.8657554811 0.8641549775 0.8645762962

0.8649974375 0.8654184015 0.8658391884 0.8662597983 0.8666802515

0.8671004877 0,8675205 675 0,8679404709 0.8685601981 0.8687797492

0.8691991245 0.8696185257 0.8700575474 0,8704561955 0.8708748685

0.8712955659 0.8717116885 0.8721298 561 0.8725478089 0.8729656071

0.8735852309 0.8738006803 0.8742179555 0.8746350566 0.8750519839

Δ !

4254414 4252 604 4250 797 4248 991 4247 187

4245 383 4243 582 4241 781 4239 983 4238 186

4236391 4234 597 4232 804 4251015 4229 224

4227 437 4225 649 4223 865 4222 082 4220 299

4218 520 4216 740 4214964 4215 187 4211413

4209 640 4207 869 4206 099 4204350 4202564

4200 798 4199034 4197 272 4195 511 4T93 751

4191 994 4190257 4188481 4186 728 4184976

4185 226 4181 476 4179 728 4177982 4176238

4174494 4172752 4171 011 4169275 4167535

—Af

1810 1808 1806 1805 1804

1802 1801 1799 1797 1796

T794 1793 1792 1790 1788

1788 1786 1785 1785 1781

1780 1778 1777 1775 1773

1772 1770 1769 1767 1766

1765 1763 1761 1760 1758

1757 1756 1754 1752 1 7 5 1

1750 1749 1747 1745 1744

1743 1741 1739 1738 1737

14

In

Page 23: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2-400 2.401 2.402 2.403 2.404

2.405 2.4o6 2.407 2.408 2.409

2.410 2.411

1 2.412 2.413 2.414

2.415 2.416 2.417 2.418 2.419

2.420 2.421 2.422 2.423 2.424

2.425 2.426 2.427 2.428 2.429

2.430 ! 2.431 2.432 2.433 2.434

2.435 2.436 2.437 2.438 2,439

2.440 2.441 2.442 2.443 2.444

2.445 2.446 2.447 2.448 2.449

In x

0.8754687374 0.8758853 172 0.8763017237 0.8767179 568 0.8771340 167

0.8775499036 0.8779656 176 0.8783811 588 0.8787965 274 0.8792117236

0.8796267475 0.8800415 992 0.8804562 789 0.8808707866 0.8812851 227

0.8816992871 0.8821132801 0.8825271 017 0.8829407522 0.8833542316

0.8837675 402 0.8841806780 0.8845936451 0.8850064418 0.8854190682

0,8858315 244 0.8862438 105 0.8866559267 0.8870678732 0.8874796500

0.8878912574 0.8883026953 0.8887139641 0.8891250638 0.8895359946

0.8899467565 0.8903573498 0.8907677 746 0.8911780 311 0.8915881 192

0.8919980 393 0.8924077914 0.8928173 757 0.8932267923 0.8936360413

0.8940451 229 0.8944540373 0.8948627845 0.8952713 647 0.8956797 780

Δχ

4165 798 4164065 4i62 331 4i6o 599 4158869

4157 140 4155412 4153686 4151 962 4150239

4148517 4146 797 4145 077 4145 3 6 i

4141 644

. 4139930 4138 216 4136505 4134 794 4133086

4131 378 4129671 4127967 4126264 4124562

4122861 4121 162 4119465 4117768 4116074

4114379 4112688 4110997 4109 308 4107619

4105 933 4104248 4102565 4T00881 4099 201

4097 521 4095 843 4094 166 4092 490 4090816

4089 144 4087 472 4085 802 4084 133 4082 466

- a >

1735 1734 1733 1731 1729

1728 1727 1725 1723 1722

1721 1720 1718 1717 1715

1714 1712 1711 1709 1708

1707 1705 1703 1702 1701

1700 1698 1697 1695 1695

1693 1691 1690 1689 1687

1685 1684 1684 1682 1680

1679 1677 1676 1675 1673

1672 1671 1669 1668 1667

X

2.450 2.451 2-452 2.453 2.454

2.455 2.456 2-457 2.458 2-459

2.460 2.461 2.462 2.463 2.464

2.465 2.466 2.467 2,468 2.469

2,470 2.471 2.472 2-473 2.474

2.475 2.476 2,477 2.478 2.479

2.480 2.481 2.482 2.483 2.484

2.485 2.486 2.487 2.488 2.489

2.490 2.491 2.492 2.493 2.494

2.495 2.496 2.497 2.498 2.499

In x

0.8960880246 0.8964961 045 0.8969040 ι8τ 0.8973117653 0.8977193463

0.8981267 612 0.8985340 103 0.8989410935 0.8993480 111 0.8997547632

0.9001613 499 0.9005677714 0.9009740278 0.9013801 191 0.9017860457

0.9021918075 0.9025974047 0.9030028 375 0.9034081 060 0.9038132 103

0.9042181 506 0.9046229270 0.9050275 396 0.9054319885 0.9058362740

0,9062403 960 0.9066443 548 0.9070481 505 0.9074517832 0.9078552531

0.9082585 602 0.9086617047 0.9090646868 0.9094675065 0.9098701 641

0.9102726 595 0.9106749 931 0.9110771 648 0.9114791 749 0.9118810234

0.9122827 105 0.9126842 363 0.9130856009 0.9134868045 0,9138878473

0.9142887292 0.9146894505 0,9150900 113 0.9154904117 0.9158906 519

4080 799 4079 136 4077 472 4075 810 4074 149

4072 491 4070 832 4069 176 4067 521 4065 867

4064215 4062 564 4060913 4059 266 4057618

4055 972 4054 328 4052 685 4051043 4049 403

4047 764 4046 126 4044 489 4042855 4041 220

4039 588 4037957 4036 327 4034 699 4033071

4031445 4029 821 4028 197 4026 5 76 4024954

4023 336 4021 717 4020 101 4018 485 4016 871

4015 258 4013 646 4012036 4010 428 4008 819

4007213 4005 608 4004 004 4002 402 4000800

—Δ2

i665 1664 1663 1661 1659

1659 1657 1655 1654 1653

1651 1651 1649 1648 1647

1645 1643 1642 1641 1639

1638 1637 1635 1635 1633

1631 1630 1629 1628 1627

1625 1624 1622 1622 1620

1619 1617 1616 1615 1613

1612 1611 1609 1609 1607

1605 1604 1603 1602 1601

15

Page 24: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2.$00 2.$01 2. $02 2.$03 2. $04

2.$0$ 2.$θ6 2.507 2.$08 2.$09

2. $10 2.$11 2.512 2.513 2.5I4

2.515 2.516 2.517 2.518 2.5T9

2.52Ο 2.$21 2.$22 2 5 2 3 2.524

2.525 2.526 2.527 2.528 2.529

2.53Ο 2.53I 2.532 2.533 2. $34

2.535 2.536 2.537 2.538 2.539

2,540 2,541 2.542 2.543 2.544

2 5 4 5 2.546 2.547 2.548 2.549

In x

0.9162907 319 0.9166906 519 0.9170904 120 0,9174900124 0.9178894 $32

0.918288734$ 0.9186878 $6$ 0.9190868 192 °«91948$6 228 0.9198842674

0.9202827 $31 0.9306810802 0,9210792486 0.9214772 $86 0.9218751 102

0,9222728036 0.9226703 388 0.9230677 162 0.9234649356 0.9238619974

0.9242589015 0.9246556482 0.925052237$ 0.9254486697 o.92$8449 447

0.9262410627 0.9266370239 0.9270328284 0.9274284763 0.9278239676

0.9282193027 0.9286144816 0.929009$ 043 0.'9294043 710 0.9297990819

0.9301936370 0.930$880 366 0.9309822806 0.9313763693 0.9317703027

0.9321640 810 o,9325577 043 0.9329511 728 0.9333444864 0.9337376455

0.9341306 500 0.9345235001 0.9349161 960 0.9353087377 o .93$7oi i2$4

Δχ

3999 200 3997 6oi 3996004 3994408 3992815

3991 220 3989 627 3988036 3986446 3984857

3983 271 3981 684 3980 100 3978516 3976934

3975 352 3973 774 3972 194 3970 618 3969041

3967 467 3965 893 3964 322 3962 750 3961180

3959612 3958045 3956 479 3954913 3953 351

3951789 3950 227 3948 667 3947 109 3945 551

3943 996 3942 440 3940887 3939 334 3937 783

3936233 3934 68$ 3933 136 3931 591 39*0 045

3928 $01 3926 959 3925 417 3923 877 3922 338

- Δ 2

1599 1598 1 1596 ! 1595 1594

1593 1592 1590 1589 i$8 7

1587 1585 1584 1583 1582

i$8o 1579 1578 1577 1575

1574 1572 1572 1571 1569

1567 1566 1566 1564 1562

1562 1561 1559 1558 τ$$6

1556 1554 1553 1552 1550

1549 1549 1547 ϊ546 1545

1543 1542 1541 1539 1538

X

2.550 2.551 2.552 2.553 2.554

2.555 2.556 2.557 2.558 2.559

2.560 2.561 2.562 2.563 2.564

2.565 2.566 2.567 2 . $68 2 . $69

2.570 2.571 2.572 2.573 2.574

2.575 2,576 2.577 2.578 2.579

2,580 2.581 2,$82 2.$83 2.$84

2 · β 2. $86 2 .$8 7 2.$88 2.$89

2.590 2.$91 2.$92 2.593 2.$94

2.595 2.596 2.597 2.598 2.599

In x

0.9360933 592 0.9364854392 0.9368773655 0.9372691 383 0.9376607576

0.9380522237 0.9384435 365 0,9388^46963 0.9392257032 0.9396165 572

0.9400072585 0.9403978072 0.9407882035 0.9411784 474 0.9415685 391

0,9419584 786 0.9423482662 0.9427379019 0.9431273858 0.9435167 181

0.9439058989 0.9442949283 0.9446838064 0.9450725333 0,9454611092

0.9458495 341 0.9462378082 0.9466259317 0.9470139045 0.9474017269

0.9477893989 0.9481769207 0.9485642924 0.9489515 141 0.9493385 859

0.9497255080 0.9501122 803 0.9504989032

' 0.9508853 766 0.9512717008

0.9516578757 0.9520439016 0.9524297785 0.9528155066 0.9532010859

0.9535865 166 0.9539717988 0.9543569327 0.9547419182 0.9551267557

Δ χ

3920 8oo 3919263 3917 728 3916193 3914661

3913 128 3911598 3910069 3908 540 3907013

3905 487 3903 963 3902 439 3900917 3899 395

3897876 3896357 3894839 3893 323 3891 808

3890 294 3888 781 3887 269 388$ 759 3884 249

2882 741 3881 23$ 3879 728 3878 224 3876 720

387$ 218 3873 717 3872217 3870 718 3869 221

3867 723 3866 229 3864 734 3863 242 3861 749

3860 259 3858769 3857281 3855 793 3854 307

3852822 3851339 3849855 3848 375 3846893

- Δ 2

1537 1536 1535 1533 1533

1531 1529 1529 1528 I$26

1525 1524 1523 1522 1520

1519 1518 !5 i7 1515 1514

!5 i3 1512 1511 1510 1509

1507 1507 1505 1504 1503

1501 1500 1499 1498 1498

1496 T495 1493 1493 1491

1490 1489 1488 1487 1485

1484 1484 1482 1481 1480

1 6

Page 25: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2.6θΟ 2.601 2.6θ2 2.603 2.604

2.605 2.606 2.607 2.608 2,609

2.610 2.61I 2.612 2.6l3 2.614

2.615 2.616 2.617 2.618 2.619

2.62Ο 2.62I 2.622 2.623 2,624

1 2.625 I 2.626 1 2.627

2.628 2.629

I 2.630 2.631 2.632 2.633 2.634

2.635 2.636 2.637 2.638 2.639

I 2.64Ο I 2.641 I 2.642

2,643 2.644

2.645 2,646 2.647 2.648 2.649

In x

0.9555114450 0.9558959865 0.9562803 801 0.9566646 260 0.9570487243

0.9574326752 0.9578164787 0.9582001 350 0.9585836441 0.9589670062

0.9593502213 0.9597332897 0.9601162 114 0.9604989865 0.9608816 152

0.9612640975 0.9616464336 0.9620286235 0.9624106675 0.9627925 655

0.9631743 178 0.9635559243 0.9639373853 0.9643187009 0.9646998 711

0.9650808 960 0.9654617759 0.9658425 107 0.9662231 006 0.9666035 457

0.9669838462 0.9673640021 0.9677440135 3.9681238805 0.9685036033

0.9688831820 0.9692626 166 0.9696419074 0.9700210543 0.9704000575

0.9707789172 0.9711576333 0.9715362061 0.9719146 356 0.9722929220

0.9726710653 0.9730490657 0.9734269232 0.9738046 381 0.9741822 103

Δ ΐ

3845 415 3843936 3842 459 3840 985 3839509

3838035 3836563 3835091 3833 021 3832151

3830684 3829217 382775I 3826 287 3824 823

3823 36i 3821 899 3820 440 3818 980 3817523

3816065 3814610 3813 156 3811 702 3810249

3808 799 3807 348 3805 899 3804451 3803005

3801 559 3800 114 3798 670 3797228 3795 787

3794 346 3792 908 3791 469 3790032 3788597

3787 i6 i 3785 7^8 3784295 3782864 3781433

3780004 3778 575 3777 149 3775 722 3774 297

- Δ ,

1479 1478 1476 1475 1474

1473 1472 1471 1470 1468

1467 1466 1465 1464 1463

1462 1460 1460 1458 1458

1456 1454 1454 1453 1451

1451 1450 1448 1447 1446

1445 1444 1443

1 T44I 1441

1440 1439 1438 1436 1436

1434 1433 1432 1431 1430

1429 1427 1427 1426 1424

X

2.650 2,651 2.652 2.653 2.654

2.655 2,656 2.657 2.658 2.659

2,660 2,661 2,662 2.663 2.664

2.665 2.666 2,667 2.668 2,669

2,670 2.671 2.672 2.673 2,674

2.675 2.676 2.677 2.678 2.679

2.680 2.681 2.682 2.683 2.684

2.685 2.686 2.687 2.688 2,689

2,690 2.691 2.692 2.693 2.694

2.695 2.696 2.697 2.698 2.699

In x

0.974*596400 0.9749369273 0.9753140723 0.9756910752 0.9760679 359

0.9764446547 0.9768212 316 0.9771976068 0.9775739603 0.9779501 123

0.9783261 228 0.9787019920 0.9790777200 0.9794533068 0.97982^7527

0,9802040576 0.9805792218 0.9809542452 0.9813291 281 0,9817038704

0.9820784724 0.9824529341 0.9828272 557 0.9832014372 0.9835754787

0.9839493803 0.9843231 423 0.9846967645 0.9850702473 0.9854435906

0,9858167945 0.9861898593 0.9865627849 0.9869355714 0.9873082 191

0,9876807280 0,9880530981 0.9884253296 0.9887974227 0.9891693773

0.9895411936 0.9899128 717 0.9902844,118 0.9906558138 0.9910270780

0,9913982044 0.9917691931 0.9921400442 0.9925107578 0,9928813 340

Δ ΐ

3772873 3771450 3770 029 3768607 3767i88

3765 769 3764352 3762935 3761 520 3760 105

3758692 3757280 3755868 3754 459 3753049

3751642 3750234 3748829 3747423 3746020

3744617 3743 216 3741 815 3740415 ! 3739016 |

3737620 3736222 3734828 3733433 3732039

3730648 3729256 3727865 3726 A 77 3725 089

3723 701 3722315 372093I 3719546 3718 163

3716 781 3715 401 871402O 3712642 37H264

3709887 37085H 3707 136 3705 762 3704 39Ο

- Δ ,

1423 1422 1 1422 1 1420 1 1419

1418 I4I7 1416 1415 I4I4

1412 I4I2 1410 I4I0 1408

1408 1406 1406 I 1404 1403

1402 I 1401 1400 I 1399 1398

1397 1396 i?9S 1394 1392

1392 H9I

1 !388 1388

1387 1385 1385 1384 1382

1381 1381 1379 1378 1377

1376 1375 1374 1373 1372

17

Page 26: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

2 . 7 0 0 2 . 7 0 1

2 . 7 0 2 2 . 7 0 3 2 . 7 0 4

2 .705 2 . 7 0 6 2 . 7 0 7 2 . 7 0 8 2 . 7Ο9

2 .7IO 2 . 7 1 1 2 . 7 1 2 2 . 7 1 3 2 . 7 1 4

2 . 7 1 5 2 . 7 1 6 2 . 7 1 7 2 . 7 1 8 2 . 7 1 9

2 . 7 2 0 2 , 7 2 1 2 . 7 2 2 2 . 7 2 3 2 . 7 2 4

2 . 7 2 5 2 . 7 2 6 2 . 7 2 7 2 . 7 2 8 2 . 7 2 9

2 . 7 3 0 2 . 7 3 1 2 . 7 3 2 2 . 7 3 3 2 . 7 3 4

2 -735 2 . 7 3 6 2 . 7 3 7 2 . 7 5 8 2 . 7 3 9

2 . 7 4 0 2 . 7 4 1 2 , 7 4 2 2 . 7 4 3 2 . 7 4 4

2 , 7 4 5 2 . 7 4 6 2 . 7 4 7 2 . 7 4 8 2 . 7 4 9

In x

0 . 9 9 3 2 5 1 7 7 3 0 0 . 9 9 3 6 2 2 0 7 4 8 0 . 9 9 3 9 9 2 2 3 9 5 0 . 9 9 4 3 6 2 2 6 7 3 0 .9947321 582

0 . 9 9 5 1 0 1 9 1 2 3 0 . 9 9 5 4 7 1 5 2 9 7 0 . 9 9 5 8 4 1 0 106 0 . 9 9 6 2 1 0 3 551 0 . 9 9 6 5 7 9 5 6 3 1

0 . 9 9 6 9 4 8 6 3 4 9 0 , 9 9 7 3 1 7 5 7 0 5 0 . 9 9 7 6 8 6 3 701 0 . 9 9 8 0 5 5 0 3 3 7 0 . 9 9 8 4 2 3 5 6 1 4

0 . 9 9 8 7 9 1 9 5 3 4 0 . 9 9 9 1 6 0 2 0 9 7 0 .9995283 304 0 . 9 9 9 8 9 6 3 157 1 .0002641 657

1 . 0 0 0 6 3 1 8 8 0 3 1 .0009994 598 1 . 0 0 1 3 6 6 9 0 4 2 1 .0017342 137 1 .0021013 882

1 . 0 0 2 4 6 8 4 2 8 1 1 . 0 0 2 8 3 5 3 3 3 3 1 .0032021 039 1 . 0 0 3 5 6 8 7 4 0 0 1 . 0 0 3 9 3 5 2 4 1 7

1 .0043016 092 1 . 0 0 4 6 6 7 8 4 2 5 1 . 0 0 5 0 3 3 9 4 1 7 1 . 0 0 5 3 9 9 9 0 6 9 1 . 0 0 5 7 6 5 7 3 8 3

1 .0061314 359 1 . 0 0 6 4 9 6 9 9 9 8 1 .0068624 301 1 . 0 0 7 2 2 7 7 2 6 9 1 . 0 0 7 5 9 2 8 9 0 3

1 . 0 0 7 9 5 7 9 2 0 4 1 .0083228 173 1 .0086875 811 1 .0090522 120 1 . 0 0 9 4 1 6 7 0 9 9

1 .0097810 750 1 . 0 1 0 1 4 5 3 0 7 3 1 .0105094 071 i . 0 1 0 8 7 3 3 744 1 .0112372 092

Δ 1

3703 o i 8 3701 647 3 7 0 0 2 7 8 3698 909 3 6 9 7 5 4 1

3696 174 3694 809 3 6 93 445 3692 0 8 0 3690 718

3 6 8 9 3 5 6 3 6 8 7 9 9 6 3 6 6 6 6 3 6 3 6 8 5 2 7 7 3683 920 1

3682 563 3681 207 3 6 7 9 8 5 3 3678 500 3677 146

3675 795 3674 444 3673 095 3671 745 3 6 7 0 3 9 9

3 6 6 9 0 5 2 3667 706 3606 361 3 6 6 5 0 1 7 3663 675

3 6 6 2 3 3 3 3660 992 3 S 5 9 6 5 2 3 6 5 8 3 1 4 3656 976

3 6 5 5 6 3 9 3654 303 3 6 5 2 9 6 8 3 6 5 1 6 3 4 3 6 5 0 3 0 1

3648 969 3 6 4 7 6 3 8 3646 309 3644 979 3 6 4 3 6 5 1

3642 323 3640 998 3 6 3 9 6 7 3 3638 34* 3 6 3 7 0 2 5

- Δ 2

1371 1370 1369 i 3 6 8 1367

1366 1364 1365 1363 1362

1361 1360 1359 1358 1357

1356 1355 1354 1354 1352

1351 1350 1350 1348 1347

1346 1345 1344 1343 1342

1341 1340 1339 1338 1337

1336 1335 1334 1333 1332

1331 1330 1330 1329 1328

1326 x325 *325 1324 1323

X

2 . 7 5 0 2 . 7 5 1 2 . 7 5 2 2 . 7 5 3 2 . 7 5 4

2 .755 2 . 7 5 6 2 . 7 5 7 2 , 7 5 8 2 . 7 5 9

2 . 7 6 0 2 . 7 6 1 2 . 7 6 2 2 , 7 6 3 2 . 7 6 4

2 .765 2 . 7 6 6 2 . 7 6 7 2 , 7 6 8 2 . 7 6 9

2 . 7 7 0 2 . 7 7 1 2 . 7 7 2 2 . 7 7 3 2 . 7 7 4

2 . 7 7 5 2 . 7 7 6 2 . 7 7 7 2 . 7 7 8 2 . 7 7 9

2 . 7 8 0 2 . 7 8 1 2 . 7 8 2 2 . 7 8 3 2 . 7 8 4

2 . 7 8 5 2 . 7 8 6 2 . 7 8 7 2 . 7 8 8 2 . 7 8 9

2.7ÇO 2 . 7 9 1 2 . 7 9 2 2 . 7 9 3 2 . 7 9 4

2 . 7 9 5 2 . 7 9 6 2 . 7 9 7 2 . 7 9 8 2 . 7 9 9

In x

1 . 0 1 1 6 0 0 9 1 1 7 1 .0119644 819 1 .0123279 201 T .0126912 262 1 .0130544 003

1 . 0 1 3 4 1 7 4 4 2 6 1 . 0 1 3 7 8 0 3 5 3 2 1 .0141431 320

! 1 . 0 1 4 5 0 5 7 7 9 4 1 .0148682 952

1 , 0 1 5 2 3 0 6 7 9 7 1 .0155929 329 1 . 0 1 5 9 5 5 0 5 5 0 1 . 0 1 6 3 1 7 0 4 5 9 1 . 0 1 6 6 7 8 9 0 5 9

1 . 0 1 7 0 4 0 6 3 5 0 1 .0174022 332 1 . 0 1 7 7 6 3 7 0 0 8 1 . 0 1 8 1 2 5 0 3 7 8 1 . 0 1 8 4 8 6 2 4 4 2

LOI88473 202 I . O I 9 2 0 8 2 6 5 9 I.OI9569O 813 I . O I 9 9 2 9 7 6 6 6 I.O2029O5 219

I . O 2 0 6 5 0 7 4 7 2 I .O2IOIIO426 I .O213712083 i . 0 2 1 7 3 1 2 443 I . O 2 2 0 9 I I 5 0 8

î .O2245O9 277 i . 0 2 2 8 1 0 5 753 1 , 0 2 3 1 7 0 0 9 3 5 1 . 0 2 3 5 2 9 4 8 2 5 1 . 0 2 3 8 8 8 7 4 2 5

1 . 0 2 4 2 4 7 8 7 3 4 1 . 0 2 4 6 0 6 8 7 5 4 1 . 0 2 4 9 6 5 7 4 8 5 1 . 0 2 5 3 2 4 4 9 2 9 1 . 0 2 5 6 8 3 1 0 8 6

1.0260415 958 1 . 0 2 6 3 9 9 9 5 4 6 1 .0267581 849 1 . 0 2 7 1 1 6 2 8 7 0 1 . 0 2 7 4 7 4 2 6 0 8

1 .0278321 066 1 . 0 2 8 1 8 9 8 2 4 4 1 .0285474 142 1 . 0 2 8 9 0 4 8 7 6 2 1 .0292622 105

Δ ΐ

3 6 35 702 3634 382 3633 061 3 6 3 1 7 4 1 3 6 3 0 4 2 3

3629 106 3627 788 3626 474 3625 158 5623 845

3622 532 3621 221 3619 909 3 6 1 8 6 0 0 3 6 1 7 2 9 1

3615 982 3 6 1 4 6 7 6 3615 370 3 6 1 2 0 6 4 3610 760

3 6 0 9 4 5 7 3608 154 3 6 0 6 8 5 3 3605 553 5 6 0 4 2 5 3

3 t o 2 954 3601 657 3 6 0 0 3 6 0 5 5 9 9 0 6 5 3 5 9 7 7 6 9 !

3 5 9 6 4 7 6 3 5 9 5 1 8 2 3 5 9 3 8 9 0 3592 6 c o 3 5 9 1 3 0 9

3 5 9 0 0 2 0 3 5 8 8 7 3 1 3587 444 3 5 8 6 1 5 7 3 5 8 4 8 7 2

3583 588 3582 303 3 5 8 1 0 2 1 3579 738 3578 458

3 5 7 7 1 7 8 3575 898 3 5 7 4 6 2 0 3573 343 3 5 7 2 0 6 7

- A 2

1321 1321 1320 1319 1518

1318 1316 1315 1314 1315

1312 1312 1310 1309 1309

1307 1306 1306 1305 1303

1303 1302 1300 1300 1299

1298 1297 1296 1296 1294

T294 1293 1291 1291 1290

1289 1288 1287 1286 1285

1284 1283 1283 1281 1280

1280 1 1279 1277 1276 1276

18

Page 27: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2. 8θΟ 2 . 8 0 1 2 . 8 θ 2

I 2 . 8 0 3 2 . 8 0 4

2 . 8 0 5 2 . 8 0 6 2 . 8 0 7 2 . 8 0 8 2 . 8 0 9

2 . 8 1 0 2 . 8 1 I 2 . 8 1 2 2 , 8 1 3 2 . 8 1 4

2 . 8 1 5 2 . 8 1 6 2 . 8 1 7 2 . 8 1 8

1 2 , 8 1 9

I 2 . 8 2 0 2 . 8 2 1

I 2 . 8 2 2 2 . 8 2 3 2 , 8 2 4

2 . 8 2 5 2 . 8 2 6 2 . 8 2 7 2 , 8 2 8 2 . 8 2 9

2 . 8 3 0 2 . 8 3 1 2 . 8 3 2 2 . 8 3 3 2 . 8 3 4

2 . 8 3 5 2 . 8 3 6 2 . 8 3 7 2 . 8 3 8 2 . 8 3 9

2 . 8 4 0 2 . 8 4 1 2 . 8 4 2 2 . 8 4 3 2 . 8 4 4

2 . 8 4 5 2 . 8 4 6 2 . 8 4 7 2 . 8 4 8 2 . 8 4 9

In x

1 .0296194 172 1 . 0 2 9 9 7 6 4 9 6 3 T . 0 3 0 3 3 3 4 479 1 . 0 3 0 6 9 0 2 7 2 2

1 1 .0310469 692

1 .0314035 390 1 . 0 3 1 7 5 9 9 8 1 7 i . 0 3 2 1 1 6 2 974 1 . 0 3 2 4 7 2 4 8 6 2 1 . 0 3 2 8 2 8 5 4 8 1

1 . 0 3 3 1 8 4 4 8 3 3 1 .0335402 919 1 . 0 3 3 8 9 5 9 7 3 9 1 .0342515 295 1 . 0 3 4 6 0 6 9 5 8 7

1 .0349622 616 1 . 0 3 5 3 1 7 4 3 8 3 1 . 0 3 5 6 7 2 4 8 8 9 1 .0360274 135 1 .0363822 121

1 . 0 3 6 7 3 6 8 8 5 0 1 .0370914 320 1 . 0 3 7 4 4 5 8 5 3 4 i . 03 78001 493 1 .0381543 196

1.030*5083 646 1 . 0 3 8 8 6 2 2 8 4 3 1 .0392160 787 1 . 0 3 9 5 6 9 7 4 8 0 1 .0399232 923

1 .0402767 117 1 .04 06 300 061 1 .0409831 758 1 , 0 4 1 3 3 6 2 2 0 8 1 ,0416891 413

1 .0420419 372 1 . 0 4 2 3 9 4 6 0 8 7 I . 0 4 2 7 4 7 1 558 1 .0430995 787 1 . 0 4 3 4 5 1 8 7 7 5

1 .0438040 522 1 .0441561 029 1 . 0 4 4 5 0 8 0 2 9 7 1 . 0 4 4 8 5 9 8 3 2 7 1 .0452115 119

1 . 0 4 5 5 6 3 0 6 7 6 1 . 0 4 5 9 1 4 4 9 9 7 1 . 0 4 6 2 6 5 8 0 8 3 1 . 0 4 6 6 1 6 9 9 3 5 1 . 0 4 6 9 6 8 0 5 5 5

A l

1

3570 791 3 5 6 9 5 1 6 3 5 6 8 2 4 3 3 5 6 6 9 7 0 3 5 6 5 6 9 8

3 5 6 4 4 2 7 3 5 6 3 1 5 7 3561 888 3 5 6 0 6 1 9 3 5 5 9 3 5 2

3 5 5 8 0 8 6 3 5 5 6 8 2 0 3555 556 3 5 5 4 2 9 2 3^53 029

3 5 5 1 7 6 7 3550 506 3549 246 3547 986 3546 729

3545 470 3544 214 3542 959 3541 703 3540 4 5 0

3539 197 3537 944 3 5 3 6 6 9 3 3535 443 3 5 3 4 1 9 4

3532 944 3 5 3 1 6 9 7 3 5 3 0 4 5 0 3 5 2 9 2 0 5 3527 959

3 5 2 6 7 1 5 3525 471 3 5 2 4 2 2 9 3 5 2 2 9 8 8 3 5 2 1 7 4 7

3 5 2 0 5 0 7 3 5 1 9 2 6 8 3 5 1 8 0 3 0 3 5 1 6 7 9 2 3515 557

3 5 M 321 3 5 1 3 0 8 6 3 5 1 1 8 5 2 3 5 1 0 6 2 0 3 5 0 9 3 8 8

- Δ 2

1275 1274 1273 1272 1271

127Ο 1269 I269 1268 1266

1266 1265 1264 1263 1262

I 2 6 l I260 I260 I259 1258

1257 1256 1255 1254 1253

1253 I252 I25O I25O 1249

I 2 4 8 I247 1246 I246 1245

I 2 4 4 1243 1241 1241 124Ο

I239 1238 1238 1236 I236

I235 1234 I233 I232 1232

X

2 , 8 5 0 2 . 8 5 1 2 . 8 5 2 2 . 8 5 3 2 . 8 5 4

2 . 8 5 5 2 . 8 5 6 2 . 8 5 7 2 . 8 5 8 2 : 8 5 9

2 . 8 6 0 2 . 8 6 1 2 . 8 6 2 2 . 8 6 3 2 . 8 6 4

2 . 8 6 5 2 . 8 6 6 2 . 8 6 7 2 . 8 6 8 2 : 8 6 9

2 . 8 7 0 2 . 8 7 1 2 . 8 7 2 2 . 8 7 3 2 . 8 7 4

2 . 8 7 5 2 . 8 7 6 2 . 8 7 7 2 . 8 7 8 2 . 8 7 9

2 . 8 8 0 2 . 8 8 1 2 . 8 8 2 2 . 8 8 5 2 . 8 8 4

2 . 8 8 5 2 , 8 8 6 2 : 8 8 7 2 . 8 8 8 2 . 8 8 9

2 . 8 9 0 2 . 8 9 1 2 . 8 9 2 2 . 8 9 3 2 . 8 9 4

2 . 8 9 5 2 . 8 9 6 2 . 8 9 7 2 . 8 9 8 2 . 8 9 9

111 X

1 . 0 4 7 3 1 8 9 9 4 3 1 . 0 4 7 6 6 9 8 0 9 9 1 . 0 4 8 0 2 0 5 0 2 6 τ . 0 4 8 3 7 1 0 722 7.O4872T5 I9T

I.O49O718 43I I .O494220445 1 .0497721 232 I .O5OI220795 I . O 5 0 4 7 1 9 1 3 3

L O 5 0 8 2 1 6 2 4 8 I . O 5 I I 7 1 2 1 4 I I . O 5 1 5 2 0 6 8 1 I i . 0518700 261 1 .0522192 491

1 . 0 5 2 5 6 8 3 5 0 2 1 . 0 5 2 9 1 7 3 2 9 4 1 . 0 5 3 2 6 6 1 8 6 9 1 .0536149 227 1 . 0 5 3 9 6 3 5 3 7 0

1 . 0 5 4 3 1 2 0 2 9 8 1 .0546604 011 1 .0550086 512 1 .0553567 800 1 . 0 5 5 7 0 4 7 8 7 7

1 . 0 5 6 0 5 2 6 7 4 2 1 .0564004 399 1 . 0 5 6 7 4 8 0 8 4 6 1 . 0 5 7 0 9 5 6 0 8 5 1 . 0 5 7 4 4 3 0 116

T . 05 77902 941 1 .0581374 561 1 . 0 5 8 4 8 4 4 9 7 6 1 .0588314 187 1 .0591782 194

1 .0595249 o c o 1 ,0598714 604 1 .0602179 007 1 .0605642 210 1 .0609104 215

1 .0612565 021 1 .0616024 630 1 . 0 6 1 9 4 8 3 0 4 3 1 . 0 6 2 2 9 4 0 2 6 0 1 .0626396 282

1 .0629851 110 1 . 0 6 3 3 3 0 4 7 4 5 1 . 0 6 3 6 7 5 7 1 8 8 1 . 0 6 4 0 2 0 8 4 3 9 1 . 0 6 4 3 6 5 8 4 9 9

Δ ι

3 5 0 8 1 5 6 3 5 0 6 9 2 7 3505 696 3 5 0 4 4 6 9 3 5 0 3 2 4 0

3502 014 3500 787 3499 563 3 4 9 8 3 3 8 3497 115

3495 893 3494 670 3493 450

. 3 4 9 2 2 3 0 I 3 4 9 1 0 1 1

3489 792 3 4 8 8 5 7 5 3487 358 3486 143 3484 928

3 4 8 3 7 1 3 3482 501 3481 288 34800*77 3478 8 6 5

3477 657 3476 447 3475 239 3474 031 3472 825

3471 620 3470 415 3469 211 3468 007 3466 8o6

3 4 6 5 6 0 4 3464 403 3 4 6 3 2 0 3 3462 005 3460 806

3459 609 3 4 5 8 4 1 3 3 4 5 7 2 1 7 3 4 5 6 0 2 2 3454 828

3453 635 3452 443 3 4 5 1 2 5 1 3 4 5 0 0 6 0 3448 871

- Δ 2

1231 1230 1229 T228 1227

1227 1226

1 1225 1224 1223

1222 1221 1220 1219 1219

I 2 l 8 1217 1 I216 I215 1215

I214 I213 1212 1212 1210

I2O9 I2O9 I208 1207 I2O5

I205 I204 1204 1203 1 1202 1

I20I 1 1200 1 1199 I I 9 9 I I 9 8

1196 1196 I I95 1194 1193

1192 I 1192 I 1191 1190 I 1190 I

19

Page 28: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

2.900 2.QOI 3.902 2.903 2.904

2.90$ 2.906 2.907 2.908 2,909

2.910 2.911 2.912 2.913 2.914

2.915 2.916 2.917 2.918 2.919

2.920 2.921 2.922 2.923 2.924

2.92$ 2.926 2.927 2.928 2.929

2.930 2.93* 2.9*2 2.933 2.934

2.93S 2.936 2.937 2.938 2.939

2.94C 2.941 2.942 2.943 *·944

2.945 2.946 2.947 2.948 2.949

In x

ι . 0647107 37° 1.0650$$$ ο$ι i .o6$4ooi $4$ i.o6$7446 8$o 1.0660890970

1.0664333903 1.066777$ 6$ 1 1.0671216216 1.06746$$ $97 1.067809379$

τ.ο68ι$3θ8ΐ2 1.0684966648 1.0688401 303 1.0691834 780 1.069$ 267 078

1.0698698198 1.0702128 141 1.070$ $$6 909 1.07089845:01 1.0712410 919

i . 07 i$836 i63 1.0719260 234 1.0722683 133 1.0726104 861 1.0729525 419

1.0732944807 1.0736363026 1.0739780077 I . 0 7 4 3 I 9 5 9 6 I 1.0746610 678

i.07$0024 230 1.0753436617 i .07$6847840 1.07602$ 7 900 1.0763666797

1.0767074 $33 1.0770481108 1.0773886 $22 1.0777290778 1.0780693874

1.078409$ 814 1.0787496596 1.0790896 222 I.O794294693 i .0797692 009

i . 0801088 171 i , 0804483 180 I.0807877038 I.081126974} I.0814661290

Δ χ

3447 68i 3446 494 3445 30$ 3444120 3442 933

3441748 3440565 3439 381 3438 198 3437017

3435 836 3434 655 3433 477 3432 298 3431120

3429 943 3428 768 3427 592 3426 418 3425 244

3424071 3422 899 3421 728 3420$58 3419 3 8 8

3418219 3417051 3415 884 3414717 3413552

3412387 3411223 3410060 3408 897 3407 736

3406 $7$ 340$ 414 3404 256 3403 096 3401 940

3400 782 3399626 3398 471 3397 3^6 3396 162

3395009 3393 8$8 3392 705 3391555 3390406

- Δ 2

1189 i i 88 1187 1186 1186

1184 1184 1183 1182 1I8I

1181 1180 1179 1178 1177

1176 1176 1175 1174 1173

1172 I17I 1170 II70 1169

1168 1167 1167 1166 u 6 $

1164 1163 1163 1162 n 6 i

1161 1160 1159 1158 " 5 7

1157 «55 " 5 - 5 1154 1153

1I$2 II52 II5I l t$0 II$0

X

2.950 2.951 2.952 2.953 2.954

2-955 2.956 2.957 2.958 2.959

2.960 2.961 2.962 2.963 2.964

2.965 -2.966 2.967 2.968 2.969

2.970 2.971 2.972 2.973 2.974

2.975 2.976 2-977 2.978 2.979

2.980 2.981 2.982 2,983 2.984

a-9f5 2.986 2.987 2.988 2.989

2.990 2.991 2.992 2.993 2.994

2.99$ 2.996 2.997 2.998 2,999

In x

1.08180$ 1 704 1.0821440 960 1,0824829067 1.0828216028 1.0831601 841

1.0834986 $09 1.0838370 031 i .o84i7$2 409 1.0845133643 i .o848$i3 734

1.08$ 1892 683 i.o8$$270 49i 1.0858647158 1.0862022686 1.0865397074

1.0868770324 1.0872142437 1.0875513413 1.0878883255 1.0882251958

1.0885619528 1.088898596$ 1.08923$! 269 1.089$ 71 $440 i .0899078 480

1.0902440390 i.O90$8oi 170 1.0909160820 i . 09 i2$ i9 343 1.0915876737

1.0919233005 1.0922588147 1.092$ 942 163 1.092929$ 0$$ 1.0932646823

1.0935997468 1.0939346991 1.094269$ 392 1.0946042673 1.0949388833

i.09$2733 874 ι.θ9$6θ77 796 1.09$ 9420 601 1.0962762289 1.0966102860

1.0969442 316 1 0972780 6$7 1.0976117883 1.0979453997 1.0982788998

Δ ΐ

3389256 3388 107 3386961 3 38$ 813 3384 668

3383 522 3382 378 3381234 3380091 3378949

3377808 3376667 3375 528 3374 388 3373250

3372113 3370976 3369840 3368 705 3367570

3366 437 3365 304 3364171 3363040 3361910

3360780 3359650 3358 523 3357 394 3356268

3355 142 ! 3354016

3352892 3351 768 3350 64$

3349 523 3348401 3347281 3346 160 3345 041

3343 922 3342805 3341 688 3340571 3339 456

$338 341 3337226 3336114 3335001 3333 889

- Δ 2

1149 U 4 8 1147 1146 1146

1145 1144 n 4 3 1142 i i 4 i 1

i i 4 i 1140 1140 1139 1137

1137 1136 1 1135 1135 1134

1133 1133 1132 1131 1130 1

1130 1129 1128 1127 1126

1126 1125 1124 1123 1122

1122 1121 1121 I120 1119

ι ι ι δ 1II7 III7 111

1115

*"* 1114 1113 1112 1111

'20

Page 29: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3 - 0 0 0 3-001 3 . 0 0 2 3-003 3 -004

3-005 3 · θ θ 6 3 -007 3 · 0 ° 8

3-009

3·0Ι° 3 - 0 H 3 . 0 1 2 3 -013 3 -014

3-015 3 . 0 1 6 3 -017 3 . 0 1 8 3 -019

3 · 0 2 0

3 . 0 2 1 3 ·°2 2

3 .025 3 - 0 2 4

3 025 1 3 -026

3 027 1 3 -028 1 3·029

3 030 3-031 3 -032 3-033 3 034

3 035 3-036 3 -037 3 · 0 3 8 3 039

3 ° 4 0 3-041 3 -042 3 -043 3 -044

3 045 3-046 3 -047 3 - 0 4 8 3 049

In χ

1 . 0 9 8 6 1 2 2 8 8 7 1 .0989455 6 6 5 ι . 0 9 9 2 7 8 7 3 3 2

1 . 0 9 9 6 1 1 7 8 9 0 1 .0999447 339

1.1002775 68ο 1 . 1 0 0 6 1 0 2 9 1 3 1 . 1 0 0 9 4 2 9 0 4 0 1 .1012754 ο 6 ι 1 .1016077 976

1 . 1 0 1 9 4 0 0 7 8 8 1 .1022722 495 ι . 1026043 099 ι . 1029362 6 ο ι 1 . 1 0 3 2 6 8 1 0 0 2

Ι . Ι 0 3 5 9 9 8 3°2 ι.ΐ0393!4 5°ι τ . 1042629 6θ2 1 .1045943 6 ° 3 1 . 1 0 4 9 2 5 6 5 0 7

1 .1052568 3 ΐ 4 1 .1055879 0 2 4 1 . 1 0 5 9 1 8 8 6 3 9 1 .1062497 158 1 .1065804 5 8 3

1 .1069110 915 1 .1072416 154 1 . 1 0 7 5 7 2 0 3 0 0 1 .1079023 356 1.1082325 320

1 .1085626 195 1.1088925 981 ι . 1092224 678 Ι . Ι 0 9 5 5 2 2 287 1 . 1 0 9 8 8 1 8 8 0 9

1 . 1 I 0 2 I I 4 245 L I 105408 595 ι . ι 1 0 8 7 0 1 8 6 1 n i 1 1 9 9 4 0 4 2 1 .1115285 139

1 .1118575 154 1 . 1 1 2 1 8 6 4 0 8 7 1 . 1 1 2 5 1 5 1 9 3 8 1 . 1 1 2 8 4 3 8 7 0 9 τ . 1131724 400

1 . 1 1 3 5 0 0 9 0 1 2 1 . 1 1 3 8 2 9 2 5 4 5 1 . T 1 4 1 5 7 5 0 0 0 1 .1144856 378 1 . 1 1 4 8 1 3 5 6 8 0

Δ ΐ

3332 778 3331 6 6 7 3 3 3 0 5 5 8 3329 449 3 3 2 8 3 4 1

3327 233 3326 127 3 3 2 5 0 2 1 3323 9ΐ5 3 3 2 2 8 1 2

3321 707 3 3 2 0 6 0 4 3319 502 3 3 1 8 4 0 1 3317 300

3316 ι% 3315 TOI 3 3 1 4 0 0 1 3 3 1 2 9 0 4 3311 807

3 3 1 0 7 1 0 3 3 0 9 6 1 5 3 3 0 8 5 1 9 3 3 0 7 4 2 5 3 3 0 6 3 3 2

3305 239 3304 146 3303 056 3301 964 3 3 0 0 8 7 5

3299 786 3298 697 3297 609 3296 5 2 2

3 2 95 436

3 2 94 350 3 2 9 3 266 3292 ι8ι 3291 097 3 2 9 0 0 1 5

3 2 8 8 933 3 2 8 7 8 5 1 3286 771 3 2 δ 5 691 3 2 8 4 6 1 2

3283 533 3282455 328ι 378 3280 302 3 2 7 9 226

- Δ 2

1111 1110 1109 ιιο8 ιιο8

1107 ιιο6 ιιο6 1105 Ι Ι 0 4

1104 1103 1102 I10I n o i

1100 1099 1098 1097 1097

1096 1096 1095 1094 1093

1093 1092 1091 1090 1089

1089 1088 1087 1086 1086

1085 1085 1084 1083 1082

1082 1081 1080 1079 1079

1078 1077 1076 1076 1075

X

3 . 0 5 0 3 . 0 5 1 3 . 0 5 2 3 0 5 3 3 - 0 5 4

3-055 3 . 0 5 6 3 - 0 5 7 3 . 0 5 8 3 - 0 5 9

3 . 0 6 0 3 . 0 6 1 3 . 0 6 2 3 . 0 6 3 3 . 0 6 4

3 . 0 6 5 3 . 0 6 6 3 . 0 6 7 3 . 0 6 8 3 . 0 6 9

3 . 0 7 0 3 . 0 7 1 3 . 0 7 2 3 . 0 7 3 3 . 0 7 4

3 0 7 5 3 . 0 7 6 3 . 0 7 7 3 0 7 8 3 - 0 7 9

3 . 0 8 0 3 . 0 8 1 3 · ° 8 2 3 -083 3 - 0 8 4

3-085 3 - 0 8 6 3 . 0 8 7 3 · ° 8 8 3 - 0 8 9

3 . 0 9 0 3 . 0 9 1 3 . 0 9 2 3 . 0 9 3 3 - 0 9 4

3-095 3 - 0 9 6 3 - 0 9 7 3 . 0 9 8 3 -099

1η χ

1.1151415 9 ° 6 1 .1154694 057 ΐ - 1 1 5 7 9 7 1 134 1 .1161247 138 ι . ι 1645 22 068

1 .1167795 9 2 6 1 .1171068 713 L I 1 7 4 3 4 0 4 2 9 1 .1177611 075 1 . 1 1 8 0 8 8 0 6 5 2

1 .1184149 ι 6 ο L I 1 8 7 4 1 6 6 0 0 1 . 1 1 9 0 6 8 2 9 7 2 1 . 1 1 9 3 9 4 8 2 7 9 1 .1197212 519

1.12C0475 694 1 . 1 2 0 3 7 3 7 8 0 4 1 . 1 2 0 6 9 9 8 8 5 1 1 . 1 2 1 0 2 5 8 8 3 5 1 .1213517 7 5 6

1.1216775 6 ι 6 1 . 1 2 2 0 0 3 2 4 1 5 1 .1223288 153 1 . 1 2 2 6 5 4 2 8 3 1 1 , 1 2 2 9 7 9 6 4 5 1

1 .1233049 013 1 .1236300 5 ΐ6 1 .1239550 963 1 .1242800 354 1 .1246048 689

1 . 1 2 4 9 2 9 5 9 7 0 1 . 1 2 5 2 5 4 2 1 9 6 ι.ΐ255787 369 Τ . 1 2 5 9 0 3 1 4 8 9 1 .1262274 557

1 . 1 2 6 5 5 1 6 5 7 4 1 . 1 2 6 8 7 5 7 5 3 9 1 . 1 2 7 1 9 9 7 4 5 5 1 .1275236 322 1 : 1 2 7 8 4 7 4 1 3 9

1 . 1 2 8 1 7 1 0 9 0 9 1 .1284946 631 1 .1288181 307 1 . 1 2 9 1 4 1 4 9 3 7 I . I294647 522

Ι . Τ 2 9 7 8 7 9 0 6 Ι 1 .1301109 557 1 . 1 3 0 4 3 3 9 0 1 0 1 .1307567 420 1 .1310794 788

Δ ΐ

3 2 7 8 1 5 1 3 2 7 7 0 7 7 3276 004 3 2 7 4 930 3 2 7 3 8 5 8

3272 787 3271 7 ΐ6 3270 646 3 2 6 9 5 7 7 3268 508

3267 440 3266 372 3265 307 3264 240 3263 175

3262 n o 3261 047 3259 984 3 2 5 8 9 2 1 3 2 5 7 8 6 0

3256 799 3255 738 3 2 5 4 6 7 8 3253 620 3252 562

3 2 5 1 3 0 3 3 2 5 0 4 4 7 3249 391 3 2 4 8 3 3 5 3 2 4 7 2 8 1

3246 226 3245 173 3 2 4 4 120 3 2 4 3 ° 6 8 3 2 4 2 0 1 7

3 2 4 0 9 6 5 3 2 3 9 9 1 6 3 2 3 8 8 6 7 3 2 3 7 8 1 7 3236 770

3235 722 3234 676 3233 630 3 2 3 2 5 8 5 3 2 3 1 5 3 9

3 2 3 0 4 9 6 3229 453 3 2 2 8 4 1 0 3227 368 3226 327

- Δ 2

1074 1073 1073 1073 1072

1071 1070 1069 1 1069 I το68

ιο68 1067 ιο66 1 ιο66 1065

i c 6 4 1063 1063 1062 1061 1

1061 1060 1059 1058 1058

1057 1056 1056 1055 1055

Χ054 1053 1052 1051 1051

1050 1049 1049 1048 1048

1047 1046 1045 1045 1044

1043 1043 1042 1041 1041

21

Page 30: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3 · 10° 3 -101 3 - 1 0 2 3 . 1 0 3 3 -104

3-105 3 - ιο6 3-107 3 -108 3 -109

3 . 1 1 0 3 . 1 1 1 3 . 1 1 2 3 1 1 3 3 1 1 4

3 1 1 5 3 1 1 6 3 . 1 1 7 3 1 1 8 3 1 1 9

1 3 1 2 0

3 . 1 2 2 3 . 1 2 3 3 . 1 2 4

3 1 2 5 I 3.126

3 1 2 7 3 . 1 2 8 3 :129

3 1 3 0 3 1 3 1 3 . 1 3 2 3 . 1 3 3 3 . 1 3 4

3-135 3 . 1 3 6 3 - 1 3 7 3 . 1 3 8 3 . 1 3 9

3 . 1 4 0 3 . 1 4 1 3 . 1 4 2 3 . 1 4 3 3 . 1 4 4

3 . 1 4 5 3 . 1 4 6 3«*47 3 . 1 4 8 3 . 1 4 9

In x

1.1314021 115 1 . 1 3 1 7 2 4 6 4 0 1 1 .1320470 648 1 . 1 3 2 3 6 9 3 8 5 5 1 .1326916 023

1 . 1 3 3 0 1 3 7 1 5 4 1 . 1 3 3 3 3 5 7 2 4 7 1 .1336576 304 1 .1339794 325 1 .1343011 311

1 , 1 3 4 6 2 2 7 2 6 2 1 , 1 3 4 9 4 4 2 1 7 9 1 , 1 3 5 2 6 5 6 0 6 3 T. 1355868 915 1 . 1 3 5 9 0 8 0 7 3 4

1 , 1 3 6 2 2 9 1 5 2 2 1 ,1365501 280 1 , 1 3 6 8 7 1 0 0 0 8 I . I 3 7 I 9 1 7 7 0 6 1 . 1 3 7 5 1 2 4 3 7 6

1 .1378330 018 1 . I 3 8 I 5 3 4 6 3 3 I . I 3 8 4 7 3 8 221 Γ. 1387940 783 I . I 3 9 I I 4 2 32Ο

1 .1394342 832 1 .1397542 320 1 . 1 4 0 0 7 4 0 7 8 5 1 . 1 4 0 3 9 3 8 2 2 7 I . I 4 0 7 I 3 4 6 4 7

I . I 4 I 0 3 3 0 0 4 6 1 . 1 4 1 3 5 2 4 4 2 3 1 . 1 4 1 6 7 1 7 7 8 1 I . I 4 I 9 9 I 0 1 2 0 I . I 4 2 3 I 0 1 4 3 9

1 .1426291 741 1 .1429481 025 1 .1432669 292 1 . 1 4 3 5 8 5 6 5 4 3 1 . 1 4 3 9 0 4 2 7 7 9

i . 1442227 999 1 . 1 4 4 5 4 1 2 2 0 6 1 . 1 4 4 8 5 9 5 3 9 8 1 . 1 4 5 1 7 7 7 5 7 8 1 .1454958 746

1 .1458138 902 1 , 1 4 6 1 3 1 8 0 4 6 1 .1464496 181 1 .1467673 306 1 .1470849 421

Δχ

3225 286 3224 247 3223 207 3222 l 6 8 3221 131

3 2 2 0 0 9 3 3 2 1 9 0 5 7 3218 021 3 2 1 6 9 8 6 3 2 1 5 9 5 1

3 2 1 4 9 1 7 3213 884 3 2 1 2 8 5 2 3211 819 3210 788

3209 758 3208 728 3207 698 3206 670 3205 642

3 2 0 4 6 1 5 3203 588 3202 562 3201 537 3200 512

3 1 9 9 4 8 8 3 1 9 8 4 6 5 3 1 9 7 4 4 2 3 1 9 6 4 2 0 3 1 9 5 3 9 9

3 1 9 4 3 7 7 3 1 9 3 3 5 8 3 1 9 2 3 3 9 3191 319 3 1 9 0 3 0 2

3 1 8 9 2 8 4 3 1 8 8 2 6 7 3 1 8 7 2 5 1 3 1 8 6 2 3 6 3 1 8 5 2 2 0

3 1 8 4 2 0 7 3183 192 3182 180 3181 168 3 1 8 0 1 5 6

3 1 7 9 1 4 4 3 1 7 8 1 3 5 3 1 7 7 1 2 5 3 1 7 6 1 1 5 3175 107

- A

1040 1040 1039

1 1038 > 1038

1037 1036 1035 1035 1034

1033 1033 1032 1032 1031

1030 1 0 3 a 1029 1028 1027

1027 1026 1025 1025 1024

1023 1023 1022 1021 1021

1020 1019 1019 1018 1018

1017 1016 1015 1015 1014

1014 1013 1012 1012 1012

1011 1010 1010 1009 1008

X

3 . 1 5 0 3 . 1 5 1 3 . 1 5 2 3 . 1 5 3 3 . 1 5 4

3 .155 3 . 1 5 6 3 -157 3 . 1 5 8 3 . 1 5 9

3 . 1 6 0 3 .161 3 . 1 6 2 3 . 1 6 3 3 .164

3 .165 3 . 1 6 6 3 . 1 6 7 3 . 1 6 8 3 . 1 6 9

3 . 1 7 0 3 . 1 7 1 3 . 1 7 2 3 . 1 7 3 3 . 1 7 4

3 . 1 7 5 3 . 1 7 6 3 -177 3 -178 3 -179

3 . 1 8 0 3 . 1 8 1 3 . 1 8 2 3 . 1 8 3 3 . 1 8 4

3 . 1 8 5 3 . 1 8 6 3 . 1 8 7 3 . 1 8 8 3 . 1 8 9

3 . 1 9 0 3 . 1 9 1 3 . 1 9 2 3 . 1 9 3 3 . 1 9 4

3 . 1 9 5 3 . 1 9 6 3 -197 3 . 1 9 8 3 . 1 9 9

In x

1 . 1 4 7 4 0 2 4 5 2 8 1 . 1 4 7 7 1 9 8 6 2 8 1 .1480371 72c 1 .1483543 806 1 . 1 4 8 6 7 1 4 8 8 5

1 .1489884 960 1 .1493054 030 1 .1496222 096 1 . 1 4 9 9 3 8 9 1 5 8 1 .1502555 218

1.1505 720 276 1 . T 5 0 8 8 8 4 3 3 2 1 .1512047 388 I . I 5 I 5 2 0 9 4 4 3 I . I 5 I 8 3 7 0 4 9 9

1 . 1 5 2 1 5 3 0 5 5 6 1 .1524689 615 1 .1527847 676 1 . 1 5 3 1 0 0 4 7 4 0 I . T 5 3 4 I 6 0 8 0 7

1 . 1 5 3 7 3 1 5 8 7 9 1 .1540469 956 1 . 1 5 4 3 6 2 3 0 3 8 1 . 1 5 4 6 7 7 5 1 2 6 1 , 1 5 4 9 9 2 6 2 2 1

1 . 1 5 5 5 0 7 6 3 2 3 1 . 1 5 5 6 2 2 5 4 3 4 1 . 1 5 5 9 3 7 3 5 5 3 1 .1562520 681 1 . 1 5 6 5 6 6 6 8 1 9

1 . 1 5 6 8 8 1 1 9 6 8 1 .1571956 128 1 . 1 5 7 5 0 9 9 2 9 9 1 .1578241 483 1 . 1 ^ 8 1 3 8 2 6 8 0

1 .1584522 890 1 .1587662 115 1 . 1 5 9 0 8 0 0 3 5 4 1 .1593937 609 1 .1597073 880

1 .1600209 168 1 . 1 6 0 3 3 4 3 4 7 3 1 . 1 6 0 6 4 7 6 7 9 6 1 .1609609 137 1 . 1 6 1 2 7 4 0 4 9 8

I . I 6 I 5 8 7 0 8 7 8 1 . 1 6 1 9 0 0 0 2 7 9 1 . 1 6 2 2 1 2 8 7 0 1 1 .1625256 144 1 . 1 6 2 8 3 8 2 6 1 0

Δχ

3174 i o o 3 1 7 3 0 9 2 3 1 7 2 0 8 6 3 1 7 1 0 7 9 3170075

3169 070 3168 o66 3 1 6 7 0 6 2 3 1 6 6 0 6 0 v

3165 058

3 1 6 4 0 5 6 3 1 6 3 0 5 6 3 1 6 2 0 5 5 3161 056 3 1 6 0 0 5 7

3 1 5 9 0 5 9 3158 061 3 1 5 7 0 6 4 3 1 5 6 0 6 7 3 1 5 5 0 7 2

3 1 5 4 0 7 7 3 1 5 3 0 8 2 3 1 5 2 0 8 8 3 1 5 1 0 9 5 3150 102

3 1 4 9 1 1 1 3148 119 3147 128 3146 138 3145 149

3144 160 3143 171 3142 184 3141 197 3140 210

3 1 3 9 2 2 5 3 1 3 8 2 3 9 3 1 3 7 2 5 5 3 1 3 6 2 7 1 1 3 1 3 5 2 8 8

3 1 3 4 3 0 5 3133323 1 3 1 3 2 3 4 1 3 1 3 1 3 6 1 3 1 3 0 3 8 0

3129 401 3 1 2 8 4 2 2 3 1 2 7 4 4 3 3 1 2 6 4 6 6 3125 488

- Δ 2

i o o 8 1007 1007 1006 1005

1004 1004 1002 1002 1002

IOOI 1001 1000

1 999 998

998 997 997 996 995

995 994 993 993 992

992 991 990 989 989

98c> 988 987 987 986

986 985 984 983 983

982 982 981 981 980

979 979 978 978 977

22

Page 31: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3-200 3-201 3 · 202 3-203 3-204

3-205 3-206 3-207 3·2θ8 3-209

3-210 3-211 3-212 3-213 3-214

3-215 3·2ΐ6 3-217 3-2ΐ8 3-219

3-220 3-221 3-222 3-223 3-224

3-22$ 3-226 3-227 3-228 3-229

3-230 3-231 3-232 3-233 3-234

3-235 3-236 3-237 3-238 3-239

3-240 3-241 3-242 3-243 3-244

3-245 3-246 3-247 3-248 3-249

1η χ

1.1631508098 1.1634632 6ιο 1.1637756 146 ι . 1640878 7θ6 ι . 1644000 292

ι . ι 6 4 7 Ι 2 0 9 ° 4 1.1650240 542 11653359207 1.16564769°° 1.1659593 621

1,1662709 371 1.1665824 151 1.1668937 961 ι . 1672050 8οι 1.1675162673

1.1678273 577 1.1681383 513 1.1684492483 ι . 1687600 486 ι . 1690707 523

1.1693813 596

1.1700022848 1.1703126028 ι . 1706228 246

ι · 1709329 5°2 1.1712429 797 1.1715529131 1.1718627 5°4 1.1721724918

1.1724821 372

1.1727916868 1.173loi ι 4°7 1.1734104987 1.1737197 6 1 2

1.1740289 28ο 1-1743379 992 ι . 1746469 749 1.1749558553 1.1752646402

1.1755733298 1.1758819242 L I 761904 23 3 1.1764988273 ι . 1768071 363

1.1771153 5°2 1.1774234691 1.1777314931 1.1780394 223 Ι.Ι783472567

* ι

3124512 3123536 3122560 3Ι2Ι 586 3120 6ΐ2

3119638 3118665 3117693 3116721 3115 750

3114 780 3113 8ιο 3112 840 3ΙΙΙ 872 3ΐ io 904

3109 93 6

3 ιο8 97° 3 ιο8 003 3107037 3106073

3105 107 3104145 3103 ι8ο 3102 2ΐ8 3101 256

3100295 3099 334 3098 373 3097 414 3096454

3095 49 6

3094 539 3093 5go 3092 625 3091 668

3090712 3089757 3088 804 3087 849 3086 896

3085 944 3084991 3084 040 3083 090 3082 139

3081 189 3080 240 3079 292 3078 344 3077 396

- Δ 2

976 976 975 974 9 7 4

973 972 972 971 970

9 / 0 970

^ι 9βΛ 968

967 9 6 7 966 965 9^5 |

964 964 !

963 962 1 961 !

961 961 960 96ο 959 |

958 | 958 957 956 956

955 954 954 954 953

953 952 951 951 950

949 948 948 948 947

X

?·250 3-351 3-252 3.253 3-254

3-255 3.256 3-257 3-258 3-259

3.260 3.261 3.262 3-263 3.264

3-265 3.266 3.267 3.268 3.269

3-270 3.271 3-272 3-273 | 3-274

3·*75 3-276 3-277 3-278 3-279 1

3.280 3·28ι 3.282 3-283 3-284

3-285 3.286 3 : 2 οΖ 3.288 3-289

3-290 3-291 3-292 3-293 3-294

3-295 3.296 3-297 3-298 3-299

1η χ

1.1786549963 1.1789626 413 1.1792701 9Τ7 1.1795776475 1.1798850088

1.1801922757 1.1804994481 ι . 1808065 263 I.1811135 102 1.1814203 999

1.1817271 954 1.1820338 968 ι. 1823405 042 1.1826470 176 1.1829534 371

1.1832597 627 1.1835659 945 1.1838721 326 1.1841781 77° 1.1844841 277

1.1847899 849 τ. 185095 7 486 1.1854014 187 1.1857069955 1.1860124789

1.1863178691 1.1866231 66ο τ. 1869283 697 1.1872334803 1.1875384979

I. 1878434 224 ι . 1881482 54° 1.1884529927 1,1887576385 1.1890621 9ΐ6

1.1893666 519 1.1896710 196 1.1899752947 1:1902794772 1.1905835 672

1.1908875 648 1.1911914 7°° 1.1914952 828 1.1917990 034 1.1921026 3ΐ8

Τ.1924061 68ο Ι.Ι927Ο96 120 1.1930129 641 1.1933162 241 1,1936193 922

Δχ

3076 450 3075 504 3074558 3073 6ΐ3 3072 669

3071 724 3070 782 3069 839 3068 897 3067955

3067014 3066 074 3065 134 3064 195 3063 256

3062 3ΐ8 3061 381 3060 444 3059 507 3058572

3057637 3056701 3055768 3054834 3053902

3052 969 3052037 3051 ιο6 3050 176 3049 245

3048316 3047387 3046458 3045 531 3044 603

3043677 3042751 3041 825 3040 900 3039976

3039052 3038 128 3037 2θ6 3036 284 3035 362

3034 440 3033 521 3032 6οο 3031 681 3030 763

- Δ 2

946 946 945 944 944

943 943 942 942 941

9 4 0 940 939 939 938

937 937 937 936 935

935 934 934 933 933

932 931 930 9J0 929

929 929 928 928 927

926 1 926 1 925 924 924

924 923 922 1 922 1 922 1

921 1 920 1 920 1 919 9*9

23

Page 32: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3-300 3-301 3-302 3*303 3-304

3-305 3-306 3-307 3-308 3-309

3-310 3 - 3 " 3-312 3-313 3-314

3 3 1 5 3-3*6

33ΐ8 3-3*9

3 320 3.321 3 3 2 2 3 3 2 3 3-324

3-325 3 3 2 6 3-327 3 3 2 8 3*329

3-330 3 3 3 1 3 332 3333 3-334

3335 3336 3-337 333» 3-339

3340 3-341 3-342 3-343 3-344

3345 3-346 3347 3-348 3349

In x

1.1939224 685 1.19422C4529 1.1945283455 1.1948311 464 1.1951338 557

I -1954364 733 1.1957389 994 1.19604x4340 1.196343777a i . 1966460 289

1.1969481894 1.1972502 586 1-1975522365 1.1978541233 1.19815-59x90

1.19845 70 236 1.1987592373 1.1990607600 1.1993621918 1.1996635327

1.1999647 829 1.2002659424 1.2005670112 1.2008679894 1.2011688 77Ο

i . 2014696 741 I.2OI77O3808 I.ÎO2O7O997O l.?023715 23Ο 1.2026719 586

[ 1.2029723040 1^2032725592 I.2O35727243 1.2038727993 T. 2041727 843

1.2044726794 1.2047724845 1.2050721 998 1.2053718 252 1.2056713 610

1.2059708070 1.2062701634 1.2065694302 1.2068686074 1.2071676952

1.2074666936 1.2077656026 1.2080644222 1.2083631526 1.2080617938

Δχ

3029 844 3028 926 3028 009 3027 093 3026 X76

3025 261 3024 346 3023432 3022517 302I 6θ5

3020 692 30I§ Hi 3018 868 3017957 3017 046

3016137 3015 227

; 3014318 1 3013409

3012 502

3011 595 3010 688 3009 782 3008 876 3007971

3007 067 3006 162 3005 260 3004 356 3003 454

3002 552 3001 651 3000750 2999 850 29989.51

2998 051 2997 153 2996254 2995 358 2994 460

2993 564 2992 668 2991 772 2990 878 2989 984

2989 090 2988 196 2987 304 2986 412 2985 520

~ Δ *

9i8 917 916 917 916

915 914 914 913 913

913 912 911 911 910

910 909 909 908 907

907 906 906 905 904

904 903 903 902 902

901 901 900 899 899

899 899 898 897 896

896 896 895 894 894

894 893 892 892 891

X

3-350 3.351 3-352 3-353 3-354

3355 3.356 3.357 3.358 3.359

3.360 3.361 3.362 3.363 3.364

3365 3.366 3.367 3.368 3.369

3.370 3.371 3.372 3-373 3-374

3.375 3.376 3.377 3.378 3-379

3.380

3.382 3·φ 3.384

>·*2ί 3.386 3.388 3.3%

3390 3.391 3392 3.393 3-394

3.395 3396 3.397 3398 3399

Jn x

1.2089603458 | 1.2092588088 1.2095571 826 1.2098554675 1.2101536634

1.2104517704 1.2107497886 1.2110477 180 1.2113455587 1.2116433 106

1,2119409740 1.2122385487 1.2125360 350 1.2128334328 1.2131307421

1.2134279 631 1.2137250958 1.2140221402 1.2143190964 1.2146159644

1.2149127444 1.2152094363 1,2155060401 1.2158025 561 1.2160989841

1.2163953243 1.2I669I5767 1.2169877 414 1.2172838184 1.2175798 077

' 1.2178757095 1.2181715237 1.2184672^05 1.2187628898 1.2190584 417

1.2193539 064 1.2196492837 1.2199445738 1.2202397768 1.2205348926

1.2208299214 I.22II248631 1.2214197 179 1.2217144858 1.2220091668

1.2223037 610 1.2225982684 1.2228926892 1.2231870 232 1.2234812707

Δι

2984 630 2983 738 2982 849 2981 959 2981070

2980182 2979 294 2978 407 2977519 2976 634

2975 747 2974863 2973 978 2973 093 2972 210

2971 327 2970444 2969 562 2968 680 2967 800

2966 919 2966 038 2965 160 2964 280 2963 402

2962 524 2961 647 2960 770 2959 893 2959018

2958 142 2957268 2956 393 2955 519. 2954647

2953773 2952901 2952030 2951 158 2950288

2949417 2948 548 2947 679 2946 810 2945 942

2945 074 2944 208 2943 340 2942 475 2941 609

- Δ *

891 890 890 889 888

888 887 887 887 886

885 885 885 884 883

883 882 882 881 881

881 880 879 879 878

1 £77 877 in 876 876

875 875 874 ?73 873

872 872 871 871

870 869 869 868 868

867 867 866 866 865

24

Page 33: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3-400 3·4οι 3*402 3-403 3-404

3-405 3·4ο6 3·407 3·4ο8 3-409

3-410 3-411 3-412 3-413 3-4Μ

3-415 3·4ΐ6 3-417 3-418 3-419

3-420 3*421 3 4 2 2 3.423 3 4 2 4

3-425 3*426 3-427 3-428 3-429

3*430 3-431 3-432 3 4 3 3 3-434

3-436 3-437 3-438 3-439

3*440 3*441 3*442 3-443 3*444

3 4 4 5 3*446 3 4 4 7 3-448 3-449

1η χ

1.3237754 3 i 6 I 1.2240695 060 1.2243634940 1.2246573955 1.2249512107

1,2252449396 1.2255385 822 1.2258321 387 1.226125 6 090 1.2264189932

1.2267122 913 1,2270055 034 1.2272986296 1.2275916699 1.2278846244

1.2281774 93° 1.2284702759 1.2287629731 1.2290555847 1.2293481 107

1,2296405 511 1.2299329060 1.2302251 755 1.2305173595 1.2308094583

1.2311014717 1.2313933 999 1.2316852429 1.2319770007 1.2322686735

1.2325602 612 1.2328517639 1.2331431 816 1.2334345 145 1.2337257625

1.2340169257 1.2343080041 1.3345989979 1.2348899070 1.2351807 315

1.2354714714 1.2357621 268 1.2360526978 1.2363431844 1.2366335 866

1.2369239045 1.2372141381 1.2375042875 1.2377943528 1.2380843340

Δι

2940 744 2939 88ο 2939015 2938 152 2937 289

2936 426 2935 565 2934 703 2933 842 2932 981

2932 121 2931 262 2930403 2929 545 2928 686

2927 829 2926 972 2926 116 2925 26ο 2924 404

2923 549 2922 695 2921 840

2920 134

2919 282 2918 430 2917578 2916 728 2915 877

2915 027 2914 177 2913 329 2912 480 _9ΐι 632

2910 784 2909 938 2909091 2908 245 2907 399

2906554 2905 71° 2904 866 2904 022 2903 179

2902 33 6

2901 494 2900 65 3 2899 8ΐ2 2898 970

- Δ 2

864 864 864 863 863

862 862 86ι 86ι 86ο

«59 859 858 858 858

857 856 I 856 I 856 855

854 854 854 1" 853

852 852 851

$1 850

850 849 849 848 848

847 1 847

846 846 845

844 844 844 «43 843

842 841

1 841 841 840

X

3.450 3-451 3*452 3-453 3-454

3-455 3*456 3*457 3.458 3*459

3.460 3.461 3.462 3.463 3.464

3.465 3-466 3.467 3,468 3-469

3-470 3*471 3-472 3*473 3-474

3-475 3-476 3-477 3*478 3.479

3·48ο 3.481 3.482 3-483 3-484

3-485 3-486 3-487 3-488 3-489

3-490 3-491 3-492 3-493 3-494

3-495 3-496 3-497 3.498 3.499

1η χ

1.2383742310 1.2386640441 1.2389537732 1.2392434184 ; 1-2395329 797

1.2398224572 ι . 2401118 509 ι . 2404011 6θ9 ι .2406903 873 1.2409795300

1.2412685 891 1.2415575647 1.2418464568 1.2421352654 1.2424239907

ι.2427126 326 1.2430011913 1.2432896667 1.2435780589 1.2438663680

1.2441545 940 1.2444427369 1,2447307 968 ι . 2450187 73 8

ι .2453°°6 678

1.2455944 790 1.2458822074 ι.2461698 530 1.2464574159 1.2467448962

1.2470322938 1.2473196 ο88 1,2476068413 1.2478939914 1.2481810590

1.2484680442 1.2487549471 1.2490417 677 1.2493285060 1.2496151622

1.2499017362 1.2501882281 1,2504746380 1.2507609658 1.2510472117

1.2513333757 1.2516194578 1.2519054581 1.2521913766 1.2524772 134

Δ ι .

2898 131 2897 291 2896452 2895 6ΐ3 2894 775

2893 937 2893 ιοο 2892 264 2891 427 2890 591

2889756 2888 921 2888 ο86 2887253 2886 419

2885 587 2884 754 2883 922 2883 091 2882 26θ

2881 429 2880599 2879 770 2878 940 2878112

2877 284 2876456 2875 629 2874 8ο3 2873 976

2873 150 2872 325 28715οι 2870 676 2869852

2869 029 2868 206 a867 383 2866562 2865 740

2864 919 2864 099 2863 278 2862 459 2861 640

286ο 821 2860 003 2859 ι85 2858368 2857551

- Δ 2

840 5 3 9 839 838 838

837 836 836 836 «35

1* 1* *34 834 833

833 832

2»1

831 831

830 829 829 829 828

828 827 826 826 826

825 824 824 824 823

823 823 822 822 821

820 820 820 8ι9 8lQ

818 818 817 817 816

25

Page 34: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x V*

» V*

» V*

> V*

» V*

>

VA V

A V

A V

A

VA

O O

O O

Q

■UVA

» U

H

O

1 3 · 5 ο ι I 3.506

3-507 3,508 3.509

3.510 3.511 3.512 3.513 3.514

3-515 3-516 3-517 3.518 3.519

3-520 3-521 3.522 3.523 3.524

3.525 3.526 3.527 3-528 3.529

3.530 3.531 3.532 3.533 3.534

3.535 3.536 3 * 5 3 Z 3.538 3.539

3-540 3-541 3.542 3.543 3-544

3.545 3.546 3-547 3-548 3-549

In x

1.2527629685 1.25 30486 420 1.2533342339 1,2536197442 1.2539051731

1,2541905 205 1.2544757865 1.2547609712 1,2550460745 1.2553310966

1.2556160375 1.2559008972 1,2561856758 1.2564703733 1.2567549898

1.2570395253 1.2573239798 1.2576083535 1,2578926463 1,2581768583

1,2584609896 1,2587450402 1.2590290101 1,2593128994 1.2595967081

1.2598804363 1,2601640840 1,2604476513 1,2607311 381 1,2610145447

1.2612978709 1,2615811 169 1.2618642837 1,2621473684 1.2634303739

1.2637133 993 1.3639961 448 1.3632789 102 1,3635615957 1.2638443014

1.2641367 271 1,3644091 731 1.2646915 394 1.2649738359 1.3653560327

1.2655381 600 1.2658202077 1.2661021 758 1.2663840644 1.2666658737

Δχ

2856735 . 2855919

2855 103 2854289 2853474

2852660 2851 847 285 L 033 2850221 2849 409

2848 597 2847 786 2846 975 2846 165 2845 355

2844 545 1 2843 737 2842 928 2842 120 2841 313

2840 506 2839699 2838 893 2838087 2837 282

2836477 2835 673 2834 868 2834 066 2833 262

2832 460 2831658 2830857 2830055 2829 254

2828455 2827654 2826855 2826057 2825 257

3834 460 3833 663 3833 865 2822 068 2821 273

2820 477 2819681 2818886 2818093 2817298

- Δ 2

8i6 816 815 815 814

813 813 813 812 812

811 811 810 810 810

809 809 808 807 807

807 806 806 805 805 1

804 804 804 803 803

802 801 801 801 800

800 800 799 799 798

797 797 797 796 796

796 795 794 794 794

X

3.550 3.551 3-552 3.553 3.554

3 5 5 5 3.556 3.557 3.558 3.559

3.560 3.561 3.562 3.563 3.564

3,565 3.566 3.567 3.568 3-569

3.570 3.571 3.572 3.573 3-574

3.575 3.576 3.577 3.578 3-579

3.580 3-581 3.582 3.583 3.584

3 · 5 ^ 3.586 3-5f7 3.588 3.589

3-590 3.591 3.592 3.593 3.594

3-595 3.596 3.597 3.598 3.599

in x

1.2669476035 1.2672292540 1.2675108251 1.2677923 170 1.2680737297

1.2683550633 1,2686363 177 1.2689174930 1,2691985 892 1,2694796065

1.2697605449 1.2700414043 1,2703221 849 1,2706028866 1.2708835096

1.2711640 5 39 1.2714445 194 1.2717249064 1.2720052 147 1,2722854445

1,2725655958 1.2728456686 1.2731256630 1.2734055790 1,2736854 167

1.2739651 761 1,2742448573 1.2745244603 1.2748039851 1.2750834318

1.2753628004 1.275 6420 910 1.2759213036 1.2762004383 1.2764794951

1.2767584741 1.2770373752 1.2773161 986 1.2775949443 I.2778736 122

1.2781522 025 1,2784307 152 1.2787091504 1.2789875 081 1 1,2792657884

I.2795439912 1,2798221 166 I.280IOOI 647 I.2803781355 I.380656039I

Δχ

28i6 505 2815 711 2814919 2814 127 2813 336

2812544 2811 753 2810962 2810173 2809 384

2808 594 2807 806 2807017 2806 230 2805 443

2804655 2803 870 2803 083 2802 298 2801513

2800728 2799 944 3799 160 , 2798 377 2797 594

2796 812 2796 030 2795 248 2794 467 2793 686

2792 906 2792 126 2791 347 2790568 2789 790

2789011 2788 234 2787456 2786 680 2785 903

2785 127 2784352 2783577 2782 803 2782 028

2781 254 2780 481 2779 708 2778936 2778 164

- * ■

794 793 792 791 791

791 791 790 789 7 8 9

789 789 788 787 787

786 786 786 785 785

784 784 783 783 782

782 782 781 781 780

780 779 779 778 778

778 778 777 777 776

775 775 774 774 774

773 773 772 772 772

26

Page 35: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3 « 6oo 3.601 3.602 3 6 0 3 3.604

3.605 3.606 3."607 3.608 3.609

3.610 1 3.611

3.612 3.613 3.614

3.615 3,616 3.617 3.618 3.619

3.620 3.621 3. 622 3.623 3.624

3.625 3.626 3.627 3.628 3.629

3,630 3.631 3.632 3.633 3.634

3.635 3.636 3-637 3.638 3.639

3.640 3.641 3.642 3.643 3-644

3.645 3.646 3.647 3.648 3.649

In x

1.2809338455 i.2812115 847 1,2814892468 1.2817668318 1.2820443397

p i . 2823217 707 1.2825 991 248 1.2828764019 1.2831536022 1.2834307257

1.2837077723 1.2839847423 1.2842616356 1.2845384522 1.2848151 922

1.2850918556 1.2853684425 1.2856449530 1.285 9213 870 1.2861977446

1.2864740258 1.2867502308 1.2870263 595 1,2873024 119 1.2875783882

1.2878542883 1.2881301 123 1.2884058603 1.2886815 323 1.2889571 282

1.2892326483 1.2895080924 1,2897834607 1.2900587532 1.2903339700

1.2906091 110 1.2908841 763 1.2911591 660 1,2914340801 1,2917089 186

1.2919836 816 1.2922583 692 1.2925329813 1.2928075 180 1.2930819 791

1.2933563655 1.2936306763 1.2939049 118 1.2941790 722 1.2944531 575

A l

2777 392 2776 621 2775 850 2775 079 2774310

2773 541 2772 771 2772003 2771 235 2770 466

2769 700 2768933 2768 166 2767 400 2766 634

2765 869 2765 105 2764 340 2763576 2762 812

2762050 2761 287 2760524 2759 763 2759001

2758240 2757480 2756720 2755 959 2755 201

2754441 2753683 2752925 2752 168 2751410

2750653 2749 897 2749 Mi 2748 385 2747 630

2746 876 2746121 2745 367 2744 614 2743 861

2743 108 2742 355 2741 604 2740853 2740 101

- Δ 2

771 771 771 770 769

769 769 768 768 767

7 6 7 767 766 766 765

764 764 764 764 763

763 763 762 762 761

760 760 760 759 759

759 758 757 757 757

756 756 756 755 754

754 754 753 753 753

753 752 751 751 751

X

3.650 3.651 3.652 3.653 3 6 5 4

3.655 3.656 3.657 3.658 3.659

3.660 3.661 3.662 3.663 3.664

3-665 3.666 3.667 3.668 3.669

3.670 3.671 3.672 3-673 3.674

3.675 3.676 3.677 3.678 3.679

3.680 3.681 3.682 3.683 3.684

3.685 3.686 3.687 3.688 3.689

3.690 3-691 3.692 3.693 3-694

3-696 3.697 3.698 3.699

In x

1.2947271676 1.2950011027

| 1.2952749627 1.2955487478 1.2958224 580

1.2960960932 1.2963696536 1.2966431 392 1.2969165 500 1.2971898 860

1.2974631474 1.2977363341 1.2980094463 1.2982824838 1.2985554468

1.2988283 353 1.2991011 494 1.2993738 891 i.2996465 544 1.2999191454

1.3001916621 1.3004641 045 1.3007364 728 1.3010087 668 1.3012809 868

1.3015531 327 1.3018252045 ! 1.3020972023 1.3023691 262 1.3026409761

1.3029127 522 1.3031844544 1.3034560828 1.3037276375 1.3039991 184

1.3042705 256 1.3045418592 1.3048131 193 1.3050843057 I -3053554i86

1.3056264581 1.3058974240 1.3061683 166 1.3064391 359 1.3067098818

1.3069805 544 1.3072511 538 1.3075216800 1.3077921 330 1.3080625 129

A l

2739 35J 2738 600 27378^1 2737 102 2736 3<2

2735 604 2734856 2734 IO8 2733 36Ο 2732614

2731867 273I 122 273Ο 375 2729 63Ο 2728 885

2728 141 2727 397 2726653 2725 9IO 2725 167

2724 424 2723 683 2722 94Ο 2722 200 272I 459

2720718 2719 978 2719 239 2718 499 2717 761

2717022 2716 284 2715547 2714 809 2714072

2713336 2712 601 2711 864 2711 129 2710395

2709 659 2708 926 2708 193 2707 459 2706 726

2705994 2705 262 2704530 2703 799 2703 068

- Δ 2

751 750 749 749 749

748 748 748 747 747

746 746 746 745 744

744 744 743 743 743

742 742 741 741 741

740 739 739 739 739

738 737 737 737 736

736 736 735 735

734 733 733 733 732

732 732 731 731 73*

21

Page 36: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3 - 7 0 0 3-701 3 . 7 0 2 3 -703 3 - 7 0 4

3-705 3 -706 3 -707 3 -708 3 -709

3 - 7 1 0 ! 3 -711

3 - 7 1 2 3 -713 3-7M

3-715 3 -716 3 -717 3 - 7 1 8 3 -719

3 -720 3-721 3 -722 3-723 3 7 2 4

3-725 3 -726 3 -727 3 -728 3 -729

3 - 7 3 0 3-731 3 7 3 2 3-733 3 7 3 4

3-735 3-736 3-737 3-738 3 7 3 9

3-740 3-741 3 -742 3 7 4 3 3 -744

3-745 3 -746 3 - 7 4 7 3 748 3 7 4 9

In x

1 .3083328 197 1 . 3 0 8 6 0 3 0 5 3 4 7 .3088732 142 1 . 3 0 9 1 4 3 3 0 1 9 i . 3094133 168

1 .3096832 587 1 . 3 0 9 9 5 3 1 2 7 9 1 .3102229 242 1 . 3 1 0 4 9 2 6 4 7 7 1 .3107622 985

1 .3110318 766 1 . 3 I I 3 0 1 3 821 1 . 3 I I 5 7 0 8 149 I . 3 1 I 8 4 0 I 752 1 .3121094 629

1 . 3 1 2 3 7 8 6 7 8 2 1 . 3 1 2 6 4 7 8 2 1 0 1 . 3 1 2 9 1 6 8 9 1 3 1 . 3 1 3 1 8 5 8 8 9 3 1 .3134548 149

1 . 3 1 3 7 2 3 6 6 8 3 1 .3139924 494 I . 3 I 4 2 6 I I 582 1 , 3 1 4 5 2 9 7 9 4 9 1 . 3 1 4 7 9 8 3 5 9 4

1 . 3 1 5 0 6 6 8 5 1 8 1 , 3 1 5 3 3 5 2 7 2 2 1 . 3 1 5 6 0 3 6 2 0 5 T .3158718 968 I .31614OI 012

I . 3 1 6 4 0 8 2 3 3 7 i . 3166762 942 1 . 3 1 6 9 4 4 2 8 3 0 1 .3172121 999 1 .3174800 451

1 .3177478 186 1 .3180155 204 1 . 3 1 8 2 8 3 1 5 0 5 1 . 3 1 8 5 5 0 7 0 9 0 1 .3188181 960

1 .3190856 114 1 . 3 1 9 3 5 2 9 5 5 4 1 .3196202 279 1 . 3 1 9 8 8 7 4 2 8 9 1 .3201545 586

1 . 3 2 0 4 2 1 6 1 7 0 1 . 3 2 0 6 8 8 6 0 4 0 1.3209555 198 1 . 3 2 1 2 2 2 3 6 4 4 1 , 3 2 1 4 8 9 1 3 7 8

J

Δ 1

2702 337 2701 6o8 2700 877 2700 149 2 6 9 9 4 1 9

2698 692 2 6 9 7 9 6 3 2 6 9 7 2 3 5 2696 508 2695 781

2 6 9 5 0 5 5 2694 328 2693 603 2692 877 2 6 9 2 1 5 3

2691 428 2690 703 2689 980 2 6 8 9 2 5 6 2 6 8 8 5 3 4

2687 811 2687 088 2686 367 2685 645 2684 924

2684 204 2683 483 2682 763 2682 044 2681 325

2680 605 2679 888 2679 169 2 6 7 8 4 5 2 2 6 7 7 7 3 5

2 6 7 7 0 1 8 2676 301 2675 585 2674 870 2 6 7 4 1 5 4

2673 440 2672 725 2 6 7 2 0 1 0 2671 297 2670 584

2669 870 2669 158 2668 446 2667 734 2667 022

- Δ 2

730 730 730 729 729

728 728 727 727 726

726 726 726 725 725

725 724 724 723 723

723

722 721 720

720 720 719 719 719

7 i 8 718 718 717 717

717 716 716 715 715

715 714 713 713 713

712 712 712 711 711

X

3 . 7 5 0 3 .751 3 . 7 5 2 3-753 3 . 7 5 4

3.755 3·756 3-757 3.758 3-759

3 . 7 6 0 3 . 7 6 1 3 . 7 6 2 3 . 7 6 3 3 · 7 6 4

3 ·765 3 . 7 6 6 3 . 7 6 7 3 . 7 6 8 3 . 7 6 9

3 . 7 7 0 3 . 7 7 1 3 . 7 7 2 3 . 7 7 3 3 -774

3-775 3 . 7 7 6 3 -777 3 -778 3 - 7 7 9

3 . 7 8 0 3 . 7 8 1 3 . 7 8 2 3 . 7 8 3 3 . 7 8 4

3-785 3 . 7 8 6 3 . 7 8 7 3 . 7 8 8 3 . 7 8 9

3 . 7 9 0 3 - 7 9 1

3 . 7 9 2 3 . 7 9 3 3 7 9 4

3 7 9 5 3 . 7 9 6 3 -797 3 . 7 9 8 3 -799

In x

1 .3217558 400 1 .3220224 711 1 .3222890 311 1 .3225555 202 1 .3228219 382

1 . 3 2 3 0 8 8 2 8 5 2 1 . 3 2 3 3 5 4 5 6 1 3 1 . 3 2 3 6 2 0 7 6 6 6 1 . 3 2 3 8 8 6 9 0 1 0 1 .3241529 646

1 .3244189 574 1 . 3 2 4 6 8 4 8 7 9 5 1 . 3 2 4 9 5 0 7 3 0 9 1 .3252165 116 1 .3254822 217

1 .3257478 613 1 .3260134 302 1 . 5 2 6 2 7 8 9 2 8 7 1 . 3 2 6 5 4 4 3 5 6 7 1 .3268097 143

1 . 3 2 7 0 7 5 0 0 1 5 1 .3273402 183 1 .3276053 648 1 , 3 2 7 8 7 0 4 4 1 0 1 . 3 2 8 1 3 5 4 4 6 9

1 .3284003 827 1 . 3 2 8 6 6 5 2 4 8 3 1 . 3 2 8 9 3 0 0 4 3 7 1 .3291947 691 1 . 3 2 9 4 5 9 4 2 4 4

1 ,3297240 096 1 . 3 2 9 9 8 8 5 2 4 9 1 .3302529 702 1 . 3 3 0 5 1 7 3 4 5 7 1 . 3 3 0 7 8 1 6 5 1 2

I . 3 3 T 0 4 5 8 8 6 9 1 .3313100 528 1 .3315741 489 1 .3318381 753 1 .3321021 320

1 .3323660 191 1 . 3 3 2 6 2 9 8 5 6 5 1 . 3 3 2 8 9 3 5 8 4 4 1 . 3 3 3 1 5 7 2 6 2 7 1 .3334208 715

1 .3336844 108 1 . 3 3 3 9 4 7 8 8 0 7 1 . 3 3 4 2 1 1 2 8 1 2 1 .3344746 124 1 . 3 3 4 7 3 7 8 7 4 2

Δ ΐ

2666 311 2665 eoo 2 6 6 4 8 9 1 2664 180 2663 470

2662 761 2 6 6 2 0 5 3 2661 544 2660 636 2 6 5 9 9 2 8

2 6 5 9 2 2 1 2 6 5 8 5 1 4 2 6 5 7 8 0 7 2657 ι ο ι 2 6 5 6 3 9 6

2655 689 2 6 5 4 9 8 5 2654 280 2653 576 2652 872

2652 168 2651 465 2650 762 2 6 5 0 0 5 9 2649 3 5 8

2 6 4 8 6 5 6 2 6 4 7 9 5 4 2647 254 2 6 4 6 5 5 3 2645 852

2645 153 2 6 4 4 4 5 3 2 6 4 3 7 5 5 2 6 4 3 0 5 5 2642 357

2641 659 2640 961 2640 264 2639 567 2638 871

2638 174 2 6 3 7 4 7 9 2636 783 2636 088 2635 393

2634 699 2634 005 2633 312 2 6 3 2 6 1 8 2 6 3 1 9 2 5

- Δ 2

710 1 710 1 710 1 709 709

709 7θ8 708 707 707

707 706 1 706 1 706 705

705 704 704 704 703

703 703 702 702 702

701 701 701 700 700

699 699 699 698 698

697 697 696 696 696

69e 695 695 694 694

693 695 693 692 692

28

Page 37: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3·8οο 3·8οι 3.802 3.803 3 · 8 ° 4

3.805 3·8ο6 3.807 3·8ο8 3.809

3 ·8 ιο 3 .8 ι ι 3·8ΐ2 3.813 3«8ΐ4

3.815 3 ·8ι6 3.817 3 ·8ι8 3.819

3.820 5.821 3.822 5.823 3.824

3-825 3-826 3-827 3-828 3-829

3 · 8 30 3-83ι 3 · 8 32 3-833 3-834

3-835 3.836 3-837 3,838 3-839

3· 840 3.841 3*842 3-843 3-844

3-845 3.846 3-847 3.848 3-849

1η χ

ι . 3 3 5 0 0 1 ° 6 6 7 1.3352641 9 0 0

1.3355272441 1.3357902289 ι.3360531 447

ι.3363159913 1.3365787689 1.3368414774 1.3371041 ι69 1.3373666875

1.3376291 891 ι . 3378916 219 ι . 3381539858 ι . 3384162809 1.3386785 072

1.3389406647 1.3392027536 1.3394647738 1.3397267253 1.3399886082

1.3402504226 ι.3405121 685 1.3407738458 ι.3410354 547 1,3412969952

1.3415584673 1.3418198710 1.3420812064 1,3423424756 1.3426036 725

1.3428648032 1.3431258657 1.3433868 6οι τ. 3436477 864 ι.3439°86 446

1.3441694348 1.3444301570 1.3446908 II3 1-3449513 976 1.3452119 ι6ο

1.3454723666 1.3457327 494 1.3459930643 1.3462533 " 6 M465134911

1.3467736030 1.3470336472 1.3472936238 ϊ-3475535 328 ΐ- 3478133 743

Δχ

2631 233 2630 541 2629 848 2629158 2628 466

2627 776 2627085 2626 395 2625 7°6 2625 οι6

2624 328 2623 639 2622951 2622 263 2621575

2Ó20 889 2Ó20 202 2619515 2618829 26ι8 144

2617459 2616773 2616089 2615 405 2614 721

2614037 2613 354 2ÓI2 672 26 ιτ 989 26ιι 307

2610625 2609 944 2609 263 26ο8 582 2607 902

2607 222 26ο6 543 2605 863 2605 ι84 2604 5ο6

2603 828 2603 149 26θ2 473 26οι 795 26οι 119

26οο 442 2599 766 2599 090 2598415 2597 740

- Δ 2

692 692 691 691 691

69° 690 690 689 689

688 688 688 687 687

687 686 685 685 685

685 684 684 684 683

682 682 682 682 68ι

681 68ι 68ο 68ο 679

679 679

! 678 ί 678

678

67S 678 677 677 676

676 675 675 675 674

X

3-850 3-851 3-852 3-853 3-854

3-855 3-856 4-857 3-858 3-859

3.86ο 3.86ι 3.862 3-863 3-864

3-865 3.866 3-867 3.868 3.869

3-8/0 3-"87ΐ 3-872 3-873 3-874

3-875 3-876 3 · 8 77 3-878 3-879

3-880 3-88ι 3-882

1 3-883 3-884

3-885 3-886 3-88 7 3-888 3-889

3.890 3-891 3-δ92 3-893 3-894

3 * ο 9 Σ 3-896 3-897 3.898 3-899

r

In x

i . 3480731 483 ι . 3483328 548 1.3485924939 1.3488520656 1 .'3491115 700

1.3493710070 1.3496303767 1.3498896792 ι . 3 501489 145 T. 5 504080 826

ι.3506671 835 1.3509262 173 1.3511851 840 ι.3514440 837 1.3517029 164

I .35I96I6820 1.3522203 808 1.3524790 126 1.3527375776 1.3529960757

1.3532545070 1.3535128 716 1.3537711 694 1.3540294005 1.3542875650

1.3545456628 1.3548036940 1.3550616 587 1.3553195568 1.3555773885

1.3558351536 1.3560928 524 1.3563504847 1.3566080507 1.3568655504

1.3571229 838 1-3573803510 1.3576376 519 1.3578948866 1.3581520552

1.3584091 576 1.3 5 86661 940 1.3589231643 1.3 591800 686 T. 3594369 070

1.3596936793 1.3599503858 1.3602070264 1.3604636 ot 1 1,3607201 100

Δ ΐ

2597065 2596391 2595717 2595044 2594 370

2593697 2593 025 ^592 353 2591 68i 2591 009

2590338 2589667 2588997 2588327 2587656

2586988 2586318 2585 650 2584981 2584313

2583 646 2582978 2582 311 2581 645 2580978

2580312 2579647 2578981 2578317 2577651

2576988 2576323 2575 660

. 2574997 2574334

2573672 2573009 2572347 2571 686 2571024

2570 364 2569 703 2569043 2568 384 3567 723

2567065 2566406 2565 747 2565 089 2564431

- Δ 2

674 673 673 673 672

672 672 672 671 671

6 70 670 670 670 669

669 669 668 667 667

66'y 666 666 666 66$

665 665 665 664 664

664 663 663 662 662

662 ί 66ι

661 661 661

660 66ô 660 659 659

659 658 658 657 657

29

Page 38: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

3-900 3-901 3-902 3-903 3-904

3-905 3.906 3-907 3-908 3-909

3.910 3.911 3-912 3.913 3-9M

3-915 3 ·9* 6

3-917 3-9^8 3-919

3-920 3-921 3-922 3-923 3-924

3-925 3-926 3-927 3-928 3-929

3-930 3-931 3-932 3-933 3-934

3-935 3 ·95 6

3-937 3-93 8

3 9 3 9

3-940 3-941 3-942 3-943 3 9 4 4

3-945 3-946 3-947 3-948 3 9 4 9

1η χ

1.3609765531 ι . 3612329305 1.3614892422 ι . 3617454 882 ι .3620016686

1.3622577833 1.3625138 325 1.3627698 ι6ι τ.3630257 342 1.3632815868

1.3635373740 1.3637930958 1.3640487522 1.3643043432 1.3645598690

1.3648153294 1.3650707247 1.3653260547 ι.3655813 195 1.3658365 192

1.3660916538 1.3663467233 ι . 3666017 278 1.3668566672 1.3671115 417

1.3673663 512 1.3676210959 1.3678757756 ι . 3681303905 1.3683849406

1.3686394259 1.3688938464 τ. 3691482 023

| 1.3694024934 1.3696567200

1.3699108819 1.3701649792 Ι.3704Ι90 I 2 0

Ι.3706729802 Ι.370926884Ο

I.3711807233 I.3714344982 1.37*6882 087 I.3719418549 I.3721954367

Ι.3724489543 Ι.3727Ο24076 Ι.3729557967 Ι .37320912ΐ6 Ι.3734623823

Δι

2563 774 2563 117 2562460 2561 8θ4 2561 ΐ47

2560492 2559 836 2559 ι8ι 2558526 2557 872

2557218 2556564 2555 910 2555258 2554 604

2553 953 2553 3°° 2552648 2551997 2551346

2550695 2550 045 2549 394 2548 745 2548095

2547 447 2546 797 2546 149 2545 501 2544853

2544 205 2543 559 2542 9II 2542 266 2541 6ΐ9

2540973 2540328 2539682 2539038 2538393

2537 749 2537 105 2536462 2535818 2535 176

2534 533 2533891 2533249 2532607 2531966

- Δ 2

657 6 5 6

656 656 656

655 655 654 654 ! 654

654 653

653 652

652 651 651 651 650

650 650 650 649

! 649

649 648 648 648 647

647 647 646 646 645

645 645 645 644 644

643 643 643 643 642

642 642 641 641 641

X

3-950 3 951 3-952 3-953 3-954

3-955 3-956 3-957 3-958 3-959

3.960 3.961 3.962 3.963 3 ·9 6 4

3.965 3.966 3.967 3-968 3.969

3-970 3-971 3-972 3-973 3-974

3-975 3-976 3-977 3.978 3-979

3-980 3-981 3 · 9 8 2

3-985 3-984

5-985 3-986 3-987 5-988 3-989

3-99° 5-991 3-992 3-995 5-994

5-995 3 ·99 6

5-997 5-998

5-999

1η χ

1-5757155789 1.5759687114 ι.5742217 799 1.3744747843 1.5747277247

1.3749806012 1.3752354158 1.3754861 624 1-5757588 472 ι.5759914681

1.5762440255 1.3764965 ι86 1.3767489483 1.3770013 χ42 1.3772536 L65

1.3775058551 1.3777580501 1,3780101 415 1.3782621 894 1.5785141758

1.5787660947 1.5790179521 1.3792697462 1.3795214768 1.3797751441

1.3800247 481 1.3802762888 1.3805277662 1.3807791804 1.3810305 314

1.3812818 193 1.3815350440 1.3817842056 1.3820355042 1.3822863 397

| 1.3825375 122 1.3827882218 1.3830590684 1.3832898521 ι.3835405 729

1.3837912309 ι . 3840418261 1.3842923584 1.3845428281 1.5847952550

1.3850435792 1.3852938608 1.3855440797 1.3857942 361 1.5860445299

Δ ΐ

2551525 2530685 2530044 2529404 2528 765

2528 126 2527 486 2526 848 2526 209 2525 572

2524933 2524 297 2523659 2523023 2522 386

2521 750 2521 114 2520479 2519844 2519209

2518574 2517941 2517306 2516675 2516040

2515407 2514 774 2514142 2515510 2512879

2512247 25116ι6 2510986 2510555 2509 725

2509 096 2508466 2507857 2507208 2506 580

2505 952 2505 525 2504697 2504 069 2503442

2502 8ι6 2502 189 250Ι 564 2500938 2500312

- Δ 2

64ΐ 640 639 639 639

639 639 638 638 638

638 637 637 636 636

655 655 655

>655 654

654 634 633 655 655

632 632 631 631 631

630 630 630 629

! 629

629 629 628 628 628

628 627 627 626 626

626 626 626 625 625

30

Page 39: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4.000 4.001 4-002 4.003 4.004

4.005 4.oo6 4.007 4.οο8 4.009

4.010 4.on

1 4.012 4 0 1 3 4 0 1 4

4 0 1 5 1 4.016

4.017 4.018 4.019

I 4.020 1 4.021 1 4.022

4.023 I 4.024

4.025 4.026 4.027 4.028 4.029

4.030 4.031 4.032 4.033 4.034

4.035 4.036 4.037 4.038 4.039

4.040 4.041 4.042 4.043 4.044

4.045 4.046 4.047 4.048 4.049

In x

1.3862943 611 1.3865443299 1.3867942362 1.3870440800 1.3872938615

1.3875435 8ο5, 1.3877932372 1.3880428 317 1,3882923 638 1.3885418337

ι . 3887912 413 1,3890405868 ι . 3892898 701 1.3895390913 1.3897882504

1.3900373474 1,3902863824 1.3905353554 1.3907842 664 1.3910331155

1,3912819026 i . 3915 306 279 1.3917792 914 1.3920278930 1.3922764 328

1.3925249 109 1.3927733272 1.3930216819 1.3932699749 1,3935182062

1.3937663760 1.3940144 841 1.3942625 308 1.3945105 159 1.3947584395

1.3950063 017 1.3952541025 1.3955018419 1.3957495199 1.3959971366

1.3962446920 1.3964921 861 1,3967396190 1,3969869907 1.3972343012

1.3974815505 1.3977287387 1.3979758659 1.3982229320 1.3984699 371

Δ 1

2499 688 2499 063 2498438 2497815 2497 19°

2496 567 2495 945 2495 321 2494 699 2494 076

2493 455 2492833 2492 212 2491 591 2490 970

2490 350 2489 730 2489 n o 2488491 2487 871

2487253 2486635 2486 016 2485 398 2484 781

2484163 2483 547 2482 930 2482313 2481698

2481081 1 2480 467

2479851 2479 236 2478 622

2478 008 2477 394 2476 780 2476 167 2475 554

2474 941 2474 329 2473 717 2473105 2472 493

2471 882 2471 272 2470661 2470 051 2469 440

- Δ 2

625 624 624 624 623

623 623 623 622 622

621 621 621 620 620

620 6 i9 619 619 618

618 618 617 617 617

617 617

1 616 616 616

615 615 614 614 614

614 613

613 612

612 612 612 611 611

611 611 6 n 610 609

X

4.050 4.051 4.052 4.053 4.054 1

4.055 4.056 4.057 4.058 4.059

4,060 4.061 4.062 4.063 4.064

4.065 i 4.066 4.067 4.068 4.069

4.070 4.071 4,072 4.073 4.074

4.075 4.076 4.077 4.078 4.079

4.080 4.081 4.082 4.083 4.084

4.085 4.086 4.087 4.088 4.089

4.09c 4.091 4.092 4.093 4.094

4.095 4.096 4.097 4.098 4.099

In x

1.3987168 811 1.3989637642 1.3992105 864 1-3994573476 1.3997040480

1.3999506876 1.4001972 663 1.4004437842 1.4006902 414 1.4009366 379

1.4011829 736 1.4014292487 1.4016754632 1.4019216 170 1.4021677 103

1.4024137 430 1.4026597152 1,4029056269 1.4031514 782 1.4033972690

1.4036429995 1.4038886695 1,4041342792 1.4043798287 1.4046253 178

1.4048707467 1.4051161 154 1.4053614238 1.4056066 722 1.4058518 603

1.4060969884 1.4063420564 1,4065870644 1.4068320123 I . Αηηηηβθ 003

i.4073217 283 I.4075664964 1.4078112 046 I.4080558529 1,4083004 4I4

I.40854497OI I.4087894389 I.409O338481 I.4092781975 I.4095224872

I.4097667 173 1,4100108 877 i . 4102549 986 1,4104990498 1.4107430 415

Δ»

2468831 2468 222 2467612 2467 004 2466 396

2465 787 2465 179 2464572 2463 965 2463357

2462 751 2462 145 2461538 2460933 2460 327

2459 722 2459117 2458513 2457908 2457305

2456 700 2456097 2455495 2454 891 2454 289

2453687 2453084 2452484 2451881 2451 281

2450680 2450 080 2449 479 2448 880 244S 280

2447681 2447082 2446 483 2445 885 2445 287

2444 688 2444 092 2443 494 2442 897 2442 301

2441 704 2441 109 2440512 2439917 2439 322

- Δ 2

6θ9609608 608 608

607607607607606

606 606 606 605 605

604 604 604 604 604

603 603 603 602 602

602 602 602 601 601

601 600 600 599 599

599 598 598 598 598

597 597 596 596 596

596 596 595 595 594 :

31

Page 40: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4.100 4 . I0 I 4.102 4.103 4.104

4-105 4 . ι ο 6 4.107 4.108 4.109

4.no 4 . i n 4.112 4.113 4.114

4.115 4.116 4.117 4.118 4.119

4.120 4.121 5.I22 4 . I23 4 . I24

4.125 4.125 4.127 4.128 4.129

4.130 4.131 4.132 4.133 4.134

4.135 4.135 4.137 4.138 4.139

4.140 4.141 4.142 4.143 4.144

4.145 4.146 4.147 4.148 4.149

In x

1.4109869 737 1.4112308464 1.4114746597 1.4117184 135 1.4119621 079

1.4122057 429 1.4124493 i85 1.4126928 350 1.4129362 921 1.4131796 899

1.4134230285 1.4136663 079 1.4139095 282 1.4141526892 1.4143957912

1,4146388 341 1.4148818 180 I .4I5I247428 1,4153676086 1.4156104 155

I .4I5853I634 1.4160958 524 1.4163384825 1,4165810537 1.4168235 662

1.4170660 198 1,4173084 146 1.4175507 508 i.4177930 282 1,4180352 469

1.4182774070 1.4I85I95 084 i.4187615 513 1.4190035355 1.41924^4613

1.4194873 285 1.4197291 372 1.4199708875 1.4202125 793 1.4204542 128

1.4206957878 1.4209373 046 1.4211787630 1,4214201 631 1.4216615 050

1.4219027 886 1.4221440 140 1.4223851 813 1,4226262 904 1.4228673 414

Δχ

2438 727 2438133 2437 5 3 s

2436 944 2436 350

2435 757 2435 164 2434571 2433 978 2433 386

2432 794 2432203 2431 610 2431 020 2430429

2429 839 2429 248 2428658 2428 069 2427 479

2426 890 2426 301 2425 712 2425 125 2424536

2423 948 2423 362 2422 774 2422 187 2421 601

2421 014 2420429 2419 842 2419 258 2418672

2418087 2417503 2416918 2416335 2415 750

2415 168 2414584 2414 001 2413419 2412836

2412 254 2411 673 2411 091 2410510 2409 928

- Δ 2

594 594 594 593 593

593 593 592 592

592

592 591 591 590 590

590 589 589 5 8 9 589

589 588 588 588 587

587 587 586 586 586

586 585 585 585 584

584 584 584 583 583

583 582 582 582 581

581 581 581 580 580

X

4.150 4.151 4.152 4.153 4.154

4.155 4.156 4.157 4.158 4.159

4.160 4.161 4.162 4.163 4.164

4.165 4.166 4.167 4.168 4.169

4.170 4.171 4.172 4.173 4.174

4.175 4.176 4.177 4.178 4.179

4.180 4.181 4.182 4.183 4.184

4-185 4.186 4.187 4.188 4.189

4.190 4.191 4.192 4 , i93 4.194

4.195 4.196 4.197 4.198 4.199

In x

1.4231083 342 1.4233492 691 1.4235901459 1.4238309646 1.4240717 255

1.4243124 283 1.4245530732 1.4247936603 1.4250341 894 1,4252746 608

1.4255150743 1.4257554300 1.4259957280 1.4262359682 i.4264761 508

1.4267162 756 1.4269563 428 1.4271963 524 1.4274363045 1.4276761 989

1,4279160358 1.4281558 152 1.4283955 371 1.4286352016 1.4288748087

1.4291143 583 1.4293538506 1.4295932855 1.4298326 631 1.4300719835

1.4303112465 1.4305504524 1.4307896 010 1.4310286 925 1.4312677268

1.4315067 039 1.4317456 240 1.4319844870 1.4322232930 1.4324620420

1.4327007339 1.4329393 689 1.4331779470 1.4334164682 1-4336549325

1-4338933399 I .434I3I6905 1.4343699844 1.4346082214 1.4348464 017

Δ 1

2409 349 2408 768 2408 187 2407 609

. 2407028

2406 449 2405 871 2405 291 2404 714 2404 135

2403557 2402 980 2402 402 2401 826 2401 248

2400672 2400 096 2399 521 2398 944 2398369

2397 794 2397219 2396645 2396071 2395 496

2394 923 2394 349 2393 776 2393 204 2392 630

2392 059 2391 486 2390915 23ÇO 343 2389 771

2389 201 2388 630 2388060 2387490 2386 919

2386 350 2385 781 2385 212 2384643 2384 074

2^83 506 2382939 2382 370 2381 803 2381 236

- Δ 2

58o 580 580 580 579

579 578 578 578 577

577 577 577 577 576

576 576 576 575 575

574 574 574 574 574

573 573 573 573 572

572 572 572 571 571

570 570 570 570 569

569 569 569 568 568

568 568 567 567 567

32

Page 41: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

4.200 4.201

4-202 4 2 0 3 4.204

4 20$ 4.206 4.207 4.208 4.209

4.210 4.211 4.212 4.213 4.214

4.215 4.216 4.217 4.218 4.219

4.220 4.221 4.222 1.223 4.224

4.22$ 4.226 4.227 4.228 4.229

4.230 4.231 4.232 4.233 4.234

4.23$ 4.236 4.237 4.238 4.239

4.240 4-241 4.242 4.243 4.244

4.24$ 4.246 4.247 4.248 4.249

In x

1.4350845 2$3 1.4353225922 1.4355606024 1-4357985560 1.4360364530

1.4362742 934 i .4365*20 773 1.4367498046 1.4369874754 1.4372250898

1.4374626477 1.43 77001 492 1.4379375943 1.4381749830 1.4384123 154

1.4386495915 I.4388868 112 i.4391239 748 I .43936l0 821 i.4395981 331

I.439835I 280 1.4400720 668 1.4403089494 1.4405457760 1.4407825464

1.4410192 608 1.4412559 192 1.4414925 216 1.4417290680 1.4419655585

1,4422019931 1.4424383 717 1.4426746946. T.4429109 61^ 1.443147* 727

t. 4433833 281 1.4436194 277 1.4438554 716 1.4440914 598 1.4443273924

1.4445632692 1.444799090$ 1,4450348 $6i 1.4452705 662 1.4455062 208

1,4457418198 i.44$9773 633 1.4462128 513 1 1.4464482839 1,4466836611

Δ ΐ

2380669 ̂ 2380 102 ' 2379 536 2378970 2378404

2377839 2377273 2376 708 2376 144 2375 579

2375015 2374451 2373 887 2373 324 2372 761

2372 197 2371 636 2371 073 2370510 2369 949

2369 388 230J8 826 2368 266 2367 704 2367 144

2366584 2366 024 2365 464 2364 905 2364 346

2363 786 2363 229 2362 669 2362 112 2361554

2360996 2360439 2359882 2359 326 2358768

2358213 2357656 2357101 2356546 23$$ 990

2355 435 2354880 2354326 2353 772 2353 218

- Δ 2

566 $66 566 565 565

565 564 564 564 564

564 563 563 563 )62

562 563 562 561 561

561 561 561 560 560

560 559 559 559 558

558 $$8 558 $$8 $$7

$$7 $$7 557 557 556

556 555 $$$ 555 555

554 | 554 1 554 553 553

X

4-2$0 4·2$1 4·2$2 4.2$3 4.254

4.255 4.256 4.257 4.258 4.259

4 · 260 4.261 4.262 4.263 4.264

4.265 4.266 4.267 4.268 4.269

4.270 4.271 4.272 4.273 4.274

4.275 4.276 4.277 4.278 4.279

4.280 4.281 4.282 4.283 4.284

4.285 4.286 4.287 4.288 4.289

4.290 4.291 4.292 4.293 4.294

4.295 4.296 4.297 4.298 4.299

In x

1.4469189829 1.4471542494 1.4473894605 1.4476246 163 1.4478597 l 6 8

1.4480947620 1.4483297520 1.4485646868 1.4487995665 1.4490343909

1,4492691603 1.4495038745 1-4497385337 1.4499731 378 1,4502076869

1.4504421809 1.4506766200 1.4509110 042 i . 4 $ n 4 $ 3 334 1.4$ 13796 078

1.4516138 272 1.4518479 9*9 1.4520821017 1.4523161 567 1.4525501569

1.4527841024 1.4530179 932 1.4532518292 1.4534856107 1-4537193374

1.45 39$ 30 096 1.4541866272 1.4544201 902 1.4546536986 1.4548871 526

1.455120$ 520 1.4553538971 1.4555871876 1.4558204238 1.4560536055

1.4562867 329 1.4565198060 1.4567528248 1.4569857892 1.4572186 995

1.4574515554 i .4576843 572 1.4579171 048 1.4581497982 1.4583824375

Δ,

2352665 2352 i n 2351558 2351005 2350452

2349 900 2349 348 2348 797 2348 244 2347694

2347 142 2346 592 2346041 2345 491 2344 940

2344391 2343 842 2343 292 2342 744 2342 194

2341 647 2341 098 2340550 2340002 2339 455

2338908 2338360 2337815 2337267 2336 722

2336 176 2335630 2335 084 2334540 2333 994

2333451 2332905 2332362 2331817 2331274

2330731 2330 188 2329 644 2329 103 2328559

2328018 2327476 2326934 2326 393 2325 852

- Δ 2

553 553 553 553 552

552 552 552 551 551

551 551 550 550 550

549 549 549 549 548

548 548 548 547 547

547 547 547 546 546

546 546 545 545 545

544 544 544 544 543

543 543 543 542 542

542 542 541 541 541

33

Page 42: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4-300 4-301 4-302 4-303 4-304

4-305 4 · 3 ° 6

4.307 4·3θ8 4-309

4 - 3 1 0

4.311 4-312 4-313 4.314

4-315 4 ·3ΐ6 4-3^7 4 ·3ΐ8 4.319 |

4-320 4-321 4.322 4.323 4-324

4-325 4-326 4-327 4-328 4-329

4-350 4.331 4.332 4-333 4.334

4.335 4-336 4-337 4.338 4-339

4-340 4.341 4-342 4-343 4-344

4-345 4-346 4-347 4-348 4.349

1η χ

ι.4586150 227 1.45884755381 1.4590800308 1.4593124 539 1.4595448229

1.4597771 379 1.4600093 989 1.4602416 ο6ι 1,4604737 593 1.4607058586

1.4609379041 ι.4611698958 1.4614018336 ι.4616337 177 1.4618655480

1.4620973245 1.4623290474 1.4625607 ι66 1.4627923 3 2 1

1.4630238 940

1,4632554023 1.4634868569 1,46371825^1 1.4639496057 1.4641808998

1.4644121 4ο4 1.4646433275 1.4648744612 1.4651055 4ΐ5 ΐ-4653365 685

1.4655675420 1.4657984622 1.4660293 291 1.4662601 428 1.4664909031

Ι.4667216 102 1.4669522641 ι.4671828 649 1.4674134124 1.4676439068

1.4678743 48ι ι.4681047363 1.4683350715

1 1.4685653536 1.4687955826

1.4690257587 1,4692558 8ι8 1.4694859520 1.4697159 693 1.4699459336

Δ ΐ

2325311 2324770 2324231 2323 690 2323 150

2322610 2322072 232153 2

2320 993 2320 455

2319917 2319378 2318841 2318 303 2317765

2317229 2316692 2316155 2315 6ΐ9 2315083

2314546 3314 012 2313476 2312 94ΐ 2312406

2311871 2311337 2310803 2310270 2309 735

2309 202 2308 669 2308 137 2307 6ο3 2307071

2306 539 2306 οο8 2305 475 2304 944 2304413

2303 882 2303 352 2302 821 2302 290 2301 7^ι

2301 231 2300 7C2 2300 173 2299 643 2299 ιΐ5

- Δ 2

541 540 540 540 540

539 539

538

538 537

537 537 53 6

536 536

536 535 535 535 535 ]

534 534 534 534 534

533 533 533 533 532

532 532 532 531 531

531 531 531 530 530

529 529 529 529 529

X

4.350 4-351 4-352 4-353 4-354

4-355 4-356 4-357 4.358 4-359

4.360 4-361 4-362 4-363 4-364

4-365 4.366 4-367 4-368 4.369

4-370 4.371 4-372 4.373 4-374

4-375 4.376 4-377 4-378 4-379

4.380 4.381 4-382 4-383 4-384

4-385 4.386 4 ·3 8 7 4-388 4.389

4.390 4-391 4-392 4-393 4-394

4-395 4-396 4-397 4-398 4-399

1η χ

1,4701758451 1.4704057037 1.4706355 ° 9 6

1.4708652626 1,4710949628

1,4713246103 ι,47ΐ5542 05ΐ 1.4717837471 1.4720132365 1.4722426733

1.4724720574 1.4727013 889 1.4729^06678 1.4731598941 1.4733890680

1.4736181 893 1.4738472 58ι 1.4740762745 1.4743052384 ι.4745341 5oo

1.4747630091 ι ,47499ΐ8ΐ59 1.4752205703 1.4754492724 1.4756779223

1.4759065198 1.4761350651

1.4763635582 1.4765919991 1.4768203 878

1.4770487244 1.4772770088 1.4775052 4ΐ2 1-4777334 214 1.4779615496

1.4781896258 1.4784176500 1.4786456222 1.4788735424 ι . 4 7 9 1 0 Ι 4 107

1.4795292271 1.4795569916 1.4797847042 1,4800123 650 1.4802399740

1.4804675311 1.4806950365 1.4809224902 1.4811498 921 1.4813772424

Δ ι

2298 586 2298059 2297 530 2297 002 2296 475

2295 948 2295 420 2294 894 2294 368 2293 841

2293 3ΐ5 2292 789 2292 263 2291 739 2291 213

2290 688 2290 ι64 2289 639 2289 n o 2288 591

2288 ο68 2287 544 2287 021 2286 499 2285 975

2285 453 2284951 2284 409 2283 887 2283 366

2282 844 2282 324 228ΐ 8θ2 2281 282 228θ 762

228θ 242 2279 722 2279 202 2278 683 2278 ι64

2277 645 2277 126 2276 6ο8 2276 090 2275 571

2275 054 2274 537 2274019 2273 505 2272985

- Δ 2

528 528 528 527 527

527 527 526 526 526

526 526 525 525 525

524 524 524 524 524

524 523 523 523 523

522 522 522 521 521

521 521 521 520 520

520 520 519 519 519

519 ί 5 ι 8

5ΐ8 5ΐ8 5x8

517 517 517 517 517

34

Page 43: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4.400 1 4.401 4-402 4.403 4.404 j

4-405 4 · 4 ° 6

4.407 4·4ο8 4-409

4.410 4.411 4.412 4.413 4.414

4.415 4.4ΐ6 4.417 4.4ΐ8 4.419

4.420 4.421 4.422 4.423 4.424

4.425 4*426 4.427 4.428 4·429

4.430 4.431 4-432 4.433 4-434

4.435 4·436 4.437 4 .43 8

4.439

4·440 4.441 4.442 4·443 4·444

4·445 4-446 4.447 4.448 4.449

1η χ

ι.4816045 409 1.4818317878 1.4820589831 1.4822861268 1.4825132 189

1.4827402594 1.4829672484 1.4831941859 1.4834210719 1.4836479064

1.4838746895 1.484IOI4 2II 1.4843281014 1.4845547303 1.4847813078

1,4850078341 1.485234309c 1.4854607326 1.4856871050 1.4859134 261

1.4861396961 1.4863659148 1.4865920824 1.4868181980 1,4870442642

1.4872702785 1.4874962416 1.4877221538 1.4879480148 1.4881738249

1.4883995841 1.4886252922 1.4888509494 1.4890765 558 1.4893O2I 112

Ι.4895276 158 ί 1.4897530 695

1.4899784724 1.4902038245 1.4904291 259

1.4906543 76Ί 1.4908795763 1.4911047255 ι . 4913298240 1.4915548718

ι . 49ΐ7798690 1.4920048 155 1.4922297 115 1.4924545569 1.4926793518

Δχ

2272 469 2271953 2271 437 2270 921 2270 405

2269 890 2269 375 2268 86ο 2268 345 2267831

2267 3*6 2266 8ο3 2266 289 2265 775 2265 263

2264 749 2264 236 2263 724 2263 2II 2262 700

22Ô2 187 2261 676 22Ö1 ΐ65 2260653 22Ö0 143

2259631 2259 122 22586ΤΟ 2258 TOI 2257 592

.2257081 2256 572 2256064 2255 554 2255046

2254 537 2254029 2253 521 2253 014 2252 505

2251999 2251492 2250985 2250478 2249 972

2249 465 2248 960 2248 454 2247 9^9 2247 4^4

- Δ 2

5 ΐ 6 5 ΐ 6

5ι6 5ι6 515

515 515 515 5 Μ S U

5 Μ 5 Μ 5 U 513 513

513 512 512

512 512

512 5>ι 511 511 511

511 510 510 509 510

510 509 509 509 509

5ο8 5ο8 5ο8 5ο8 507

507 507 507 5°6 5°6

5°6 5°6 505 505 $ο5

X

4-450 4-451 4-452 4-453 4-454

4-455 4-456 4-457 4.458 4-459

4.460 4.461 4.462 4.463 4.464

4-465 4.466 4.467 4-468 4.469

4.470 4-471 4.472 4-473 4-474

4-475 4-476 4-477 4.478 4-479

4-48c 4.481 4.482 4.483 4.484

4.485 4-486 4-487 4-488 4.489

4-490 4.491 4-492 4-493 4-494

4-495 4-496 4-497 4 ·49 8

4-499

1η χ

1.4929040962 1.4931287900 1.4933534 334 1.4935780263 1.4938025 688

ι . 4940270 6θ9 1.4942515 026 1.4944758940 τ.4947002 350 ι 4949245256

1.4951487660 ΐ·4953729 56ι 1.4955970 96ο 1.4958211856 τ.4960452 251

1.4962692 143 1.4964931 534 1.4967170424 τ *4969408 8ΐ2 I . 4 9 7 T 6 4 6 7 0 0

1.4973884086 1.4976120 973 1.4978357359 1.4980593245 τ.4982828 631

1.4985063 517 1.4987297904 1.4989531793 1.4991765 182 1.4993998072

1.4996230464 1.4998462358 1.5000693754 1.5002924652 1-5005155 052

1.5007384955 1.5009614 361 1.5011843 270 1.501407Τ 682 1.50T6299598

1.5018527 018 1.5020753941 τ . 5022980 369 1.5025206301 τ. 5027431738

1.5029656679 1.503I881126 τ.5034105 078 1.5036528535 ι.5038551 499

Δχ

2246 938 2246 434 2245 929 2245 425 2244 921

2244417 2243 914 2243 410 2242 906 2242 404

2241 901 2241 399 2240 896 2240 395 2239 892

2239 391 2238 890 2238 388 2237888 2237 386

2236 887 2236 386 2235 886 2235 386 2234 886

2234 387 2233 889 2233 389 2232 890 2232 392

2231 894 2231 396 2230 898 2230 400 2229 903

2229 406 2228 909 2228 412 2227916 2227 420

2226 923 2226 428 2225 932 2225 437 2224941

2224 447 2223 952 2223457 2222 964 2222 46g

- Δ 2

505 505 504 504 504

504 504 5°4 503 503

503 503 5 ° 2 5°2 5°2

! soi 501 501 501 5 ° °

5 ° ° 5 ° ° 5 ° ° 5 ° ° 499

499 499 499 4 9 8 498

498 498 498 497 497

497 497 496 496 496

4ο6 496 495 495 495

495 495 494 494 494

35

Page 44: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4 - 5 0 0 4 5 0 1 4 - 5 0 2 4 -503 4 5 0 4

4 5 0 5 4 - 5 0 6 4 - 5 0 7 4 - 5 0 8 4 - 5 0 9

4 . 5 1 0 4 5 1 1 4 5 1 2 4 . 5 1 3 4 - 5 1 4

4 5 1 5 4 · 5 ΐ 6 4 . 5 1 7 4 - 5 ΐ 8 4 -519

4 - 5 2 0 4 -521 4 - 5 2 2 4 -523 4 . 5 2 4

4-525 4 · 5 2 6 4 -527 1 4 -528 4 -529

4 - 5 3 0 4 -531 4 -532 4 -533 4 - 5 3 4

4 5 3 5 4 -536 4 *5*Ζ 4 - 5 3 8 4 5 3 9

4 - 5 4 0 4 -541 4 5 4 2 4 - 5 4 3 4 - 5 4 4

4 - 5 4 5 4 - 5 4 6 4 - 5 4 7 4 - 5 4 8 4 - 5 4 9

1η χ

1 . 5 0 4 0 7 7 3 9 6 8 1 . 5 0 4 2 9 9 5 9 4 3 1 . 5 0 4 5 2 1 7 4 2 5 1 .5047438 413 1 . 5 0 4 9 6 5 8 9 0 8

1 . 5 0 5 1 8 7 8 9 1 1 ι . 5054098 420 ι . 5 0 5 6 3 1 7 4 3 7 1 - 5 0 5 8 5 3 5 9 6 2 1 . 5 0 6 0 7 5 3 9 9 4

1 . 5 0 6 2 9 7 1 5 3 5 1 . 5 0 6 5 1 8 8 5 8 4 1 .5067405 142 1.5 0 6 9 6 2 1 2 0 8 1 . 5 0 7 1 8 3 6 7 8 4

ι . 5074051 869 ι . 5076266 463 1 . 5 0 7 8 4 8 0 5 6 7 ι . 5080694 ι 8 ο 1 .5082907 3°4

1 . 5 0 8 5 1 1 9 9 3 8 1 . 5 0 8 7 3 3 2 0 8 3 1 . 5 0 8 9 5 4 3 7 3 9 ι . 5091754905 1.5093965 583

1 . 5 0 9 6 1 7 5 7 7 2 1 . 5 0 9 8 3 8 5 4 7 2 ΐ · 5 1 0 0 5 94 685 ι . 5102803 409 j .5105011 646

1 . 5 1 0 7 2 1 9 3 9 5 ι . 5 1 0 9 4 2 6 657 1 .51Τ1633432 1 . 5 1 1 3 8 3 9 7 2 0 1.5116045 521

1 . 5 1 1 8 2 5 0 8 3 6 1.512045 5 664 ι . 5 1 2 2 6 6 0 0 0 7 1 . 5 1 2 4 8 6 3 8 6 4 1 . 5 1 2 7 0 6 7 2 3 5

Ι .512927Ο 121 1 . 5 1 3 1 4 7 2 5 2 1 1 . 5 1 3 3 6 7 4 4 3 7 ι . 5 1 3 5 8 7 5 868 1 . 5 1 3 8 0 7 6 8 1 4

1 .5140277 276 1 . 5 1 4 2 4 7 7 2 5 4 1 . 5 1 4 4 6 7 6 7 4 8 1 . 5 1 4 6 8 7 5 7 5 9 1 .5149074286

Δ ΐ

2221 975 2221 482 2220 988 2220 495 2220 003

2219 5°9 2 2 1 9 0 1 7 2 2 ΐ 8 525 2 2 1 8 0 3 2 2217 541

2 2 1 7 0 4 9 2 2 1 6 5 5 8 2 2 1 6 0 6 6 2215 576 2 2 1 5 0 8 5

2214 594 2214 104 2213 6ΐ3 2213 124 2212 634

22Τ2 145 22ΤΙ 656 2211 ΐ66 22ΙΟ678 2210 189

2209 700 2209 213 22θ8 724 2 2 0 8 2 3 7 2207 749

2207 262 22θ6 775 22θ6 288 2205 8θ1 2205 315

2204 828 2204 343 2203 857 220) 371 2202 886

2202 400 220Ι 9 ΐ 6 2201 43 I 2200 946 2200 462

2199 978 2199 494 2199 o n 2 1 9 8 5 2 7 2198 044

- Δ 2

493 493 493 493 493

493 492 492 492 492

491 491 491 491 49ΐ

490 490 490 490 4 8 9

489 489 4 8 9

489 4 8 9

4»8 488 488 488 487

487 487 487 486 486

486 486 486 485 485

485 485 485 484 484

484 483 483 483 483

χ

4 . 5 5 0 4 5 5 1 4 - 5 5 2 4 -553 4 . 5 5 4

4 5 5 5 4 5 5 6 4 . 5 5 7 4 - 5 5 8 4 - 5 5 9

4 - 5 6 0 4 · 5 6 ι 4 - 5 6 2 4 . 5 6 3 4 . 5 6 4

4-565 4 - 5 6 6 4 -567

1 4-568 4 . 5 6 9

4 - 5 7 0 4 -571 4 - 5 7 2 4 -573 4 - 5 7 4

4-575 4 - 5 7 6 4 5 7 7 4 · 5 7 8 4 -579

4 . 5 8 0 4 . 5 8 1 4 . 5 8 2 4 . 5 8 3 4 . 5 8 4

4-585 4 . 5 8 6 4 . 5 8 7 4 - 5 8 8 4 . 5 8 9

4 . 5 9 0 4 -591 4 - 5 9 2 4 . 5 9 3 4 . 5 9 4

4 . 5 9 5 4 -5 96 4 - 5 9 7 4 - 5 9 8 4 -599

1η χ

ι . 5 1 5 1 2 7 2 33° 1 . 5 1 5 3 4 6 9 8 9 0 1 . 5 1 5 5 6 6 6 9 6 8 1 . 5 1 5 7 8 6 3 5 6 4 1 . 5 1 6 0 0 5 9 6 7 6

1.5162255 3°7 1 . 5 1 6 4 4 5 0 4 5 6 1 .5166645 123 1 . 5 1 6 8 8 3 9 3 0 8 I .517IO33 012

I . 5 1 7 3 2 2 6 2 3 5 1 . 5 1 7 5 4 1 8 9 7 7 Ι . 5 1 7 7 6 1 1 2 3 9 τ . 5179803 019 1 . 5 1 8 1 9 9 4 3 2 0

1 . 5 1 8 4 1 8 5 1 4 0 ΐ · 5 ΐ 8 6 3 7 5 4 8 ι 1 . 5 1 8 8 5 6 5 3 4 2 1 . 5 1 9 0 7 5 4 7 2 4 1.5192943 626

ι . 5 1 9 5 1 3 2 049 1 . 5 1 9 7 3 1 9 9 9 3 1 . 5 1 9 9 5 0 7 4 5 9 1 . 5 2 0 1 6 9 4 4 4 7 1 . 5 2 0 3 8 8 0 9 5 6

1 . 5 2 0 6 0 6 6 9 8 7 1 .5208252 541 1 . 5 2 1 0 4 3 7 6 1 7 ι . 5 2 1 2 6 2 2 2ΐ5 ι . 5 2 1 4 8 0 6 337

1 . 5 2 1 6 9 8 9 9 8 1 1-5219173 149 1.5221355 840 1 . 5 2 2 3 5 3 8 0 5 5 1 . 5 2 2 5 7 1 9 7 9 4

1 .5227901 057 1 .5230081 844 1 .5232262 156 ι . 5234441 993 ι . 5 2 3 6 6 2 1 354

1 .5238800 241 1 . 5 2 4 0 9 7 8 6 5 3 1 . 5 2 4 3 1 5 6 5 9 0 1-5245334 053 1 . 5 2 4 7 5 1 1 0 4 3

1 . 5 2 4 9 6 8 7 5 5 8 1 . 5 2 5 1 8 6 3 6 0 0 1 .5254039 ι 6 8 ι . 5 2 5 6 2 1 4 263 1 . 5 2 5 8 3 8 8 8 8 6

Δ ΐ

2 1 9 7 5 6 0 2 1 9 7 0 7 8 2196 596 2196 I I 2 2195 631

2195 149 2194 667 2194 185 2193 704 2193 223

2192 742 2192 262 2 Ι 9 Ι 78ο 2Ι9Ι 3 ° ι 2 1 9 0 8 2 0

2190 341 2189 86 ι 2 1 8 9 3 8 2 2ΐ 88 902 2 1 8 8 4 2 3

2 1 8 7 9 4 4 2 1 8 7 4 6 6 2 1 8 6 9 8 8 2 ΐ86 509 2 1 8 6 0 3 1

2 1 8 5 5 5 4 2185 076 2184 598 2 ΐ 8 4 122 2183 644

2183 ι 6 8 2 ΐ82 691 2 1 8 2 2 1 5 2 ΐ 8 ι 739 2 ΐ 8 ι 263

2 ΐ 8 ο 787 2 1 8 0 3 1 2 2 1 7 9 8 3 7 2 ΐ 7 9 36ι 2 1 7 8 8 8 7

2 1 7 8 4 1 2 2177 937 21.77463 2 1 7 6 9 9 0 2 1 7 6 5 1 5

2 1 7 6 0 4 2 2175 568 2175 095 2174 623 2174 149

~ Δ 2

483 482 483 482 482

1 482 482 48 ι 481 481

48 ι 481 48ο 48ο 48ο

48ο 479 479 479 479

478 478 478 478 478

478 478 477 477 477

477 476 476 476 476

475 475 475 475 475

475 474 474 474 474

474 473 473 473 473

36

Page 45: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4·6οο 4.6ο ι 4.602 4.603 4.604

4.605 4·6ο6 4.607 4·6ο8 4·6θ9

4 .6 ιο 4 · 6 ι ι 4.612 4.6ΐ3 4 ·6ΐ4

4.6ΐ5 4 ,6ι6 4.6ΐ7 4 .6 ι8 4,6ΐ9

4.620 4.621 4.622 4.623 4.624

4.625 4.626 4.627 4.628 4.629

4-630 4.631 4.632 4-633 4.634

4-635 4.636 4-637 4.658 4.639

4.640 4.641 4.642 4-643 4.644

4-645 4.646 4.647 4.648 4.649

1η χ

1.5260563035 1.5262736712 1,5264909 9 χ6 1.5267082048 ι . 5269254 9°9

1.5271426697 1.5273598 CM 1.5275768860 1.5277939 234 1.5280109 137

1.528227857° 1.5284447532 ι . 5286616 024 1.5288784046 ι . 5290951 SQ8

1.5293118 680 1.5295285 292 1.5297451435 τ.5299617 Ι 0 9 1.5301782314

1.5303947051 1.530ÒII1 319 1.5308275 119

.1.5310438450 ι.5312601 314

1.5314763710 ι.5316925 638 1.5319087099 1.5321248093 1.5323408620

1.5325568681 1.5327728275 1.5329887405 1.5332046064 1,5334204260

1.5336361990 1.5338519255 1.5340676054 1.5342832388 1.5344988258

1.5347143662 1.5349298603 1.5351453079 1.5353607090 1.5355760638

1.535791372·;; 1.5360066343 1.5362218 501 1.5364370195 τ. 5366521 427

Δ ΐ

2173677 2173 204 2172 73 2

2172261 2171 788

2171 3χ7 2170846 2170 374 2169 9°3 2169433

2ΐ68 962 2ΐ68 492 2ΐ68θ22 2167552 2167082

2ΐ66 6ΐ2 2ΐ66 143 2165 674 2165 205 2164737

2164 268 2163 8οο 2163 331 2162 864 2162 396

2161 928 2161 461 2160 994 2160527 2160061

2159594 1 2159 128 2158661 2158 196 2157730

2157265 2156799 2156334 2155870 2155404

2154 941 2154476 2154011 2153548 2153085

2152620 2152 158 1 2151694 2151232 2150769

- Δ 2

473 472 472 472 472

471 471 471 470 470

470 470 470 470 470

469 469 469 468 468

468 468 468 468 468

467 467 467 466 466

466 466 466 4 66 465

465 465 465 465 464

464 465 464 463 464

463 463 463 463 463

X

4.650 4-651 4.652 4.653 4.654

4.655 4.656 4.657 4.658 4.659

4·66ο 4 ·66ι 4.662 4.663 4.664

4.665 4.666 4.667 4.668 4.669

4.670 4.671 4.672 4.673 4.674

4,675 4.676 4.677 4.678 4-679

4.68ο 4.68ι 4.682 4 . 6 8 3 4.684

4.685 4.686 4 .68 7 4.688 4.689

4.690 4.691 4.692 4-693 4.694

4.695 4.696 4<697 4.698 4.699

1η χ

1.5368672196 1.5370822502 1.5372972347 1.5375121729 1.5377270649

1.5379419107 1.5381567104 1.5583714640 ι . 5385861 715 1.5388008328

1.5 390154 481 1.5392300 174 1.5394445 406 1.5396590178 1.5398734490

1.5400878343 1.5403021 736 1.5405164670 1.5407307144 1.5409449 ι6ο

1.5411590717 1.5413731 8ΐ5 ι.5415872455 ι . 5418012637 ι.5420152 361

ι . 5422291 627 1.5424430436 1.5426568787 ι . 5428706 682 1.5430844 II9

1.5432981099 1.5435117623 1.5437253691 1-5439389302 1,5441524 457

1.5443659157 1.5445793 401 1.5447927189 1.5450060523 1.5452193 401

1.5454325825 1.5456457793 1.5458589308 1.5460720368 1,5462850974

ι . 5464981 127 1,5467110825 1.5469240070 1,5471368862 1.5473497 201

Δ ΐ

2150306 2149845 2149 382 2148 920 2148458

2147 997 2147 536 2147 075 2146613 2146153

2145 693 2145 232 2144 772 2144 312 2143853

2143 393 2142 934 2142 474 2142 0ΐ6 2141557

2141 098 2140640 2140 ΐ82 2139 724 2139 266

2138809 2138351 2137895 2137437 2136980

2136524 2136068 2135611 2135 155 1 2134 7°°

2134 244 2133 788 2133 334 2132878 2132424

2131968 1 2131515 2131060 | 2130606 2130153 1

2129 698 2129245 1 2128 792 2128 339 2127 886

- Δ 2

462 462 462 462 461

461 461 461 46ι 46ο

46ο 46ο 46ο 459 459

459 459 459 459 459

458 458 458 458 457

457 457 457 457 456

456 456 456 456 456

456 455 455 455 455

454 454 454 454 454

453 453 453 453 453

37

Page 46: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4-700 4-701 4-702 4.703 4.704

4-705 4-7θ6 4.707 4.708 4.709

4.710 4.711 4.712 4.713 4.714

4.71S 4 . 7 1 6

4.717 4.718 4.719

4.720 4.721 4.722 4.723 4.724

4.72$ 4.726 4.727 4.728 4.729

4.73c 1 4.731

4.732 4.733 4.734

4.735 4.736 4.737 4.738 4.739

4.740 4.741 4.742 4.743 4.744

4.74$ 4.746 4.747 4.748 4.749

in x

1,$47562$ 087 1.5477752520 1,5479879501 1,5482006030 i .5484132106

1,5486257730 1. $488382 903 1. $490$ 07 624 1.$ 492631 894 1.$4947$$ 713

1.$ 496879 080 1. $499001 997 1.$$01124463 1.$ $03246 479 Ì 1.5505368045

1.5507489 161 1.5509609827 1.5511730045 1.5513849 810 1.5515969 127

1.5 518087 996 1.5520206416 1,5522324387 1.$ $24441 909 i ,$$26$$8 9 8 3

1. $$2867$ 609 i . $$30791 788 1. $$32907 518 I,$$3$022 80I 1.5537137637

1.5539252025 1.554i365 9 6 6

1.5543479 461 1.5545592509 1.5547705 i n

i . 5549817 266 1.5551928976 1.5554040239

1 1.5556151057 1.5558261 430

1.5560371357 1.5562480839 1.5564589876 1.5566698469 1.5568806 617

1,5570914321 1,5573021580 1.5575128396 1,5577234767 1.5579340696

Δ ΐ

2127433 2126981 2126529 2126076 212$ 624

2125 173 2124 721 2124 270 2123 8i9 2123 367

2122 917 2122466 2122 016 2I2I 566 2I2I HO

2120 666 2120 216 2II9767 2II9317 2II8869

2I1842O 2117971 2II7522 2117 Ο74 2116626

21 l6 l79 2II573O 2II5 283 2II4836 2114 3 8 8

2113 941 2113495 2113048 2II2602 2112155

2II1 7IO 2 H I 2 6 3 2IIO818 2IIO373 2109 927

2IO9 482 2IO9O37 2IO8 593 2108 I48 21Ο7 704

2IO7259 2IO6 olO 2IO6371 2IO5 929 2IO5 484

- Δ 2

452 452 452 452 451

451 451 45i 451 451

451 450 ! 450 450 450

450 449 449 449 449

449 449 448 448 448

448 448 447 447 447

447 447 446 446 446

446 446 445 445 445

44$ 444 444 444 444

444 444 444 444 443

X

4.750 4.751 4-752 4.753 4.754

4.755 4.756 4-757 4.758 4.759

4.760 4.761 4.762 4.763 4.764

4.765 4.766 4.767 4.768 4.769

4.770 4.771 4.772 4.773 4.774

4.775 4.776 4.777 4.778 4.779

4.780 4.781 4.782 4..783 4.784

4.785 4.786 4·?ϋζ 4.788 4 ·7 8 9

4-790 4.791 4.792 4.793 4-794

4.795 4 ·79 6

4.797 4 .79 8

4.799

In x

1.5581446 180 1,5583551222 1.5585655821 1.5587759976 1.5589863689

1.5591966 960 1.5594069 788 1.5596172175 1,5598274119 1.5600375 621

1.5602476682 1.5604577302 1.5606677 481 1.5608777 218 1.5610876 515

1.5612975371 1.5615073787 1.56I717I 762 1.5619269 298 1.5621366 393

1.5623463049 1.5625559265 1.5627655 042 1.5629750380 1.5631845 279

1.5633939739 1.5636033 761 1,5638127344 1.5640220489 1.5642313 196

1.56444054^5 1.5646497296 1.5648588690 1.5650679647

j 1.5652770 166

1.5654860249 1.5656949895 1.5659039104 1.5661127877 1.5663216 214

1.5665304114 1.5667391 579 1,5669478608 1.5671565202 1.5673651360

1.5675737083 1.5677822372 1.5679907225 1.5681991 644 1.5684075629

Δχ

2105 °42 2104 599 2104 155 2103 713 2103 271

2102 828 2102 387 2101 944 2101 502 2101 o'->i

2 1 0 0 6 2 0 2100 179 2099 737 2099 297 2098856

2098 416 2097 975 2097536 2097 095 2096 656

2096 216 2095 777 2095 338 2094 899 2094 460

2094 022 2093 583 2093 145 2092 707 2092 269

2091 831 2091 394 2090957 2090519 2090 083

2089 646 2089 209 2088 773 2088 337 2087 çoo

2087465 2087 029 2086 594 2086 158 2085 723

2085 289 2084853 2084419 2083 985 2083550

- Δ 2

443 443 443 442 442

442 442 44-441 441

441 441 441 441 440

440 440 440 440 440

439 439 439 439 438

438 β 8

438 4S8 438

437 437 437 437 437

437 436 43 6

43^ 436

436 436 436 435 435

435 434 434 434 434

38

Page 47: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

4.8oo 4.801 4.802 4.803 4.804

4.8o< 4.806 4.807 4,808 4.809

4.810 4.811 4.812 4.813 4.814

4.815 4.816 4.817 4.818 4.819

4.820 4.821 4.822 4.823 4.824

4.825 4.826 4.827 4.828 4.829

4.830 4.831 4.832 4.833 4.834

4.835 4.836 4.837 4.838 4.839

4.840 4.841 4.842 4.843 4.844

4.845 4.846 4.847 4.848 4.849

In x

1.5686159 179 1.5688242295 1.5690324978 1.5692407227 1,5694489042

1.5696570424 1.5698651 373 1.5 700731 889 1.5 702811 972 t . 5 704891 623

1.5706970841 1.5709049627 1.5711127981 1.5713205903 1.5715283 394

1.5717360453 1.5719437 080 1.5721513 276 1.5723589042 1.5725664377

1.5727739 281 1.5729813 754 1.5731887798 1.5733961411 1.5736034594

1.5738107 348 1.5 740179 672 1.5 742251 567 1.5744323032 i-5746394o69

1.5748464677 1.5750534856 1.5752604606 1.5754673929 1.5756742823

1.5758811 289 1.5760879 328 1.5762946938 I.5765OI4 122 I.5767080878

1.5769147 207 1.5.771213 n o 1.5773278585 1.5775343634 1.5777408257

1.5779472453 1.5781536 224 1-5783599569 1.5785662488 1.5787724981

Δχ

2083 I I 6 2082 683 2082 249 2081 815 2081 382

20«0 949 2080 516 2080 083 2079 651 2079218

2078 786 2078 354 2077 922 2077491 2077059

2076 627 207S 196 2075 766 2075 335 2074 904

2074 473 2074 044 2073 613 2073 i 8 3 2072 754

2072 324 2071 895 2071 465 2071 037 2070 608

2070 179 2069 750 2069 323 2068 894 2068 466

2068039 2067610 2067 184 2066 756 2066 329

2065 903 2065 475 2065 049 2064 623 2064 196

2063 771 2063 345 2062 919 2062 493 2062 068

- Δ 2

434 434 434 433 433

433 433 432 432 432

432 4 3 2 432 432 432

431 431 431 431 431

430 4 3 0 430 429 429

429 429 429 429 429

429 428 428 428 428

428 427 427 427 427

427 427 427 427 426

426 426 426 426 425

X

4.850 4.851 4.852 4.853 4.854

4.855 4.856 4.857 4.858 4.859

4.86ο 4 ·86 ι 4.862 4.863 4.864

4.865 4.866 4.867 4.868 4 .86 9

4.870 4'. 871 4.872 4.873 4.874

4.875 4.876 4.877 4.878 4.879

4.880 4.881 4.882 4.883 4.884

4.885 4.886 4.887 4.888 4.889

4.890 4.891 4,892 4.893 4.894

4.895 4.896 4.897 4.898 4.899

In x

1.5789787049 1.5 791848 693 1.5793909911 1-5795970704 1.5798031073

1.5800091 017 1.5802150538 1.5804209634 1.5806268 306 1.5808326 554

1.5810384 379 1.5812441 781 1.5814498 759 1.5816555 314 1.5818611447

1,5820667 156 1.5822722444 1.5824777309 1.5826831 751 1.5828885 772

1.5830939 371 i-5832992 548 1.5835045304 1.5837097639 1.5839149 552

1.5841201 044 1.5843252 116 1.5845302767 1.5847352998 1.5849402808

1.5851452 199 1.5853501169 1-5855549720 1.5857597 851 1.5859645562

1.5861692 855 1.5863739728 1.5865786183 1.5867832 219 1.5869877836

1.5871923 035 1.5873967 816 1.5876012 178 1.5878056 123 1.5880099650

1.5882142 760 1,5884185452 1,5886227727 1. ^888269 585 1.5890311 027

Δ1

2θ6ι 644 2061 218 2060 793 2060 369 2059944

2059 5 2 ϊ

2059096 2058672 2058248 2057825

2057 402 2056 978 2056555 2056 133 2055 709

2055 288 2054 865 2054 442 2054 021 2053 599

2053 177 2052 756 2052335 2051 913 2051 49 2

2051 072 2050651 2050231 2049 8io 2049 391

2048 97ο 2048551 2048 131 2047 711 2047 293

2046 873 2046 455 2046 036 2045 6 i7 2045 199

2044 781 2044 362 2043 945 2043 527 2043 n o

2042 692 2042 275 2041 858 2041 442 2041 024

- Δ 2

425 425 425 425 424

424 424 424 424 424

424 423 423 423 422

422 422 4 2 2 422 422

422 422 422 422 421

421 421 420 420 420

420 4 2 0 420 419 419

419 419 419 4 i 9 4 i 9

419 4 i 8 418 418 418

418 418 417 417 417

39

Page 48: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

4.900 4.901 4.902 4.903 4.9°4

4.905 4 . 9 ° 5

4.907 4.908 4.9°9

4.910 4 . 9 1 1

4 . 9 1 2

4.9*3 4-9M

4 - 9 ^ 4 .9 i6 4-9*7 4 · 9 * 8

4.9*9

1 4.920

4.Q2I 1 4 · 9 2 2

4·9 2 3 4 .9 2 4

4 9 2 $ 1 4 ·9 2 ^

4 ·9 2 7 4 . 9 2 8

4.9 2 9

4-930 4-931 4-932 4.933 4-934

4-935 4 .93 6

4-937 4 . 9 3 8

4-939

4-940 4.941 4 . 9 4 2

4-943 4.944

4.945 4.946 4.947 4.94« 4-949

In x

1.5892352 051 1.5894392659 1.5896432851 1.5898472627 1.5900511986

1.5902550930 1.5904589458 1.5906627 571

1.S908665 268 1.5910702551

ι . 5912739418 ι . ^9Μ775 87ΐ ι.5916811 9θ8 1,5918847532 1.5920882 741

1.5922917 536 1.5924951 917 ι . 5926985 884 ι . 5929019438 ι\5931052 578

1.5933085305 1.5935117619 1-5937149 520 1.5939181008 1.5941212083

1.5943242746 ΙΛ945272 997 1.5947302836 1.5949332262 ι.5951361 277

1.5953389 88ι 1.5955418072 1.5957445853 1.5959473 223 ι.5961500 ι8ι

1.5963526 729 1.5965552866 1.5967578593 1.5969603 Ç09 1.5971628 8ι6

1.5973653312 1.5975677399 1.5977701076 1.5979724 343 1.5981747 2 ° 2

1.5983769 651 ι . 5985791 691 I.5987813 322 Ι.5989834545 1.599ΐ855 360

Δχ

2040 6ο8 20^0 192 2039 776

2039 359 2038944

2038 528 2038113 2037697 2037283 2036 867

2036453 2036 037 2035624 2035 209 2034 795

2034 38ι 2033 967 2033 554 2033 *4ο 2032 727

2032314 2031901 2031488 2031 075 2030663

2030251 2029 839 2029 426 2029015 2028 6ο4

2028 191 2027 781 2027 37° 2026958 2026 548

2026 137 2025 727 2025 3ΐ6 2024 Ç07 2024 49 6

2024 087 2023 677 2023 267 2022859 2022 449

2022 040 2021631 2021 223 2020815 2020 4θ6

- Δ 2

4ΐ6 4ΐ6

• 4ΐ6 4ΐ6 4ΐ6

4ΐ6 4ΐ6 415 4ΐ5 415

415 414 414 4M 4M

4M 4M 413 413 413

413 413 413 412 412

412 412 412 412 412

411 411 411 411 411

411 4ΙΟ 4ΐο 4ΐο 4J.0

410 4ΐο 409 409 409

409 408 408 408 408

X

4.950 4.951 4.952 4-953 4-954

4.955 4-956 4.957 4.958 4.959

4.960 4.961 4.962 4.963 4·9 64

4 ·9 6 5 4.966 4 ·9 6 7 4.968 4 .9 6 9

4.97° 4.971 4.972 4.973 4-974

4.975 4.976 4.977 4.978 4.979

4.980 4.981 4.982 4.983 4-984

4.985 4.986 4·92Ζ 4.988 4.989

4.99° 4.991 4.992 4-993 4-994

4-995 4 · 9 9 6

4-997 4-99 8

4-999

In x

1.5993875766 1.5995895764 1-5997915 354 1-5999934 536 ι.6001953 3 χ ι

1.6003971 678 1.6005989638 ι . 6008007 190 1.6010024 336 1.6012041075

ι.6014057 407 1.6016073 333 1.6018088853 ι.6020103 966 ι,6022118673

ι.6024132 975 ι.6026146 871 1.6028160 361 1.6030173 446 I.6032186 126

1.6034198 401 1.6036210271 1.6038221 736 1.6040232 797 1.6042243454

1.6044253 7θ6 1.6046263 554 1.6048272999 1.6050282039 ι . 6052290 677

1.6054298910 1.6056306741 1.6058314 ι68 1,6060321 193 1,6062327815

1.6064334034 1.6066339851 1.6068345 266 1.6070350278 1,6072354889

1.6074359098 1.6076362905 1.6078366 3II 1.6080369315 1.6082371919

1.6084374 121 1.6086375923 1.6088377324 1.6090378324 1.6092378924

Δχ

2019 998 2019 59° 2019 ΐ82 20ΐ8 775 20ΐ8 367

2017960 2017 553

2017 146 20ΐ6 739 20ΐ6 332

2015 926 2015 520 2015 113 2014 707 2014 3°2

2013 896 2013 4Ç0 2013085 2012 68θ 2012 275

2011 87Ο 2011465 2011 θ6ΐ 2010657 2010252

2009 848 2009 445 2009 040 20θ8 638 2008233

2007831 2007 427 2007 025 2C06 622 2006 219

2005 817 2005415 2ΟΟ5 012 2004 611 2004 209

2003 807 2003 406 2003 004 2002 604 2002 202

2001 802 2001 4ΟΙ 2001 000 2000 600 2000 200

~ Δ 2

4ο8 408 4ο8 408 4ο8

4θ8 407 407 407 4θ6

4θ6 4ο6 4θ6 4θ6 4θ6

4θ6 405 405 405 405

405 404 404 404 404

404 404 404 404 403

403 403 403 403 402 1

402 1 402 1 402 1 402 1 402 I

402 1 402 401 401 401

401 401 400 400 400

40

Page 49: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

5-000 5.001 5.002 5.003 5.004

5.005 5-oo6 5.007 5-oo8 5.009

5.01° 5.011 5.012 5-013 5-014

5-015 5.οι6 5 0 1 7 5·0ΐ8 5.019

5-020 5-021 5-022 5 0 2 3 5.024

5 0 2 5 I 5.026

5.027 5.028 5 0 2 9

5-030 5-031 5 0 3 2 5.033 5-034

5 0 3 5 5 0 3 6 5 0 3 7 5-038 5 0 3 9

5-040 5-041 5.042 5.043 5 0 4 4

5-045 5-046 5-047 5-048 5-049

1η χ

1.6094379 124 1.6096378924 1,6098378325 1.6100377325 ι.6102375 926

ι .6ιο4374 128 1,6106371 93° 1.6108369 333 1.6110366 338 ι . 6 ι 12362 944

1.6114359151 1.6116354960 1.6118350370 1.6120345 383 1.6122339 997

ι.6124334 2ΐ4 1,6126328033 1.6128321455 1.6130314479 1.6132307 107

1.6134299337 1.6136291 171 1.6138282607 1.6140273 648 1.6142264 292

1.6144254 559 1.6146244391 1.6148233847 1.6150222907 1.6152211 572

ι . 6 ι54 ΐ99 8 4ΐ 1.6156187715 1.6158175 194 1.6160162278 1.6162148967

ι.6164135 262 ι .6ι66ΐ2ΐ ι62 ι .6 ι68ιο6 668 1.6170091 779 ι . 6172076 497

1.6174060 821 1,6176044751 1.6178028 288 1.6180011431 1.6181994181

ι.6183976 538

1,6185958502 1.6187940074 ι.6189921 252 1.6191902039

Δχ

1999 8οο 1999 401 1999000 1998 6οι 1998 202

1997 8θ2 1997 403 1997005 1996 6ο6 1996 207

1995 809 1995 410 1995 013 1994614 1994 217

1993 8ΐ9 1993 422 1993 024 1992 628 1992 230

1991 834 1991 43 6

1991041

1990 247

1989852 1989456 1989 ο6ο 1988 665 1988 269

1 1987 874 1987 479 1987 ο84 1986 689

! 1986 295

1985 9°° 1985 506 1985 m 1984 7χ8 1984 324

ΐ983 930 ΐ983 537 ΐ983 143 1982 750 1982 357

1981 964 1981 572

1981178 1980 787 1980 394

- Δ 2

400 400 400 400 400

399 399 399 399 399

399 398 399 398 398

3 9 8 398 397 397 397

397 39ο 396 396 396

396 396 39 6

39 6

395

395 395 39$ 395 395

395 395 394 394 394

394 394 393 393 393

393 393 393 393 392

X

5-050 5-051 5.052 5.053 5.054

5-055 5-056 5.057 5.058 5-059

5.ο6ο 5.ο6ι 5.062

1 5.063 5.064

5·ο65 5-066 5.067 5-068 5-069

5.070 5-071 5.07? 5.073 5.074

5.075 5.076 5.077 5.078 5.079

5·ο8ο 5.ο8ι 5-o82 5.083 5.084

5-085 5.086 5·θ87 5 · Ο 8 8 5-089

5.090 5-091 5.092 5-093 5-094

5-095 5.096 5.097 5-098 5.099

1η χ

ι.6193882 433 1.6195862435 ι . 6197842 045 1.6199821 263 ι . 6201800090

1.6203778 525 1.6205756568 1,6207734^21 1.6209711482 1.6211688353

ι.6213664 833 ι . 6215 640 922 I .6217616 Ó2I ι.6219591 93° 1.6221566848

1,6223541377 1.6225515 5ΐ6 1,6227489265 1.6229462625 ΐ-6231435 595

1,6233408 176 1.6235380368 1.6237352171 1.6239323 586 1.6241294 6ΐ2

1.6243265 249 1.6245235499 1.6247205 360 ι.6249174 833 1.6251143 9χ8

1,6253112616 1.6255080926 1.6257048849 1,6259016385 1.6260983533

1.6262950295 1.6264916670 1.0266882658 1.6268848260 ι . 6270813476

1.6272778306 1.6274742749 ι . 6276706 8ο7 1.6278670479 1.6280633 766

1.6282596667 1.6284559183 1.6286521 314 1.6288483060 1.6290444 421

Δι

ΐ98οίκ)2 1979 6ιο 1979218 «978 827 1978435

Ι978 043 1977653 1977 26ι 1976871 1976 48ο

1976 089 1975 699 1975 309 1974918 1974 529

1974 139 1973 749 1973 36ο 1972 970 1972 58ι

1972 192 1971 8θ3 1971415 1971 026 1970637

1970 250 1969 86ι 1969 473 1969 085 1968 698

1968 310 1967923 1967536 1967 148 1966 762

1966 375 1965 988 1965 6θ2 1965 2ΐ6 1964 830

1964443 1964058 1963 672 1963 287 1962 901

1962 516 1962 131 1961 746 1961 361 i960 976

- Δ 2

392 392 392 392 392

391 391 391 391 391

390 390 390 390 390

390 390 390 3% 3 9

389 389 389 389 388

388 388 388 388 388

387 387 >¥ 387 387

387 386 186 386 386

386 386 3§6 386 3δ5

3ϋ* 385 385 384

41

Page 50: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

5 . 1 0 0 5 .101 5 . 1 0 2 5-103 5 . 1 0 4

5-105 5 . ι ο 6 5-107 5 . 1 0 8 5 . 1 0 9

5 . 1 1 0 5 . m 5 . 1 1 2 5 . 1 1 3 5 . 1 1 4

5 .115 5 . 1 1 6 5 . 1 1 7 5 . 1 1 8 5-119

5 , 1 2 0 5 . 1 2 1 5 . 1 2 2 5 .123 5 . 1 2 4

5 .125 5 .126 5 . 1 2 7 5 . 1 2 8 5 . 1 2 9

5 . 1 3 0 5 .131 5 . 1 3 2 5 . i * 3 5 . 1 3 4

5-135 5 . 1 3 6 5 . 1 3 7 5 . 1 3 8 5 . 1 3 9

5 . 1 4 0 5 . 1 4 1 5 . 1 4 2 5 .143 5 . 1 4 4

5-145 5 . 1 4 6 5 . 1 4 7 5 . 1 4 8 5 . 1 4 9

In x

1.6292405 397 1.6294365 989 1 .6296326 197 1 , 6 2 9 8 0 8 6 0 2 1 1.6300245 460

1 .6302204 516 1 .6304163 188 1 .6306121 477 1 .6308079 382 1 . 6 3 1 0 0 3 6 9 0 3

i . 6311994 042 1 . 6 3 1 3 9 5 0 7 9 8 1 .6315907 171 1 .6317863 161 1 . 6 3 1 9 8 1 8 7 6 9

1 .6321773 994 1 . 6 3 2 3 7 2 8 8 3 7 1 . 6 3 2 5 6 8 3 2 9 8 1 . 6 3 2 7 6 3 7 3 7 7 1 . 6 3 2 9 5 9 1 0 7 5

1 .6331544 391 1 . 6 3 3 3 4 9 7 3 2 5 i . 6 3 3 5 4 4 9 878 1 . 6 3 3 7 4 0 2 0 5 0 1 . 6 3 3 9 3 5 3 8 4 0

1 .6341305 250 1 . 6 3 4 3 2 5 6 2 7 9 1 . 6 3 4 5 2 0 6 9 2 8 1 . 6 3 4 7 1 5 7 1 9 6 1 .6349107 084

1 . 6 3 5 1 0 5 6 5 9 2 1.6353005 720 1 . 6 3 5 4 9 5 4 4 6 8 1 . 6 3 5 6 9 0 2 8 3 6 1 . 6 3 5 8 8 5 0 8 2 4

1 . 6 3 6 0 7 9 8 4 3 4 1.6362745 664 1 .6364692 515 1 .Ó366638987 1.6368585 080

1 . 6 3 7 0 5 3 0 7 9 5 1 .6372476 131 1 . 6 3 7 4 4 2 1 0 8 8 1.6376365 668 1 . 6 3 7 8 3 0 9 8 6 9

1 .6380253 693 1 .6382197 139 1 . 6 3 8 4 1 4 0 2 0 7 1 . 6 3 8 6 0 8 2 8 9 7 1.6388025 211

Δ χ

i 9 6 0 592 i 9 6 0 2o8 1 9 5 9 8 2 4 1959 4^9 1 9 5 9 0 5 6

1 9 5 8 6 7 2 1958 289 1957905 1 9 5 7 5 2 1 1 9 5 7 1 3 9

1 9 5 6 7 5 6 1 9 5 6 3 7 3 1 9 5 5 9 9 0 1955 608 1955 225

1 9 5 4 8 4 3 1954 461 1 9 5 4 0 7 9 1953 698 1 9 5 3 3 1 6

1 9 5 2 9 3 4 1 9 5 2 5 5 3 1952 172 1 9 5 1 7 9 0 1 9 5 1 4 1 0

1951 029 1 9 5 0 6 4 9 1950 268 1949 888 1949 508

1949 128 1948 748 1948 368 1947 988 1 9 4 7 6 1 0

1947 230 1 9 4 6 8 5 1 1946 472 1946 093 1945 715

1945 336 1 9 4 4 9 5 7 1 9 4 4 5 8 0 1944 201 1943 824

1943 446 1943 068 1942 690 1942 314 1941 9 3 6

- Δ 2

384 384 384 3 8 4 384

384 ^84 384 3 c 3

383 383

382 382 382

382 382 382 332 382

3 5 l

' S 1

381 381 381 380 380 380

380 380 380 379 379

379 379* 379 379 379

379 378 378 378 578

378 378 377 377 377

X

5 . 1 5 0 5 .151 5 . 1 5 2 5 . 1 5 3 5 . 1 5 4

5 .155 5 . 1 5 6 5 . 1 5 7 5 . 1 5 8 5 . 1 5 9

5 . 1 6 0 5 . 1 6 1 5 . 1 6 2 5 .163 5 . 1 6 4

5 .165 5 . 1 6 6 5 . 1 6 7 5 . 1 6 8 5 . 1 6 9

5 . 1 7 c 5 . 1 7 1 5 . 1 7 2 5 . 1 7 3 5 . 1 7 4

5-175 5 . 1 7 6 5 -177 5 . 1 7 8 5 -179

5 . 1 8 0 5 . 1 8 1 5 . 1 8 2 5 .183 5 . 1 8 4

5 .185 5 . 1 8 6 5 . 1 8 7 5 . 1 8 8 5 .189

5 . 1 9 0 5-191 5 . 1 9 2 5 .193 5 . 1 9 4

5 .195 5 . 1 9 6 5 . 1 9 7 5 . 1 9 8 5 . 1 9 9

in x

1.6389967 147 1 .6391908 706 1 . 6 3 9 3 8 4 9 8 8 8 1 . 6 3 9 5 7 9 0 6 9 3 1 .6397731 122

1 .6399671 175 1 .6401610 851 1 . 6 4 0 3 5 5 0 1 5 1 1 . 6 4 0 5 4 8 9 0 7 5 1 6 4 0 7 4 2 7 6 2 3

1 . 6 4 0 9 3 6 5 7 9 5 1 .6411303 592 1 .6413241 013 1 .6415178 059 1 . 6 4 I 7 I I 4 7 3 0

1 .6419051 026 1 .6420986 947 1 . 6 4 2 2 9 2 2 4 9 3 1 . 6 4 2 4 8 5 7 6 6 5 1 . 6 4 2 6 7 9 2 4 6 2

1 . 6 4 2 8 7 2 6 8 8 5 1 . 6 4 3 0 6 6 0 9 3 4 1 . 6 4 3 2 5 9 4 6 0 9 1 . 6 4 3 4 5 2 7 9 1 0 1 . 6 4 3 6 4 6 0 8 3 8

1 . 6 4 3 8 3 9 3 3 9 2 1.6440325 572 1 , 6 4 4 2 2 5 7 3 7 9 1 .6444188 813 1 .6446119 874

1 . 6 4 4 8 0 5 0 5 6 3 1 .6449980 878 I . 6 4 5 I 9 I 0 8 2 I 1 . 6 4 5 3 8 4 0 3 9 2 1.6455760«; 90

1 .6457698 417 1 . 6 4 5 9 6 2 6 8 7 1 1 . 6 4 6 1 5 5 4 9 5 4 1 . 6 4 6 3 4 8 2 6 6 5 1.646%: 410 004

1 .6467336 972 1 .6469263 568 1 .6471189 794 1 . 6 4 7 3 1 1 5 6 4 9 1 . 6 4 7 5 0 4 1 1 3 2

1 .6476966 246 1 . 6 4 7 8 8 9 0 9 8 8 1.6480815 360 1 .6482739 362 1 .6484662 994

Δχ

I 9 4 I 5 5 9 1941 i 8 2 1940805 1940 429 1 9 4 0 0 5 3

1 9 3 9 6 7 6 1939 300 1938 924 1938 548 1938 172

1 9 3 7 7 9 7 1 9 3 7 4 2 1 1 9 3 7 0 4 6 1 9 3 6 6 7 1 1 9 3 6 2 9 6

1935 921 1935 546 1935 172 1934 797 1 9 3 4 4 2 3

1 9 3 4 0 4 9 1933 6 7 5 1933 301 1 9 3 2 9 2 8 1 9 3 2 5 5 4

1932 180 1931 807 1 9 3 1 4 3 4 1931 061 1 9 3 0 6 8 9

1930315 1929 943 1 9 2 9 5 7 1 1929 198 1928 827

1 9 2 8 4 5 4 1928083 1927711 1 9 2 7 3 3 9 1926 968

1926 596 1926 226 1925855 1925 483 1925 114

1924 742 1924 372 1 9 2 4 0 0 2 1923 632 1923 262

— Δ ,

377 377 376 376 376

376 376 376 376 376

376 375 375 375 375

375 374 374 374 374

374 374 374 374 374

373 373 37^ 373 373

372 372 372 372 372

372 372 372 372 372

371 371 371 371 371

371 370 370 370 370

Page 51: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

I 5.200 5.201

I 5-202 5 2 0 3 5^-04

5 2 0 5 5·2θ6 5 2 0 7 5·2θ8 5-209

5-210 5*211 5*212 5.213 5 2 1 4

5-215 5«2ΐ6 5-217 5·2ΐ8 5-219

5 · 220 5*221 5*222 5-223 5-224

5 225 5-226 5-227 5-228 5-229

5-230

5 2 3 2 5-233 5-234 :

5.235 5*236 5-237 5-238

*5-239

5*240 | 5.241 1 5.242 5-243 5 244

5-245 5-246 5-247 1 5-248 1 5-249

1η χ

1.6486586256 1.6488509148 1.6490431670 1.6492353 8 a 3 1.6494275607

1.6496197 ο 3 1

ι . 6498118066 1.6500038742 1.6501959049 1.6503878988

1.6505798558 ι.6507717 759 1.6509636593 1.6511555058 1.6513473 *55

1.6515390885 1,6517308246 1.6519225 24ο ι.6521141 867 1.6523058 126

1.6524974019 1.6526889544 1,6528804703 1.65 30719 495 1.6532633 9 2 0

1.6534547 979 1.6536461 67J 1.6538374997 1.6540287958 1.6542200552

1.6544112781 1,6546024644 1.6547936142 1,6549847274 1.6551758041

1,6553668443 1-6555578480 1.6557488153 1-6559397461 1.6561306404

!..6563214 983 Ι.6565123 198

Ι.656703ΙΟ49 1.656893*3 53 6

1.6570845659

1.6572752418 1.6574658814 1.6576564847 1.6578470516 1.6580375 823

Δι

1922 892 1922 522 1922 153 1921 784 1921 4ΐ4

1921 045 1920 676 1920 307 1919 939 1919570

1919 201 1918 834 1918 465 1918 097 1917 730

1917361 1916 994 1916627 1916259 1915 893

1915 525 1915 159 1914 792^ \ Ι9Μ 425 1914059

1913 692 1913 326 1912961 1912 594 1912 229

Ι9Ι1863 1911498 1911 132

1910767 1910402

1910037 1909 673 1909 3°8 1908 943 1908579

1908215 1907 851 1907 487 1907 123 1906 759

1906 396 1906033 1905 669 1905 307 1904943

- Δ 2

370 369 369 369 369

369 369 369 369 369

368 369 368 368 368

367 367 367 367 367

367 367 Ϋ>Ί 366 366

366 366 366 366 366

366 366 365 365 365

365 365 *? 364 364

364 364 | 364 364 363

363 363 363 363

X

5*250 5*251 5.252 5-253 5*254

5-255 5*256 5-257 5-258 5*259

5.26ο 5·26ι 5 · 262 5.263 5-264

5.265 5-266 5-267 5-268 5-269

5.270 5.271 5-272 5-273 5.274

5-275 5.276 5.277 5-278 5-279

5.280 5.281 5.282 5.283 5.284

5-285 5.286 5.287 5,288 5 .28 9

5-290 5-291 5-292 5-293 5.294

5-295 5.296 5*297 5.298 5-299

1η χ

1.6582280766 1.6584185347 1.6586089564 1.6587993420 1.6589896 913

1.6591800043 1.6593702812 1.6595605218 1.6597507263 1.6599408946

1.6601310267 1.66032ΙI 227 ι . 66ο5 m 826 1.6607012 064 1,6608911 940

1.6610811456 1.6612710611 1.6614609 405 1.6616507839 1 661840* 912

ι. 6620303 626 1.6622200 979 1.6624097972 1.6625994605 1.6627890879

ι . 6629786 794 1.6631682349 1.6633577 544 1.6635472 38ι 1.6637366858

1,6639260977 ι,6641154 737 1.6643048 139 1.6644941 ι82 1.6646833867

1.6648726 193 1.6650618 ι62 1.6652509773 1.6654401 025 1.6656291 921

1.6658182459 1.6660072639 1.6661962463 1.6663851 929 1.6665741038

1,6667629 791 ι . 6669518186 1,6671406226 1.6673293 9θ8 1.6675181 235

Δχ

1904 58ι 1904217 1903 856

! 1903 493 Too* 130

1902 769 1902 4ο6 Ι902 045 1901 683 Ι90Ι 321

1900 960 Ι900 599 1900238 1899 876 1899516

1899155 1898 794 1898434 1898073 1897 7M

1897 353 1896993 1896633 1896 274 ι895 915

ι895 555 ι895 195 1894 837 1894 477 1894 119

1893 76ο 1893 402 1893 043 1892 685 1892 326

1891 969 1891611 1891 252 1890 896 1890538

1890 ι8ο 1889 824 1889 466 1889 109 1888753

ι888 395 1888 040 1887682 1887 327 ι886 971

- Δ ,

363 362 362 362 362

362 362 362 362 361

361 361 361 36ι 361

361 36ι 361 360 36ο

36ο 360360 360360

360359 359 359 359

359 359 359 359 358

"1 358 358 358

357 357 357 357 356

356 356 356 356 356

43

Page 52: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

5.300 5.301 5.302 5.303 5.304

5.305 5.306 5.307 5.308 5.309

5.310 5 . 3 " 5.512 5-3!3 5.314

5.315 5 . 3 ^ 5-517 5.318 5.319

5.320 5.321 5-322 5.323 5.324

5-325 5.326 5.327 5.328 5.329

5.330 5.331 5.332 5.333 5.334

5.335 5.336 5.337 5.338 5.339

5.340 5.341 5.342 5.343 5.344

5.345 5.346 5-347 5.348 5.349

In x

1.6677068 206 1.6678954820 1,6680841079 1.6682726982 1.6684612529

1.6686497 721 1,6688382557 1.6690267038 1.6692151165 1.6694034936

1.6695918353 1.6697801 414 1.6699684 122 1.6701566 475 1.6703448473

1.6705330 118 1.67072 n 409 1.6709092345 1.6710972 928 1.6712853 158

1.6714733 034 1.67I66I2 556 1.67I849I 726 1.6720370542 1.6722249005

1.6724127 116 1.6726004874 1.6727882279 1.6729759532 1.6731636035

1.6733512 382 1.6755388578 1.6737264023 1.6739139316 1.6741014 258

1.6742888848 1.6744763086 1.6746636974 1.6748510 510 1.6750383695

1.6752256 530 1.6754129 014 1.6756001147 1.6757872930 1.6759744362

1.6761615 445 1.6763486 177 1.6765356560 1.6767226 592 1.6769096 275

* i

i886 6i4 1886259 1885 903 1885 547 1885 192

1884 836 1884 481 1884 127 1883 771 1883417

1883 061 1882 708 1882353 1881 998 1881 645

1881 291 1880 936 1880 583 1880 230 1879 876

1879 522 1879 170 1878816 1878463 1878 111

1877758 1877405 1877053 1876 701 1876 349

1875 996 1875 645 1875 293 1874 942 1874590

1874 238 1873 888 1873 556 1875 185 1872835

1872 484 1872 135 1871 783 1871432 1871 083

1870 732 1870 383 1870032 1869683 1869 334

- Δ 2

556

556 556 556

556 355 555 555 555

554 554 554 554 554

554 554 354 354 354

355 555 555 555 555

555 352 552 552 552

552 552 552 552 552

551 551 551 551 551

551 550 550 350 350

350 550 350 350 550

X

5-550 5.551 5.552 5 5 5 5 5-554

5.555 5.556 5.557 5.358 5-350

5.360 5.561 5.362 5.565 5.564

5.566 5.567 5.568 5.569

5.370 5.571 5.572 5.573 5.374

5575 5.376 5.377 5.578 5-579

5.58c 5.381 5.382 5.385 5.584

5.585 5.586 5.587 5.388 5.589

5.590 5-591

5.592

5.595 5-394

5.395 5 3 9 6 5-597 5.398 5.399

In x

1.6770965609 1.6772834593 1:6774703 228 1.'6776571 514 1.6778439 451

1.6780307039 1.6782174278 1.6784041 169 1.6785907711 i.6787773 905

r.6789639 751 1.6791505 248 1.6793370398 I.6795235 £00 I.6797099654

I.6798963 761 I.6800827 520 I.680269O932 I.6804555997 i .6806416 714

1.6808279085 1.68I014I 109 1.6812002 787 1.6813864 117 I.6815725 102

1.6817585 740 1.6819446 032 1.6821305 978 1.6823165 578 I.682S024 833

1.6826883742 1.6828742 305 1.6830603 523 1.6832458 396 1.6834315 923

1.6836173 106 1.6838029 944 1.6839886437 1.6841742 585 1,6843598 390

1.6845455849 1.6847308965 1.6849163736 I.685IOI8 164 1.6852872 247

1.6854725987 1.6856579383 1.6858432436 1.6860285146 1.6862137 512

* i

1868 984 1868635 1868 286 1867937 1867588

1867239 1866 891 1866542 1866 194 1865 846

1865 497 1865150 1864 802 1864454 1864 107

1863 759 1863 412 1863065 1862 717 1862 371

1862024 1861 678 1861 330 1860985 1860638

i860 292 1859946 1859600 1859255 1858909

1858563 1858218 1857873 1857527 1857183

1856838 1856493 1856 148 1855805 1855459

1855 116 1854771 1854428 18^4083 1853 740

1855596 1853053 1852 710 1852366 1852024

- Δ ,

549 549 549 549 549

549 549 549 549 549

548 548 548 548 548

548 548 548 547 547

547 347 546 546 546

546 346 346 346 346

546 546 546 545 345

345 545 345 544 544

344 344 344 544 344

344 543 543 343 345

44

Page 53: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

5 400 5-401 5.402 5.403 5·404

5·405 5 4 θ 6 5.407 5 4 0 8 $ 4 0 9

5 4 1 0 5 4 1 1 5 4 1 2 5.413 5.414

5.415 5.416 5.417 5.418 5.419

5.420 5.421 5.422 5.423 5.424

5.425 5.42·6 5.427 5.428 5.429

5.430 5.431 5.432 5.433 5-434

5.435 5.436 5.437 5.438 5.439

5.440 5.441 5.442 5-443 5.444

5.445 5.446 5.447 5.448 5-449

In. x

1.6863989536 1.6865841 216 1.08S7692554 1.6869543549 1.6871394 201

1.6875244511 1.6875094479 1,6876944104 1.6878793387 1,6880642329

1,6882490929 1.6884339187 1.6886187 103 1.6888034678 1.0889881912

1.6891728805 1.6893575356 1.6895421 567 1.6897267437 1.6899112966

1.6900958 155 1.6902803003 1.6904647 511 1.6906491 679 1.6908335 506

1.6910178994 1.6912022 142 1.6913864 951 1.6915707420 1.6917549549

1.6919391339 1,6921232 791 1.6923073 903 1.6924914676 1.092675 5 n o

1.6928595 206 1.6930434963 1.6932274 382 1.6934113 462 1.6935952204

1.6937790609 1.6939628675 1.6941466404 1.6943303795 1.6945140848

1.6946977564 1.6948813 943 1.6950649984 1.6952485 688 1.6954321056

A l

1851680 1851338 1850995 1850652 1850510

1849968 1849 625 1849283 1848 942 1848 600

1848258 184791b 1847575 1847234 1846 893

1846 551 1846 211 1845 870 1845 529 1845 189

1844 848 1844 508 1844 168 1843 827 1843 488

1843 148 1842 809 1842 469 1842 129 1841 790

1841 452 1841 112 1840 773 1840434 1840096

1839757 1839 419 1839 080 1838 742 1838405

1838066 1837729 1837391 1837053 1836 716

1836379 1836041 1835 704 1835 368 1835031

- Δ 2

343 343 343 343 342

342 342 342 342 342

342 342 341 341 341

341 341 341 341 341

341 340 340 540 340

340 340 340 340 340

339 339 339 339 339

339 339 339 3 3 f 338

138 338 338 338 338

3 3 ϋ 338 338 337 337

X

5.450 5.451 5.452 5.453 5.454

5-455 5.456 5 4 5 7 <.4$8 5-459

5.460 5.461 5.462 5.463 5.464

5.465 5.466 5.467 5.468 5.469

5.470 5.471 5.472 5-473 5.474

5-^75 5.476 5.477 5.478 5.479

5.480 5-481 5.482 5.483 5.484

5.485 5.486 5.487 5.488 5.489

5-490 5.491 5.492 5-493 5-494

5-495 5.496 5-497 5.498 5-499

In x

1.6955156087 1.6957990781 1.6959825 138 1.6961659 159 1.6963492844

1.6965326 193 1.6967159205 1.6968991 882 1.6970824223 1.6972656228

1.6974487898 1.6976319232 1.6978150231 1 .6979980 894 1.6981811 223

1.6983641 216 1,6985470875 1,6987300 199 1.6989129 189 1 .6990957 844

1.6992786 164 1.6994614 151 1.6996441 803 1.6998269 122 1.7000096 106

1.7001922 757 1.7003749074 1.7005575058 1.7007400 708 1,7009226 026

1.7011051 010 1.7012875 661 1.7014699979 1.7016523 964 1.7018347617

1.7020170937 I.702IQ93925 1.7023816 581 1.7025638904 1.7027460 896

1.7029282 555 1.7031103 883 1.7032924879 1.7034745 544 1.7036565877

1.7038385879 1.7040205 549 1.7042024889 1.7043843897 1,7045662575

A l

iä34&94 1834357 1834021 1833685 1833 349

1833012 ■ 1832677

1832 341 1832 005 1831670

1831 334 1830999 1830663 1830 329 1829 993

1829659 1829 324 1828 990 1828655 1828 320

1827987 1827652 1827 3X9 1826 984 1826651

1826 317 1825 984 1825 650 1825 318 1824 984

1824651 1824318 1823 985 1823 653 1823 320

1822988 1822656 1822 323 1821 992 1821 659

1821 328 1820 996 1820665 1820333 1820 002

1819670 1819 340 1819008 1818678 1818 347

- Δ ,

337 337 336 336 336

336 336 336

336 336

33< 336

336 335 335

335 335 335 335 335

334 334 334 334 334

334 334 334 333 333

333 333 333 333 333

332 332 332 332 332

332 3*2 332 332 331

331 331 331 331 331

45

Page 54: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

5-500 5.501 5.502 5-503 5-504

5.505 5·5ο6 5.507 5.508 5.509

5-510 5 . 5 " 5.512 5 513 5-514

5.515 5·5ΐ6 5-517 5.518 5-519

5.520 5.521 5 · )22 5.Î23 5 524

5.525 5.526 5-527 5-528 5-529

5 5 3 0 5.531 5-532 5.533 5-534

5-535 5 - 5 3 6

5-537 5-538 5-539

5-540 5.541 5-542 5-543 5-544

5-545 5-546 5-547 5.548 5-549

in χ

1.70474809^2 1.7049298939 1.7051116 625 1.7052933 9 8 i

1.7054751 ο ο ί )

1.7056567702 1.7058384067 ι . 7060200 103 1.7062015 8θ9 ι.7063831 185

1.7065546232 1.7067460949 1.7069275337 ι . 7071089 396

1,7072903 126

1.7074716527 1.7076529599 1.7078342343 1.7080154758 1.7081966845

1.7083778603 1.7085590033 ι . 7087401 135 1.7089211 909 1,7091022355

1.7092832474 1.7094642265 L.70Q6451 729 ι . 7098260 865 1.7100069674

1.7101878 155 1.7103686 310 1.7105494 ΐ 3 8

1.7107301 639 1.7109108814

1.7110915 662 1.7112722 183 J.7114528378 1.7116334247 1.7118139 791

I.7H9945 °°8 1.7121749 899 ι.7123554 464 1.7125358704 1.7127162619

1.7128966 2θ8 1.7130769472 1.7132572411 Ι.7Ι34375 025 1.7136177 3Π

Δχ

1818017 1817686 1817356 1817025 ι8ι6 696

1816365 1816036 ι8ΐ5 7θ6 ι8ι5 376 ι8ΐ5 047

1814717 ι8ΐ4 388 1814059 ι8ΐ3 73° ι8ΐ3 401

1813072 ι8ΐ2 744 1812415 1812087 1811758

1811430 l 8 l l 102 ι8ιο 774 ι8ιο446 ι8ιο 119

ι8ο9 791 ι8θ9 464 ι8ο9 136 ι8ο8 8θ9 1808481

1808155 ι8θ7 828 ι8ο7 501 1807175 1806848

1806521 ι8ο6 195 ι8ο5 869 ι8ο5 544 ι8ο$ 217

ι8ο4 891 ι8ο4 565 ι8ο4 240 ι8θ3 915 ι8θ3 589

ι8ο$ 264 ι8θ2 939 1802614 ι8ο2 288 ι8οι 965

- Δ 2

331 331 331 331 330

330 330 330 330 530

330 329 3 2 9

329 329

329 329 329 329 32 9

328 328 328 328 328

328 328 328 328 328

327 327 327 327 327

327 327 327 326 326

326 326 326 326 326

325 325 325 325 325

X

5.550 1 5.551

5-552 5-553 5-554

5.555 5 .556 5.557 5.55» 5 .559

5.560 5.561 5.562 5.563 5-5^4

5 · $ ^ 5-566 5 ·5 6 7 5-568 5.569

5-570 5-571 5-572 5-573 <.574

5-575 5-576 5-577 5-578 5-579

5.58ο 5.581 5-582 5-583 5-584

5-585 5-586 5-587 5-588 5-589

5-590 5-591 5-592 5-593 5-594

5-595 5-596 5-597 5-598 5-599

1η χ

1.7137979278 1.7139780917 1.7141582232 1.7143383223 1.7145183889

1.7146984 231 1.7148784249 1.7150583943 1.7152383313 ι.7154182 360

ι.7155981 083 1.7157779 482 ί-7159577558 ι .716137S 311 1.7163172741

ι . 7164969 847 1.7166766 631 1.7168563 092 1.7170359230 1.7172155 046

1.7173950539 1.7175745710 ι.7177540 559 1-7179335 086 1.7181129291

ι.7182923 173 1,7184716735 ι .7186509 974 ι.7188302 892 1.7190095489

1.7191887764 ΐ-7ΐ93 679 7ΐ8 1-7195471351 1.7197262663 ΐ-7199053 655

1.7200844325 1.7202634675 1.7204424705 ι . 7206214 414 ι . 7208003 8θ3

ι . 7209792 872 1.7211581 620 1.7213370049 1.7215158 158 1,7216945 948

ι.7218733 4ΐ8 1.7220520568 1.7222307399 1.7224093 911 1.7225880 104

Δχ

ι8οι 639 ι8οι 315 1800991 ι8οο 666 ι8οο 342

ι8οοοι8 1799 694 17Q9 370 1799 047 1798723

1798 399 1798 076 1797 753 1797430 1797 ι°6

1796784 1796 461 1796 138 1795 8ι6 1795 493

1795 171 1794849 1794 527 1794 205 1793 882

1793 562 1793 239 1792918 1792 597 1792 275

1791 954 1791633 1791 312 1790992 1790670

17Ç0 350 1790030 1789709 1789389 1789069

1788748 1788429 1788 109 1787790 1787470

1787 150 1786 831 1786 512 1786 193 1785 873

- Δ ,

325 325 325 325 324

324 324 324 324 324

324 323 323 323 323

323 323 323 323 323

322 322 322 322 322

322 322 321 321 321

321 321 321 321 321

320 320 320 320 320

320 320 3™ 320 320

320 1 319 319 319 I 319

46

Page 55: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

5. 6oo 5.601

1 5.602 5.603 5 6 0 4

5605 5.606 5.607 5.608 5.609

5.610 5.611 5,612 5.613 5 6 1 4

5.615 5.616 5.617 5.618 5.619

5.620 5.621 5.622 5.623 5 6 2 4

5.625 5.626 5.627 5.628 5.629

5.630 5.631 5.632 5.633 5.634

$·βΑ 5.636 5-637 5.638 5-639

5.640 5.641 5.642 5-643 5-644

5.645 5-646 5.647 5.648 5.649

In x

1.7227665 977 1.7229451 532 1,7231236 768 1.7233021 686 1.7234806285

1.7236590565 1,7238374527 1.7240158 171 1.7241941497 1.7243724505

1.7245507195 1.7247289 568 1.7249071 622 1,7250853 360 1.7252634779

ι.7254415 882 ι.7256196 667 1.7257977136 1.7259757287 1.7261537 121

1,7263316639 1.7265095 840 1.7266874725 1.7268653 293 1.7270431 545

1.7272209 481 1.7273987 101 1.7275764405 1.7277541393 1.7279318 065

1.7281094 422 1.7282870 463 1,7284646 189 1.7286421 599 1.7288196 695

1.7289971475 1.7291745940 1.7293520091 1.7295293927 1.7297067 448

1.7298840655 1.7300613 548 1.7302386 126 1.7304158 390 1.7305930340

1.7307701 976 1.7309473298 1.7311244307 I.7313OI5 002 I.7314785383

* i

1785555 1785 236 1784 918 1784 599 1784280

1783 962 1783 644 1783 326 1783008 1782 690

1782 373 1782054 1781 738 1781 419 1781 103

1780 785 1780 469 1780 151 1779834 1779518

1779 201 1778885 1778 568 1778252 1777936

1777 620 1777304 1776 988 1776672 1776357

, 1776041 1775 726 1775 410 1775 096 1774 780

1774465 1774 151 1773 836 1773 521 1773207

1772893 1772578 1772264 1771 950 1771636 ■

1771 322 1771 009 1770695 1770 381 1770069

- Δ 2

319 319 319 319 319

5i8 318

H 318 318

318 318 318 318 317

317 317 317 317 317

317 317 317 316 316

316 316 316 316 ÎX6

3I6 316 316 3I5 3I5

3I5 3I5 3I5 3I5 3I5

3I5 3I5 3I4 3I4 3I4

3I4 3I4 3I4 3I4 3I3

X

5.650 5.651 5.652 5.653 5.654

5.655 5.656 5.657 5.658 5.659

5.660 5.661 5.662 5.663 5.664

5.665 5.666 5.667 5.668 5.669

5.670 5.671 5.672 5.673 5.674

5.675 5.676 5.677 5.678 5.679

5.680 5.681 5.682 5.68s 5.684

5.685 5.686 5-687 5.688 5.689

5.69c 5.691 5.692 5.693 5.694

5.695 5.696 5.697 1 5.698 5.699

In x

1.7316555452 1.7318325 206 1.7320094648 1.7321863 777 1.7323632593

1.7325401 096 1.7327169 286 1.7328937 164 1.7330704729 1.7332471982

1.7334238922 1.7336005551 1.7337771867 1.7339537871 1.7341303 564

1.7343068945 1.7344834014 1.7346598772 1.7348363 218 1.7350127 353

1.7351891 177 1.7353654 690 1.7355417892 1.7357180 783 1.7358943364

1.7360705634 1.7362467593 1.7364229 242 1.7365990 581 1.7367751 609

t.7369512 327 1.7371272 736 1.7373032834 1.7374792 623 1.7376552 102

1.7378311 272 1,7380070132 1.7381828683 1.7383586925 1.7385344858

1.738710248] 1,7388859796 1.7 3 90616 802 1.7392373500 1.7394129 889

1.7395885969 1.7397641741 1.7399397205 1.7401152 361 1.7402907 209

ài

1769754 1769442 1769 129 1768816 1768503

1768 190 1767878 1767565 1767253 1766940

1766629 1766 316 1766004 1765 693 1765 381

1765 069 1764758 1764446 1764135 1763824

1763513 1763 202 1762891 I762 581 176227O

1761 959 1761 649 1761 339 I761 028 1760 718

1760409 I76OO98 1759 789 1759479 1759 170

1758860 1758551 1758242 1757933 1757623

1757315 1757OO6 1756 698 1756 389 1756080

1755 772 1755 464 1755 156 1754848 1754539

- Δ 2

313 313 313 313 313

3X3 312 312 312 312

312 312 312 312 312

312 312 312 311 3 n

311 311 311 311 3 U

311 311 311 311 311

310 310 310 310 310

310 309 309 309 309

309 309 309 309 309

308 308 308 308 308

47

Page 56: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

5.700 5.701 5.702 5.703 5.704

5.705 5.706 5.707 5.708 5.709

5.710 5.711 5.712 5.713 5 714

5.715 5.716

5-717 5.718 5.719

5-720 5.721 5.722 5.723 5.724

5.725 5-726 5.727 5.728 5.729

5-730 5.731 5.732 5-733 5-734

5735 5 · 7 3 6

5-737 5.738 5-739

5-740 5-741 5-742 5 '743 5-744

5-745 5-746 5-747 5-748 5-749

In x

I.7404661748 I.7406415980 1.7408169905 I.7409923522 1.7411676831

1.7413429833 1.7415182528 ι . 7416934 9 1 6

1.7418686996 1.7420438 770

1.7422190 237 1.7423941 397 1.7425692251 1.7427442797 1.7429193 038

1.7430942972 1.7432692 601 1.7434441923 1.7436190939 1.7437939649

1.7439688054 1.7441436153 1.7443183946 1.7444931434 1.7446678 617

1.7448425494 1.7450172067 1.7451918 334 1.7453664297 1.7455409954

1.7457155307 1.7458900356 1.7460645 ioo 1.7462389539 1.7464133 675

1.7465877506 1.7467621 033 1.7469364256 1.7471107 176 1.7472849791

1.7474592103 1.7476334112 1.7478075817 1.7479817 219 I.7481558 3 τ 7

1.7483299113 1.7485039606 1.7486779795 1.7488519682 1.7490259266

Δ 1

1754232 1753*25 1753617 1753309 1753 002

1752695 1752388 1752080 1751774 1751467

1751i6o 1750854 1750546 1750241 1749934

L 749 629 I749 322 I749 OI6 I7487IO I7484O5

I748099 I747793 I747488 I747 l33 I746877

I746573 I746267 I745 963 1745 657 1745 353

1745 049 1744744 1744 439 1744136 1743831

1743 527 1743223 1742 920 1742615 1742312

1742009 1741 705 1741 402 1741 098 1740796

1740493 1740 189 173988; 1739584 1739282

- Δ 2

3θ8 308 308 308 307

307 307 307 307 307

307 507 307 306 300

306 306 306 30Ò 306

306 306 305 305 305

305 305 305 305 305

305 305 305 304 304

304 3°4 304 304 303

303 303 303 303 305

303 303 303 303 303

1

X

5.750 5.751 5.752 5.753 5.754

5-755 5.756 5-757 5.758 5-759

5-760 5.761 5.762 5.763 5·764

5.765 5.766 5.767 5.768 5.769

5.770 5.771 5.772 5.773 5-774

5-775 5.776 5-777 5.778 5-779

5.780 5.781 5.782 5.783 5.784

5-785 5.786 5.787 5.788 5-789

5.790 5.791 5-792 5-793 5-794

5-795 5-796 5-797 5.798 5-799

n x

1.7491998548 1.7493737527 1.7495476204 1.7497214 579 1.7498952651

1.7500690422 1.7502427890 1.7504165057 1.7505901 922 1.7507638485

1.7509374747 1.7511110708 1.7512846 367 1.7514581725 1.7516316 781

1.7518051537 1.7519785992 1.7521520 146 1.7523254000 1.7524987553

1.7526720805 1.7528453757 1.7530186409 1.7531918761 1.7533650812

1.7535382564 1.7537114 o iò 1.7538845 168 1.7540576020 1.7542306573

1.7544036827 1.7545766 781 1.7547496436 1.7549225 792 i .7550954849

1.7552683606 1.7554412066 1.7556140226 1.7557868088 1.7559595651

1.7561322 916 1.7563049882 1.7564776551 1.7566502921 1.7568228995

1.7569954768 1.7571680245 1.7573405424 1.7575130305 1.7576854889

Δι

1738979 1738677 i73 8375 1738072 1737771

1737468 , i 7 3 7 i 6 7 1736865 1736563 1736262

1735961 1735 *>59 1735358 1735056 1734756

1734455 1734154 1733854 1733553 1733252

1732952 1732652 1732352 1732051 1731752

1731452 1751152 1730852 1730553 1730254

1729954 1729655 1729355 1729057 1728757

1728460 1728 160 1727862 1727563 1727265

1726 966 T 726 669 1726 370 1726072 1725775

1725 477 1725 179 1724881 1724 584 1724287

- Δ 2

| 503 302 302 302 302

302 302 302 302 302

302 302 301 30i 301

301 301

/ 3 ° i 301 301

300 300 300 300 300

300 300 300 300 300

300 299 299 299 299

299 299 299 299 299

299 298 298 298 298

298 298 298 2Q8 298

48

Page 57: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

5.800 5.801

5.802 5.803 5 8 ° 4

5805 5.806 5.807 5.808 5.809

5.810 5.811 5.812 5.813 5.814

5815 5.81b 5 8 1 7 5.818 5 8 1 9

5.820 5.821 5.822 5.823 5 8 2 4

5.825 5.826 5.827 5.828 5.829

5.830 5.831 5.832 5 S33 5.834

5.835 5.8361 5.837 5.838 5-8-39

5.840 5.841 5.842 5.843 5.844

5.845 5.846 5.847 5.848 5.849

In x

1.7578579 176 1.7580303 165 1.7582026857 1.7583750252 1.7585473350

1.7587196 151 1.7588918 056 1.7590640864 1.7592362775 1.7594084390

1.7595805709 1.7597526731 1.7599247457 1.7(- 00967 887 1.7602688 021

1.7604407 860 1,7506127402 1.7607846 649 1.7609565 601 1.7611284257

1.7613002617 1.7614720683 1.7616438 45 3

1.7619873 109

1.7621589 995 1.7623306 585 1.7625022882 1.7626738883 1.7628454 591

1.76*30170004 1.7631885 122 1.7633599947 1.7635314478 1.7637028714

1,7638742657 1,7640456307 1.7642169 662 1.7643882 724 1.7645595493

1.7647307968 1.7649020151 1.7650732040 1.7652443636 1.7654154939

1.7655865949 1.7657576 667 1.7659287092 1.7660997 224 1.7662707065

Δ 1

-723989 1723 692 1723 395 1723 098 1722801

1722 505 I722208 I7219II 1721 6i5 1721 319

1721022 1720726 1720430 1720134

! 1719839

1719542 1719247 1718952 1718656 1718 360

1718066 1717770 1717476 1717180 1716886

1716 590 1716297 1716001 1715 708 1715413

1715 118 1714825 17*4531 1714236 1713943

1713 650 17*3355 1713062 1712769 1712475

1712183 1711 889 1711 596 I7II303 1711010

1710718 1710425 1710132 1709 841 1709547

- Δ 2

2g8 297 297 297 297

297 297 297 297 297

297 296 296 296 296

296 296 296 296 296

295 295 295 295 295

295 294 294 294 294

294 : 294 294 1 294 294

294 294 293 293 295

293 293 293 293 293

293 293 293 292 292

X

5.850 5.851 5.852 5.853 5.854

5.855 5.856 5.857 5.858 5.859

5.860 5.861 5.862 5.863 5.864

5.865 5.866 5.867 5.868 5.869

5.870 5.871 5.872 5.873 5.874

5.875 5.876 5.877 5.878 5.879

5.880 5.881 5.882 5.883 5.884 \

5.885 5.886 5.887 5.888 5.889

5.890 5.891 5.892 5.893 5.894

5.895 5.896 5.897 5.898 5.899

In x

1.7664416 612 1.7666125868 1.7667834832 1.7669543503 1.7671251883

1.7672959970 1.7674667767 1.7676375271 1.7678082484 1.7679789406

1.7681496036 1.7683202375 1.7084908 423 1.7686614180 1.7688319646

1.7690024 821 1.7691729 706 1.7693434299 1.7695138603 1.7696842616

1.7698546338 1.7700249 771 1.7701952 913 1.7703655765 1.7705358328

1.7707060 600 1.7708762583 1.77L0464276 1.7712165 680 1.7713866 794

I.77I5567619 1.7717268 155 1.7718968401 1.7720668 359 1.7722368027

1.7724067407 1.7725766498 1.7727465 300 1.7729163 814 1.7730862040

1.7732559977 1.7734257625 1.7735954986 1.7737652059 1.7739348843

1.7741045 340 1.7742741 549 1.7744437470 1.7746133 104 1.7747828450

Δ ΐ

1709256 1708964 1708671 1708 380 1708087

1707 797 1/07 504 1707213 1706922 1706630

1706339 17θ6 048 1705 757 1705 466 1705 175

1704885 1704593 1704 304 1704013 1703 722

1703433 1703 142 1702852 1702563 1702272

1701 983 1701 693 1701 404 1701 114 1700825

1700536 1700246 1699958 1699 668 1699 380

1699091 1698802 1698 514 1698 226 1697937

1697648 1697361 1697073 1696 784 1696 497

1696 209 1695 921 1695 634 1695 346 1695059

- Δ 2

292 292 292 292 292

292292291291291

2912 9 l

291 291291

291291290290290

290290290290290

290290290290290

290290290290290

289 289289289 289

288 288 288 288 288

288 288 288 288 288

49

Page 58: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

5-900 5 . 9 0 1 5 . 9 0 2 5 .903 5 .904

5 .905 5 .906 5 .907 5 .908 5 .909

5 .910 5 . 9 1 1 5 .912 5 .913 5 .914

5.915 5-9*6 5-917 5 . 9 1 8 5 .919

5 .920 5 .921 5 .922 5 .923 5 .924

5 .925 5 .920 5 . 9 2 7 9 . 9 2 8 5 .929

5-930 5 . 9 3 1 5-932 5 .933 5 . 9 3 4

5 .935 5 .936 5 . 9 3 7 5 . 9 3 8 5-939

5 . 9 4 0 5 . 9 4 1 5 . 9 4 2 5 . 9 4 3 5 . 9 4 4

5 .945 5 . 0 4 6 5 . 9 4 7 5 . 9 4 8 5 .949

In x

1 . 7 7 4 9 5 2 3 5 0 9 1 .7751218 281 1 .7752912 765 1 . 7 7 5 4 6 0 6 9 6 3 1 . 7 7 5 6 3 0 0 8 7 3

1 . 7 7 5 7 9 9 4 4 9 6 1 .7759687 8S3 1 . 7 7 6 1 3 8 0 8 8 3 1 . 7 7 6 3 0 7 3 6 4 7 1.7764766 124

1 .7766458314 1 .7768150 218 1.7769841 836 1 . 7 7 7 1 5 3 3 1 6 8 1.7773224 214

1 . 7 7 7 4 9 1 4 9 7 4 1 . 7 7 7 6 6 0 5 4 4 8 1.7778295 637 1.7779985 540 1.7781675 157

1 .778336448g 1 .7785053535 1 . 7 7 8 6 7 4 2 2 9 7 1 .7788430773 1.7790118 964

1 , 7 7 9 1 8 0 6 8 7 0 1 . 7 7 9 3 4 9 4 4 9 2 1 .7795181 828 1 .7796868 880 1 . 7 7 9 8 5 5 5 6 4 7

1.7800242 130 1 , 7 8 0 1 9 2 8 3 2 9 1 . 7 8 0 3 6 1 4 2 4 3 1 . 7 8 0 5 2 9 9 8 7 3 1.7806985 219

1 , 7 8 0 8 6 7 0 2 8 1 1.7810355 059 1 . 7 8 1 2 0 3 9 5 5 3 1 . 7 8 1 3 7 2 3 7 6 3 1.7815407 690

I . 7 8 I 7 0 9 I 3 3 4 1 .7818774 694 1 . 7 8 2 0 4 5 7 7 7 0 1 ,7822140 564 1 . 7 8 2 3 8 2 3 0 7 4

1,7825505 301 1 .7827187 246 1 . 7 8 2 8 8 6 8 9 0 7 1 . 7 8 3 0 5 5 0 2 8 6 1.7832231 382

* i

1694 772 1694 484 1694 198 1693 910 1693 623

i 6 9 3 337 1693 050 1692 764 1 6 9 2 4 7 7 1692 190

1691 904 1691 618 1691 332 1691 046 1690 760

1 6 9 0 4 7 4 1690 189 1689 903 1 6 8 9 6 1 7 1689 332

1689 046 1688 762 1688 476 1688 191 1687905

1687 622 1687 336 1687 052 1686 7Ò7 1686 483

1686 199 1685 Q14 1685 630 1685 346 1685 062

1684 778 1684 494 1684 210 1683 927 1683 644

1683 360 1683 076 1682 794 1682 510 1682 227

1681 045 1681 6 6 i 1681 579 1681 096 1 6 8 0 8 1 4

- Δ 2

288 287 287 287 287

287 287 287 287 286

286 286 286 286 286

286 286 286 286 286

285 285 285 285 285

285 285 285 284 284

284 284 284 284 284

284 284 284 284 284

284 283 283 283 283

283 283 283 283 283

·*

5 . 9 5 0 1 5-951

5-952 5-953 5-954

5-955 5-956 5-957 5-958 5-959

5 . 9 6 0 5 . 9 6 1 5 .962 5 .963 5 . 9 6 4

5 - 9 6 5 5 .966 5 .967 5 . 9 6 8 5 .969

5 .970 5 .971 5 . 9 7 2 5 .973 5-974

5-975 5 . 9 7 6 5 .977 5 . 9 7 8 5-979

5 . 9 8 0 5 .981 5 ,982 5 .983 5 .984

5 .985 5 .986

V 9 8 7 5 . 9 8 8 5 .989

5 .990 5 .991 5 .992 5-993 5 .994

5 .905 5 .996 5 . 9 9 7 5 . 9 9 8 5-999

In x

1.7833912 196 1 . 7 8 3 5 5 9 2 7 2 7 1 .7837272975 1 . 7 8 3 8 9 5 2 9 4 2 1 . 7 8 4 0 6 3 2 6 2 6

1 . 7 8 4 2 3 1 2 0 2 8 1 .7843991 148 1.7845669 986 1 . 7 8 4 7 3 4 8 5 4 3 1 . 7 8 4 9 0 2 6 8 1 8

1.7850704 811 1 .7852382 522 1 . 7 8 5 4 0 5 9 9 5 3 1 . 7 8 5 5 7 3 7 1 0 1 1 .7857413 969

t . 7859090 555 1.7860766 861 1 .7862442885 1 . 7 8 6 4 1 1 8 6 2 9 1 . 7 8 6 5 7 9 4 0 9 2

1 .7867469 274 1 .7869144 176 1 . 7 8 7 0 8 1 8 7 9 7 1 . 7 8 7 2 4 9 3 1 3 8 1.7874167 198

1 . 7 8 7 5 8 4 0 9 7 8 1.7877514 478 1 . 7 8 7 9 1 8 7 6 9 8 1 .7880860 539 1 . 7 8 8 2 5 3 3 2 9 9

1.7884205 680 1 . 7 8 8 5 8 7 7 7 8 1 1 . 7 8 8 7 5 4 9 6 0 2 1.7889221 144 1.7890892 407

1.7892563 390 1.7894234 094 1 . 7 8 9 5 9 0 4 5 1 9 1.78975 74 £66 1 .7899244533

1 .7900914 121 1 .7902583 431 1 . 7 9 0 4 2 5 2 4 6 2 1.7905921 215 1 . 7 9 0 7 5 8 9 6 8 9

1 .7909257885 1.7910925 802 1 .7912593 442 1 . 7 9 1 4 2 6 0 8 0 3 1 . 7 9 1 5 9 2 7 8 8 7

Δι

i 6 8 o 531 1 6 8 0 2 4 8 1 6 7 9 9 6 7 1 6 7 9 6 8 4 1679 402

1679 120 1 6 7 8 8 3 8 1 6 7 8 5 5 7 1678 275 1677 993

1677 711 1 6 7 7 4 3 1 1677 148 1676 868 1676 586

1676 306 1676 024 1675 744 1675 463 1675 1.82

1674 9©2 1 6 7 4 6 2 1 1674 341 1674 060 1673 780

1673 500 1673 220 1672 941 1 6 7 2 6 6 0 1672 381

1072 101 I 6 7 I 821 I 6 7 1 5 4 2 I 6 7 I 2 6 } 1670983

1570 704 1670425 1 6 7 0 1 4 7 1669 867 1 6 6 9 5 8 8

ι 5 5 ς 310 1 6 6 9 0 3 1 1 6 6 8 7 5 3 i 6 6 8 474 1668 196

1 6 6 7 9 1 7 1 6 6 7 6 4 0 1667 361 1 6 6 7 0 8 4 1666 805

- Δ 2

283 282 2-82 282 282

282 282 282 282 282

2 8 l 281 281 281 281

281 281 281 281 281

281 281 1 281 I 280 280

280 280 280 280 280 1

280 280 280 I 280 I 279

'27Q I 279 I 279 279 279

279 279 279 279 279

278 278 278 278 278

50

Page 59: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

6.000 6.00I 6.002 6.003 6.004

6.005 6,oo6 6.007 6.008 6.009

6.010 6.on 6.012 6,013 6.014

6.015 6.016 6.017 6.018 6.019

6.020 6.021 6,022 6.023

6.024

6.025 6.026 6.027

6,028 6.029

6,030 6.031 6.032

6.033 6.034

6.036 6.037 6,038 6.039

6,040 6,041

6,042 6.043 6.044

6,045 6,046 6,047 6,048

6.049

In x

i-79I7S94 692 1.7919261 220 1.7920927470 1.7922593443 1.7924259 138

1.7925924555 1.7927589696 1.7929254559 1.7930919145 i.7932583 454

1.7934247485 1.7935911 241 i.7937$74 7i9 1.7939237921 1.7940900 846

1.7942563494 i . 7944225 866 1.7945887962 1.7947549782 1.7949211 326

1.7950872593 1.7952533585 1.7954194 301 1.7955854741 1.7957514 905

1.7959174 794 1.7960834407 1.7962493745 1.7964152 808 1.7965811 595

1 ."957470107 1.7969128 345 1,7970786307 1.7972443995 1.7974101407

1.797575*545 1.7977415409 1.7979071 998 1.7980728 313 1.7982384353

1.7984040 119 1.7985695 612 1.7987350830 1.7989005774 1,7990660 444

1.7992314 841 1,7993968964 1.7995622 813 1,7997276389 1.7998929 691

Δ*

1666 528 1666 250 1665 973 1665 695 1665 417

1665 141 1664 863 1664586 1604 309 1664 031

1663 75b 1663 478 1663 202 1662 925 1662 648

1662 372 1662 096 1661 820 1661 544 1661 267

1660992 1660 716 1660440 1660 164 1659889

1659 613 1659338 1659063 1658 787 1658 512

1658238 1657962 1657688 1657 412 1657 138

1656864 1656 589 1656315 1656040 1655766

E655 493 1655218 1654944 1654670 1654397

1654 123 1653849 1653 576 1653 302

! 1653029

- Δ ,

278 278 278 278 277

277 277 277 277 277

277 277 277 277 276

276 276 276 276 276

276 276 276 276 276

276 276 276 276 275

275 275 275 275 274

274 274 274 274 274

274 274 274 274 274

274 274 274 273

1 273

X

6.050 6.051 6.052 6.053 6.054

6.055 6.056 6.057 6.058 6.059

6.of'o 6.061 6.062 6.063 6.0^4

6,065 6,066 6.067 6.068 6.069

6.070 6,071 6,072 6.073 6.074

6.075 6.076 6.077

! 6.078 6,079

6.080 6.081 6.082 6.083 6,084

6,085 6,o85 6.087 6.088 6,089

6.090 6,091 6,092 6,093 6.094

6,095 6,096 6,097 6.098 6.099

In x

1.8000582 72c 1.8002235 476 1.8003887959 1.8005540 169 1.8007192 106

1.8008843 770 1.8010495 161 1.8012146 280 1.8013797 126 1.8015447700

1.8017098 001 1,8018748030 1.8020397786 1.8022047 271 1.8023696483

1.8025345424 1.8026994093 1.8028642490 1.8030290615 1.8031938469

1,8033586051 1.8035233 361 1.8036880401 1.8038527 169 1.8040173 666

1.8041819 892 1,8043465847 1.8045111532 1.8046756945 1.8048402088

1.8050046960 1.8051691 561 1.8053335893 1.8054979953 1.8056623 744

1.8058267264 1.8059910 515 1,8061553495 1.8063196206 1.8064838646

1.8066480 817 1.8068122 719 1,8069764350 1.8071405 713 1.8073046 806

1,8074687629 1.8076328184 1.8077968469 1.8079608 486 1.8081248233

Δ ,

1652756 1652483 1652 210 1651937 1651 664

1651 391 1651 119 1650846 1650574 1650 301

1650029 1649 756 1649 485 1649 212 1648 941

1648669 1648 397 1648 125 1647854 1647582

1647 310 1647040 1646 768 1646 497 1646 226

1645955 1645 685 1645413 1645 143 1644872

1644 601 1S44332 1644060 1643 791 1643 520

1643 251 1642 980 1642 711 1642 440 1642 171

1541 902 1641 631 I64I 363 1641 0Q3 1640 823

1640555 1640285 1640 017 1639 747 1639479

- Δ 2

273 273 273 275 273

273 273 273 273 273

273 272 272 272 272

272 272 272 272 272

271 271 271 271 271

271 271 271 271 271

270 270 270 270 270

270 270 270 270 270

270 269 269 269 269

269 269 269 269 269

1

Page 60: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6 . 1 0 0 6 . 1 0 1 6 . 1 0 2 6 . 1 0 3 6 . 1 0 4

6 .105 6 . 1 0 6 6 . 1 0 7 6 . 1 0 8 6 . 1 0 9

6 . 1 1 0 6 .111 6 . 1 1 2 6 . 1 1 3 6 . 1 1 4

6 .115 6 . 1 1 6 6 . 1 1 7 6 . 1 1 8 6 . 1 1 9

6 . 1 2 0

6 . 1 2 2 6 . I 2 3 6 . 1 2 4

6 .125 6 . 1 2 0 6 . 1 2 7 6 . 1 2 8 6 . 1 2 9

6 . 1 3 0 6 .131 6 . 1 3 2 6 . 1 3 3 6 . 1 3 4

6 .135 6 . 1 3 6 6 . 1 3 7 6 . 1 3 8 6 . 1 3 9

6 . M o 6 . 1 4 1 6 . 1 4 2 6 . 1 4 3 6 . 1 4 4

6 .145 6 . 1 4 6 6 . 1 4 7 6 . 1 4 8 6 . 1 4 9

In x

1 . 8 0 8 2 8 8 7 7 1 2 1 , 8 0 8 4 5 2 6 9 2 2 i . 8 0 8 6 1 6 5 863 1 . 8 0 8 7 8 0 4 5 3 6 1 .8089442 940

1 , 8 0 9 1 0 8 1 0 7 6 1 .8092718 943 1 .80Q4356542 1 . 8 0 9 5 9 9 3 8 7 4 1 . 8 0 9 7 6 3 0 9 3 7

1 . 8 0 9 9 2 6 7 7 3 2 1 .8100904 259 1 .8102540 519 1 . 8 1 0 4 1 7 6 5 1 0 1 .8105812 235

1 .8107447 691 1 . 8 1 0 9 0 8 2 8 8 1 1 . 8 1 1 0 7 1 7 8 0 3 1 , 8 1 1 2 3 5 2 4 5 7 1 .8113986 845

1 . 8 1 1 5 6 2 0 9 6 5 1 . 8 1 1 7 2 5 4 8 1 9 1 .8118888 405 1 .8120521 725 1 .8122154 778

1 , 8 1 2 3 7 8 7 5 6 4 1 . 8 1 2 5 4 2 0 0 8 4 1 . 8 1 2 7 0 5 2 3 3 7 1 .8128684 324 1 . 8 1 3 0 3 1 6 0 4 5

1 . 8 1 3 1 9 4 7 4 9 9 1 .8133578 688 1 , 8 1 3 5 2 0 9 6 1 0 1 .8136840 266 1 . 8 1 3 8 4 7 0 6 5 7

1 . 8 1 4 0 1 0 0 7 8 2 1 . 8 1 4 1 7 3 0 6 4 1 1 . 8 1 4 3 3 6 0 2 3 4 1 .8144989 562 1 .8146618 624

1 . 8 1 4 8 2 4 7 4 2 2 1 .6Ί49875953 1 .8151504 220 1 .8153132 222 1 .8154759 958

I . 8 1 5 6 3 8 7 4 3 O I . 8 1 5 8 0 1 4 6 3 7 I . 8 1 5 9 6 4 1 5 7 9 I . 8 1 6 1 2 6 8 2 5 7 I . 8 1 6 2 8 9 4 6 7 O

A l

16392IO 1638 941 1 6 3 8 6 7 3 1638 404 1638 136

1 6 3 7 8 6 7 1 6 3 7 5 9 9 1 6 3 7 3 3 2 1637063 1636 795

1636 527 1 6 3 6 2 6 0 1 6 3 5 9 9 1 1635 725 1 6 3 5 4 5 6

1635 190 1 6 3 4 9 2 2 1 6 3 4 6 5 4 1634 388 1634 120

1 6 3 3 8 5 4 1633 586 1633 329 1 6 3 3 0 5 3 1632 786

1632 520 1 6 3 2 2 5 3 1 6 3 1 9 8 7 1631 721 1 6 3 1 4 5 4

1631 189 1 6 3 0 9 2 2 1 6 3 0 6 5 6 1630391 1630 125

1 6 2 9 8 5 9 1 6 2 9 5 9 3 1629 328 1 6 2 9 0 6 2 1628 798

1628 531 1628 267 1628 002 1627 736 1 6 2 7 4 7 2

1627 207 1626 942 1626 678 1 6 2 6 4 1 3 1626 148

- Δ 2

269 269 269 269 269

269 268 268 268 268

268 268 268 268 267

267 267 267 267 267

2ö7 267 267 267 267

267 266 266 266 266

266 266 266 266 266

266 266 266 265 265

265 265 265 265 265

265 265 265 265 264

X

6 . 1 ) 0 6 . 1 5 1 6 . 1 5 2 6 . 1 5 3 6 . 1 5 4

6 .155 6 , i 5 6 6 . 1 5 7 6 , 1 5 8 6 . 1 5 9

6 , 1 6 0 6 . 1 6 1 6 . 1 6 2 6 . 1 6 3 6 . 1 6 4

6 .165 6 . 1 6 6 6 . 1 6 7 6 . 1 6 8 6 . 1 6 9

6 . 1 7 0 6 . 1 7 1 6 . 1 7 2 6 . 1 7 3 6 . 1 7 4

6 .175 6 . 1 7 6 6 . 1 7 7 6 . 1 7 8 6 . 1 7 9

6 . 1 8 0 6 .181 6 . 1 8 2 6 . 1 8 3 6 . 1 8 4

6 .185 6 . 1 8 6 6 . 1 8 7 6 . 1 8 8 6 , 1 8 9

6 . 1 9 0 6 . 1 9 1 6 . 1 9 2 6 . 1 9 3 6 . 1 9 4

6 .195 6 . 1 9 6 6 . 1 9 7 6 . 1 9 8 6 . 1 9 9

In x

1 . 8 1 6 4 5 2 0 8 1 8 1 . 8 1 6 6 1 4 6 7 0 2 1 . 8 1 6 7 7 7 2 3 2 2 1 . 8 1 6 9 3 9 7 6 7 8 1 . 8 1 7 1 0 2 2 7 6 9

1 . 8 1 7 2 6 4 7 5 9 6 1 . 8 1 7 4 2 7 2 1 6 0 1 . 8 1 7 5 8 9 6 4 5 9 1 . 8 1 7 7 5 2 0 4 9 5 1 . 8 1 7 9 1 4 4 2 6 7

1 . 8 1 8 0 7 6 7 7 7 5 1 . 8 1 8 2 3 9 1 0 2 0 1 . 8 1 8 4 0 1 4 0 0 2 1 . 8 1 8 5 6 3 6 7 2 0 1 .8187259 175

1 .8188881 366 1 .8190503 295 1 . 8 1 9 2 1 2 4 9 6 0 1 .8193746 363 1 .8195367 502

1 .8196988 379 1 .8198608 993 1 . 8 2 0 0 2 2 9 3 4 5 1 . 8 2 0 1 8 4 9 4 3 4 1 .8203469 261

1 .8205088825 1 .8206708 127 1 .8208327 167 t . 8209945 945 1 . 8 2 1 1 5 6 4 4 6 1

1 .8213182 715 1 . 8 2 1 4 8 0 0 7 0 7 1 . 8 2 1 6 4 1 8 4 3 7 1 .8218035 906 1 ,8219653 113

1 . 8 2 2 1 2 7 0 0 5 8 1 .8222886 743 1 .8224503 165 1 .8226119 327 1,8227735 228

1 . 8 2 2 9 3 5 0 8 6 7 1 . 8 2 3 0 9 6 6 2 4 5 1 .8232581 363 1 .8234196 220 1 . 8 2 3 5 8 1 0 8 1 6

1.8237425 151 1 .8239039 226 1 . 8 2 4 0 6 5 3 0 4 0 1 .8242266 594 1 . 8 2 4 3 8 7 9 8 8 7

Δ 1

1625 884 1625 620 1 6 2 5 3 5 6 1625 091 1624 827

1624 564 1624 299 1 6 2 4 0 3 6 1623 772 1623 5°8

1623 245 1 6 2 2 9 8 2 1622 718 1622455 1622 191

1621 929 1621 665 1621 403 1621 139 1 6 2 0 8 7 7

1 6 2 0 6 1 4 1620 352 1 6 2 0 0 8 9 1 6 1 9 8 2 7 1619 564

1619 302 1 6 1 9 0 4 0 1618778 1 6 1 8 5 1 6 1 6 1 8 2 5 4

1 6 1 7 9 9 2 1617 730 1 6 1 7 4 6 9 1 6 1 7 2 0 7 1616945

1616685 1616 422 1616 162 1615 901 1615 639

1615378 1615 118 1 6 1 4 8 5 7 1614 596 1614335

1614075 1 6 1 3 8 1 4 1 6 1 3 5 5 4 1613 293 1 6 1 3 0 3 4

- Δ 2

264 264 264 264 264

264 264 264 264 263

263 263 263 263 263

263 263 263 2Ö2 262

262 2Ö2 262 262 262

2Ö2 2Ö2 262 262 2Ô2

2Ö2 262 262 2Ô22Ó1

26 l261 261 261261

261261261 261 261

261261261260 260

52

Page 61: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6 . 2 0 0 6 . 2 0 1 6 . 2 0 2

6.2Ο3 6 . 2 0 4

6 .205 6 . 2 0 6 6 . 2 0 7 6 . 2 0 8 6 . 2 0 9

6 . 2 1 0 6 . 2 1 1 6 . 2 1 2 6 . 2 1 3 6 . 2 1 4

6 .215 6 . 2 1 6 6 . 2 1 7 6 . 2 1 8 6 . 2 1 9

6 . 2 2 0 6 . 2 2 1 6 . 2 2 2 6 . 2 2 3 6 . 2 2 4

6 .225 6 . 2 2 6 6 . 2 2 7 6 . 2 2 8 6 , 2 2 9

6 , 2 3 0 6 . 2 3 1 6 . 2 3 2 6 . 2 3 3 6 . 2 3 4

6 . 2 3 5 6 . 2 3 6 6 . 2 3 7 6 . 2 3 8 6 . 2 3 9

6 . 2 4 0 6 . 2 4 1 6 . 2 4 2 6 . 2 4 3 6 . 2 4 4

6 .245 6 . 2 4 6 6 . 2 4 7 1 6 . 2 4 8 I 6 . 2 4 9

In x

1 . 8 2 4 5 4 9 2 9 2 1 1 .8247105 694 1 .8248718 207 1 . 8 2 5 0 3 3 0 4 6 0 1 .8251942 453

1 . 8 2 5 3 5 5 4 1 8 7 1.8255165 660 1 . 8 2 5 6 7 7 6 8 7 4 1 . 8 2 5 8 3 8 7 8 2 9 1 .8259998 524

1 .8261608 959 1 .8263219 136 1 . 8 2 6 4 8 2 9 0 5 3 1 .8266438 711 1 .8268048 110

1 . 8 2 6 9 6 5 7 2 5 0 1 ,8271266 131 1 . 8 2 7 2 8 7 4 7 5 3 1 .8274483 n 6 1 .8276091 221

1 . 8 2 7 7 6 9 9 0 6 8 1 . 8 2 7 9 3 0 6 6 5 5 1 . 8 2 8 0 9 1 3 9 8 5

1 . 8 2 8 4 1 2 7 8 6 9

1 . 8 2 8 5 7 3 4 4 2 4 1 , 8 2 8 7 3 4 0 7 2 0 1 . 8 2 8 8 9 4 6 7 5 9 1 .8290552 540 1 . 8 2 9 2 1 5 8 0 6 3

1 .8293763 328 1 .8295368 336 1 .8296973 086 1 . 8 2 9 8 5 7 7 5 / 8 1 .8300181 813

1 .8301785 7 9 1

1.8303389 512 1 , 8 3 0 4 9 9 2 9 7 $ 1 .8306596 182 1 .8308199 131

1 .8309801 824 1 .8311404 260 1 . 8 3 1 3 0 0 6 4 3 8 1 .8314608 361 1 . 8 3 1 6 2 1 0 0 2 7

1 .8317811 436 1 .8319412 589 1 .8321013485 1 .8322614 125 1 .8324214 509

Δ 1

i 6 i 2 773 1612 513 1 6 1 2 2 * 3 1611 993 1611 734

1 6 1 1 4 7 3 1 6 1 1 2 1 4 1 6 1 0 9 5 5 1 6 1 0 6 9 5 1 6 1 0 4 3 5

1610 177 1609 917 1609 658 1609 399 1609 140

1 6 0 8 8 8 1 1608 622 1608 363 1608 105 1 6 0 7 8 4 7

1607 587 1607 330 1 6 0 7 0 7 1 1 6 0 6 8 1 3 1606 555

1 6 0 6 2 9 6 1 6 0 6 0 3 9 1605 781 1605 523 1605 265

1 6 0 5 0 0 8 1604 750 1 6 0 4 4 9 2 1 6 0 4 2 3 5 1603 978

1603 721 1603 463 1603 207 1 6 0 2 9 4 9 1602 693

1 6 0 2 4 3 6 1602 178 1601 923 1601 666 1601 409

1601 153 1 6 0 0 8 9 6 1 6 0 0 6 4 0 1600 384 1600 128

- Δ 2

2Ó0 2ÒC 26θ 2 6 0 260

259 259 259 259 259

259 259 259 259 259

259 259 259 259 259

258 258 258 258 258

258 258 258 258 258

258 258 258 258 258

2 5 7 257 257 2$7 2$7

2$ 7 256 256 256 256

256 256 256 256 256

X

6 . 2 5 0 6 . 2 5 1 6 . 2 5 2 6 . 2 5 3 6 . 2 5 4

6 .255 6 . 2 5 6 6 . 2 5 7 6 . 2 5 8 6 . 2 5 9

6 . 2 6 0 6 . 2 6 1 6 . 2 6 2 6 . 2 6 3 6 . 2 6 4

6 . 2 6 5 6 : 2 6 6 6 . 2 6 7 6 . 2 6 8 6 . 2 6 9

6 . 2 7 0 6 . 2 7 1 6 . 2 7 2 6 . 2 7 3 6 .274

6 . 2 7 5 6 . 2 7 6 6 . 2 7 7 6 . 2 7 8 6:279

6 . 2 8 0 6 . 2 8 1 6 . 2 8 2 6 . 2 8 3 6 .284

6 . 2 8 5 6 . 2 8 6 6 . 2 8 7 6 . 2 8 8 6 . 2 8 9

6 . 2 9 0 6 . 2 9 1 6 . 2 9 2 6 . 2 9 3 6 . 2 9 4

6 . 2 9 5 6 . 2 9 6 6 . 2 9 7 6 . 2 9 8 6 . 2 9 9

In x

1 .8325814 037 1 . 8 3 2 7 4 1 4 5 0 9 1 . 8 3 2 9 0 1 4 1 2 6 1 . 8 3 3 0 6 1 3 4 8 6 1 . 8 3 3 2 2 1 2 5 9 0

1 . 8 3 3 3 8 1 1 4 3 9 1 . 8 3 3 5 4 1 0 0 3 2 1 . 8 3 3 7 0 0 8 3 7 c 1 . 8 3 3 8 6 0 6 4 5 2 1 . 8 3 4 0 2 0 4 2 7 9

1 .8341801 851 1 . 8 3 4 3 3 9 9 1 6 8 1 . 8 3 4 4 9 9 6 2 2 9 1 . 8 3 4 6 5 9 3 0 3 5 1 . 8 3 4 8 1 8 9 5 8 7

1 . 8 3 4 9 7 8 5 8 8 3 1 .8351381 925 i . 8 3 $ 2 9 7 7 7 i 2 i . 8 3 5 4 $ 7 3 24$ 1 .8356168 523

1 . 8 3 ^ 7 7 6 3 5 4 6 1 . 8 3 5 9 3 5 8 3 1 6 1 . 8 3 6 0 9 5 2 8 3 0 1 . 8 3 6 2 5 4 7 0 9 1 i . 8 3 6 4 1 4 1 098

1 . 8 3 6 5 7 3 4 8 5 0 1 . 8 3 6 7 3 2 8 3 4 9 1 .8368921 593 1 . 8 3 7 0 5 1 4 5 8 4 i . 8 3 7 2 1 0 7 321

1 . 8 3 7 3 6 9 9 8 0 5 1 .8375292035 1 .8376884 011 1 . 8 3 7 8 4 7 5 7 3 4 1 . 8 3 8 0 0 6 7 2 0 4

1 . 8 3 8 1 6 5 8 4 2 0 1 . 8 3 8 3 2 4 9 3 8 4 1 . 8 3 8 4 8 4 0 0 9 4 1 .8386430 551 Ϊ . 8 3 8 8 0 2 0 756

1 .8389610 707 1 . 8 3 9 1 2 0 0 4 0 6 1 . 8 3 9 2 7 8 9 8 5 2 1 . 8 3 9 4 3 7 9 0 4 5 i . 8 3 9 5 9 6 7 986

1 . 8 3 9 7 5 5 6 6 7 5 1 .8399145 111 1 . 8 4 0 0 7 3 3 2 9 5 1 .8402321 227 1 . 8 4 0 3 9 0 8 9 0 6

*.

1 5 9 9 8 7 2 1 5 9 9 6 1 7 i$99 36o 1599 104 1 5 9 8 8 4 9

1 5 9 8 5 9 3 1 5 9 8 3 3 8 1 5 9 8 0 8 2 1 5 9 7 8 2 7 1 5 9 7 5 7 2

1 5 9 7 3 1 7 1 5 9 7 0 6 1 1 5 9 6 8 0 6 1 5 9 6 5 5 2 1 5 9 6 2 9 6

1 5 9 6 0 4 2 1 5 9 5 7 8 7 i $ 9 $ $ 3 3 1 5 9 5 2 7 8 1595 023

1 $94 7 7 0 — 1 5 9 4 5 1 4 1 5 9 4 2 6 1 1 5 9 4 0 0 7 1593 752

i $ 9 3 499 1 5 9 3 2 4 4 1592 991 1 5 9 2 7 3 7 1 5 9 2 4 8 4

1592 230 1 5 9 1 9 7 6 1591 723 1 5 9 1 4 7 0 1591 216

1 5 9 0 9 6 4 1590 710 i $ 9 0 4 $ 7 1 5 9 0 2 0 5 1 5 8 9 9 5 1

1 5 8 9 6 9 9 1 5 8 9 4 4 6 1 5 8 9 1 9 3 1 5 8 8 9 4 1 1 5 8 8 6 8 9

1 5 8 8 4 3 6 1 5 8 8 1 8 4 1 5 8 7 9 3 2 1 5 8 7 6 7 9 1 5 8 7 4 2 8

- Δ 2

256 256 256 256 2 ) 6

256 2 ; 6 255 2$5 25$

2$$ 2$$ 2$$ 2$$ 2$$

2$$ 2$$ 2$$ 2$$ 2$4

- 254 2$4 2$4 2$4 2$4

254 254 2$4 2$4 2$4

2$4 2$3 2$3 2$3 2$3

2$32$3 2$3 2$3 2$3

2$3 2$3 2$3 2$3 2$3

252252252252252

53

Page 62: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6 . 3 0 0 6 . 3 0 1 6., 302 6 , 3 0 3 6 . 3 0 4

6 .305 6 .30b 6 . 3 0 7 6 . 3 0 8 6 . 3 0 9

6 , 3 1 0 6 . 3 1 1 6 . 3 1 2 6 . 3 1 3 6 . 3 1 4

6 .315 6 . 3 1 6 6 . 3 1 7 6 . 3 1 8 6 . 3 1 9

6 . 3 2 0 6 . 3 2 1 6 . 3 2 2 6 . 3 2 3 6 . 3 2 4

6 .325 6 . 3 2 6 6 . 3 2 7 6 . 3 2 8 6 . 3 2 9

6 . 3 3 0 1 6 . 3 3 1 6 . 3 3 2 6 . 3 3 3 6.334

6.335 6.336 6.337 6.338 6.339

6 . 3 4 0 6 . 3 4 1 6 . 3 4 2 6 . 3 4 3 6 . 3 4 4

6 .345 6 . 3 4 6 6 . 3 4 7 6 , 3 4 8 6 . 3 4 9

In x

1 . 8 4 0 5 4 9 6 3 3 4 1.8407083 510 1 . 8 4 0 8 6 7 0 4 3 3 1 .8410257 105 1.841182Π 126

1.8413429 694 1.8415015 612 1 .8416601 277 1 .8418186 691 1 . 8 4 1 9 7 7 1 8 5 4

1 .8421356 766 1 .8422941 426 1 .8424525835 1 . 8 4 2 6 1 0 9 9 9 4 1 . 8 4 2 7 6 9 3 9 0 1

1 , 8 4 2 9 2 7 7 5 5 8 1 . 8 4 3 0 8 6 0 9 6 4 1 .8432444 119 1 . 8 4 3 4 0 2 7 0 2 4 1 . 8 4 3 5 6 0 9 6 7 8

1.8437192 082 1 . 8 4 3 8 7 7 4 2 3 5 1 .8440356 138 1 .8441937 7 9 1

1.8443519 193

1 .8445100 346 1 .8446681 249 1 .8448261 902 1.8449842 305 1 . 8 4 5 1 4 2 2 4 5 8

1.8453002 362 1 . 8 4 5 4 5 8 2 0 1 6 1 . 8 4 5 6 1 6 1 4 2 0 1 .8457740575 1 . 8 4 5 9 3 1 9 4 8 1

1 .8460898 158 1 .8462476 545 1 .8464054 703 1 .8465632 613 1 . 8 4 6 7 2 1 0 2 7 3

1 , 8 4 6 8 7 8 7 6 8 4 1 . 8 4 7 0 3 6 4 8 4 7 1 .8471941 761 1 .8473518 427 1 . 8 4 7 5 0 9 4 8 4 3

1 .8476671 012 I . 8 4 7 8 2 4 6 9 3 2 I . 8 4 7 9 8 2 2 603 1.8481398 027 I . 8 4 8 2 9 7 3 202

* l

1 5 8 7 1 7 6 I 5 8 6 9 2 3 I 5 8 6 6 7 2 I586 4 2 1 . 1 5 8 6 1 6 8

I 5 8 5 9 1 8 1585 665 I585 414 I585 163 I 5 8 4 9 1 2

1 5 8 4 6 6 0 1 5 8 4 4 0 9 1 5 8 4 1 5 9 1 5 8 3 9 0 7 I 5 8 3 6 5 7

I 5 8 3 4 0 6 I 5 8 3 1 5 5 1582905 I 5 8 2 6 5 4 1 5 8 2 4 0 4

I 5 8 2 1 5 3 1581 903 1 5 8 1 6 5 3 1581 402 I 5 8 I 1 5 3

1 5 8 0 9 0 3 1 5 8 0 6 5 3 1 5 8 0 4 0 3 1 5 8 0 1 5 3 1 5 7 9 9 0 4

1 5 7 9 6 5 4 1 5 7 9 4 0 4 1 5 7 9 1 5 5 1 5 7 8 9 0 6 1 5 7 8 6 5 7

1 5 7 8 4 0 7 1 5 7 8 1 5 8 1 5 7 7 9 1 0 1 5 7 7 6 6 0 I 5 7 7 4 I I

1 5 7 7 1 6 3 1 5 7 6 9 1 4 1 5 7 6 6 6 6 1576 416 1576 169

157592c 1 5 7 5 6 7 1 1 5 7 5 4 2 4 1575 175 1 5 7 4 9 2 7

- Δ 2

252 252 252 2 5 ' 252

252 251 251 2 5 I 251

251 251 251 251 251

251 251 251 2 5 I 25I

25Ο 25Ο 25Ο 25Ο 25Ο

250 25Ο 250 25Ο 25Ο

250 249 249 249 249

249 249 249 249 249

249 249 249

' 248 248

248 248 248 248 248

X

6 . 3 5 0 6 . 3 5 1 6 . 3 5 2 6 . 3 5 3 6 -354

6 .355 6 . 3 5 6 6 -357 6 . 3 5 8 6 . 3 5 9

6 . 3 6 0 6 . 3 6 1 6 . 3 6 2 6 . 3 6 3 6 . 3 6 4

6 .365 6 . 3 6 6 6 . 3 6 7 6 . 3 6 8 6 . 3 6 9

6 . 3 7 0 6 . 3 7 1 6 . 3 7 2 6 -373 6 -374

6 .375 6 . 3 7 6 6 . 3 7 7 6 . 3 7 8 6 . 3 7 9

6 . 3 8 0 6 . 3 8 1 6 . 3 8 2

• 6 . 3 8 3 6 . 3 8 4

6 . 3 8 5 6 . 3 8 6 6 . 3 8 7 6 . 3 8 8 6 , 3 8 9

6 . 3 9 0 6 . 3 9 1 6 . 3 9 2 6 . 3 9 3 6 . 3 9 4

6-395 6 . 3 9 6 6 - 3 9 7 6 . 3 9 8 6 -399

In x

1.8484548 129 1 . 8 4 8 6 1 2 2 8 0 8 1 . 8 4 8 7 6 9 7 2 3 9 1.8489271 423 1.8490845 358

1 . 8 4 9 2 4 1 9 0 4 6 1 . 8 4 9 3 9 9 2 4 8 7 1.8495565 680 i . 8 4 9 7 1 3 8 625 1 . 8 4 9 8 7 1 1 3 2 3

1.8500283 774 1 . 8 5 0 1 8 5 5 9 7 7 1 . 8 5 0 3 4 2 7 9 5 3 1 . 8 5 0 4 9 9 9 6 4 3 1.8506571 105

1.8508142 320 1 ,8509713 289 1 . 8 5 I I 2 8 4 0 1 0 1 . 8 5 1 2 8 5 4 4 8 5 1 .8514424 714

1 . 8 5 1 5 9 9 4 6 9 6 1 . 8 5 1 7 5 6 4 4 3 1 1,8519133 920 1 . 8 5 2 0 7 0 3 1 6 3 1.8522272 160

1 . 8 5 2 3 8 4 0 9 1 0 1 .8525409415 1 . 8 5 2 6 9 7 7 6 7 3 1.8528545 686 1 . 8 5 3 0 1 1 3 4 5 3

1 . 8 5 3 1 6 8 0 9 7 4 1 . 8 5 3 3 2 4 8 2 4 9 1.8534815 279 1 .8536382063 1 . 8 5 3 7 9 4 8 6 0 1

1 .8539514895 1 .8541080 943 1 .8542646 746 1 . 8 5 4 4 2 1 2 3 0 4 1 . 8 5 4 5 7 7 7 6 1 6

1 . 8 5 4 7 3 4 2 6 8 4 1 . 8 5 4 8 9 0 7 5 0 7 1 .8550472085 1 . 8 5 5 2 0 3 6 4 1 8 1.8S53600 506

1 . 8 5 5 5 1 6 4 3 5 0 1 . 8 5 5 6 7 2 7 9 5 0 1.8558291 305 1 .8559854415 1 . 8 5 6 1 4 1 7 2 8 2

* 1

1 5 7 4 6 7 9 1 5 7 4 4 3 1 1 5 7 4 1 8 4 1573935 1 5 7 3 6 8 8

1573 441 1 5 7 3 1 9 3 1572945 1 5 7 2 6 9 8 1 5 7 2 4 5 1

1 5 7 2 2 0 5 1 5 7 1 9 5 6 1 5 7 1 7 1 0 1 5 7 1 4 6 2 1571215

1 5 7 0 9 6 9 1 5 7 0 7 2 1 1 5 7 0 4 7 s 1 5 7 0 2 2 9 1 5 6 9 9 8 2

1569735 1 5 6 9 4 8 9 1 5 6 9 2 4 3 1 5 6 8 9 9 7 1568 750

1568505 1 5 6 8 2 5 8 1 5 6 8 0 1 3 1 5 6 7 7 6 7 1 5 6 7 5 2 1

1567275 1 5 6 7 0 5 0 1 5 6 6 7 8 4 1 5 6 6 5 3 8 1 5 6 6 2 9 4

1 5 6 6 0 4 8 1 5 6 5 8 0 3 1 5 6 5 5 5 8 1 5 6 5 5 1 2 1 5 6 5 0 6 8

. 1 5 6 4 8 2 3 1564 5 7 8

1 5 6 4 3 3 3 1 5 6 4 0 8 8 1 5 6 5 8 4 4

1565 6co 1565355 1565 n o 1 5 6 2 8 6 7 1562 622

- Δ 2

248 248 248 248 248

248 248 247 247 247

247 247 247 247 247

247 247 247 247 247

246 246 246 246 246

246 246 246 246 246

246 246 246 245 245

245 245 245 245 245

245 245 245 244 244

244 244 244 244 244

54

Page 63: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6.400 6.401 6.402

6.403 6.404

6.405 6.406 6.407 6.408

6.409

6.410 6.411 6.412 6.413 6.414

6.415 6.416 6.417 6.418 6.419

6.420 6.421 6.422 6.423 j 6.424

6.425 6.426 6.427 6.428 6.429

6.430 6.431 1 6-432 6.433 6.434

6.435 6.436 6.437 6.438 6.439

6.440 6.441 6.442 6.443 6.444

6.445 6.446 6.447 6.448 6.449

In x

1.8562979904 1.8564542282 1.8566104415 1.8567666305 1.8569227951

1.8570789353 1.8572350512 1.8573911427 1.8575472098 1.8577032525

1.8578592709 1.8580152650 1.8581712 347 1.8583371 802 1.8584831 013

1.8586389 981 1.8587948706 1.8589507188 1.8591065427 1.8592623 423

1.8594181177 1.8595738688 1.8597295957 1.8598852983 1.8600409 766

1.8601966 308 1.8603522607 1.8605078664 1.8606634479 J. 8608190 052

1.8609745 382 1.8611300 472 1.8612855 319 1.8614409 924 1.8615964288

1.8617518410 1.8619072291 1.8620625 931 1.8622179329 1.8623732486

1.8625285 401 1.8626838076 1.8628390509 1.8629942 702 1.8631494653

1.8633046364 1.8634597834 1.8636149063 1.8637700052 1.8639250800

Δ,

1562378 ! 1562133

1561890 1561646 1561402

1561159 1560915 1560671 1560427 1560184

1559941 1559697 1559455 1559211 1558968

1558725 1558482 1558239 1557996 1557754

1557511 1557269 1557026 1556783 1556542

1556299 1556057 1555815 1555573 1555330

1555090 1554847 1554605 1554364 1554122

1553881 155364c 1553398 1553157 1552915

1552675 1552433 1552193 1551951 1551 711

1551470 1551 229 1550989 1550748 1550508

- Δ 2

244 244 244 244 244

244 244 244 243 243

243 243 243 243 243

243 243 243 243 243

243 243 243 242 242

242 242 242 242 242

242 242 242 242 241

241 241 241 241 241

241 241 241 241 241

241 241 241 241 241

X

6.450 6.451 6.452 6.453 6.454

6.455 6.456 6.457 6.458 6.459

6.460 6.461 6.462 6.463 6.464

6.465 6.466 6.467 6.4Ófc 6.469

6.470 6.471 6.472 6.473 6.474

6.475 6.476 6.477 6.478 6,479

6.480 6.48ι 6.482 6.483 6.484

6.485 6.486 6.487 6.488 6.489

6.49° 6.491 6.492 6.493 6.494

6.495 6.496 6.497 6.498 6.499

In x

1.8040801 3θ8 1.8642351576 1.8643901 6θ3 1.8645451390 1.8647000936

1.8648550243 1.8650099 3 1 0

1.8651648136 1,8653196723 1.8654745071

1.8656293 178 1.8657841046 1.8659388674 1.8660936063 Ι.8662483 212

Ι.866403ΟΙ22 Ι.8665576793 Ι.8667123225 1.8668669 417 1.8670215 371

1.8671761085 1.8673306 5^ι 1,8674851 798

1.8676396 796 ι.8677941555

1.8679486076 ι.8681030 358 1.8682574402 1.8684118207 1.8685661 775

1.8687205 104 1.8688748 194 1.8690291047 1.8691833662 1.8693376039

1.8694918 178 1.8696460079 1.8698001 742 1.8699543 ι68 1.8701084356

1.8702625 307 1.8704166021 1.8705706497 1,8707246735 1.8708786737

ι.8710326 501 1.8711866029 ι.8713405 3χ9 ι;87ΐ4944 372 1.8716483 189

Δχ

1550268 1550 027 1549787 1549 546 1549 307

1549067 1548826 1548 587 1548 348 1548 107

1547868 1547628 1547389 1547149 1546910

1546671 1546432 1546 192 1545 954 1545 7Μ

1545 476 1545 237 1544 99 8

1544 759 1544 521

1544282 1544 044 1543805 1543 568 1543 329

1543090 1542853 1542615 1542 377 1542 139

1541 901 1541 663 1541426 1541 ι88 1540951

1540714 1540476 1540238 1540 002 1539764

1539 528 1539290 1539053 1538817 1538580

- Δ 2

241 241 241 240 240

240 240 240 240 240

240 240 240 239 239

239 239 239 »39 239

239 239 239 239 239

239 239 238 2 3 8

238

238 238 2 3 8

238 23 8

238 238 238 23 8

238

2 3 8

23 8

237 237 237

237 237 237 237 237

55

Page 64: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

6.500 6.501 6.502 6.503 6-504

6.505 6.5o6 6.507 6.5ο8 6.509

6.510 6.511 6.512 6.513 6.514

6.515 6.516 6.517 6,518 6.519

6.520 6.521 6.522 6.523 6.524

6.525 6.526 6.527 6.528 6,529

6.530 6.531 6 .53 2

6.533 6.534

6.535 6.536 6'. 5 37 6.53» 6.539

6.540 6.541 6.542 6.543 6,544

6.545 6.546 6.547 6.548 6.549

1η χ

1.8718021 769 1.8719560 U2 1.8721098 219 1.8722636089 I.8724173 722

I.872571I 120 1.8727248 281 1.8728785 205 1.8730321 894 I.8731858346

Ι.8733394562 Ι.8734930543 Ι.8736466287 1.8738001 796

1.8739537069

1.8741072 ιο6 1.8742606907 1.8744141474 1.8745675804 1.8747209899

1.8748743759 1.8750277384 1.8751810774 1.8753343928 1.8754876848

1.8756409532 1.8757941982 1.8759474197 1.8761006 177 1.8762537922

1.8764069433 1.876560070', 1,8767131551 1,8768662 559 1.8770193 ΐ 3 2

1.8771723471 1.8773253576 1.8774783446 1.8776313083 1,8777842486

1.8779371655 1.8780900 590 1,8782429291 1.8783957759 1.8785485993

1.8787013994 1.8788541 761 1.8790069295 1.8791596595 1.8793123 662

Δ !

1538343 1538 107 1537870 1537633 1537 398

1537 ι6 ι 1536924 1536689 1536452 1536 2ΐ6

1535981 1535 744 1535 509 1S35 273 1535 037

1534 8οι 1534567 1534 330 1534 095 1533 86ο

1533625 1533 390 1533 154 1532920 1532684

1532450 1532215 1531980 1531 745 ΐ 5 3 ΐ 5 ΐ τ

1531276 1531042 1530808 1530 573 1-530 339

1530 105 1529870 1529637 152-9 403 1529 ι 6 9

1528935 1528 701 1528468 1528234 1528 οοι

1527767 1527 534 1527300 1527067 1526834

- Δ 2

237 2 3 7 237 236 236

2 3 6 236 236 2 3 6 236

236 236 236 236 236

235 235 235 235 235

235 3̂5

235 235 235

235 235 235 235 235

235 235 235 235 235

235 234 234 234 234

234 234 234 234 234

234 2 3 4 234 233 233

X

6.550 6.551 6.552 6.553 6.554

6,555 6.556 6.557 6,558 6.559

6.. 560 6.561 6.562 6.565 6.564

6.56s 6.566

6.567 6.568 6.569

6.570 6.571 6.572

6 .573 6.574

6.575 6.576 6.577 6.578 6.579

6.580 6.581 6.582 6.583 6.584

6.585 6.586 6.587 6.588 6..589

6.590 6.591 6.592 6-593 6.594

6.595 6.596 6.597 6.598 6.599

1η χ

1.8794650496 1.8796177097 1.8797703466 1.8799229601 1.8800755 503

ι.8802281 172 1.8803806609

1 ι . 8 8 ο 5 3 3 ι 8 ΐ 3 1.8806856784 1.8808381 523

1.8809906030 1.8811430304 ι .88ΐ2954 345 1.8814478 155 ι .88 ι6οοι 73 2

1.8817525 078 1.8819048 191 1,8820571 072 1.8822093 722 1.8823616 139

1..8825138 325 1.8826660279 1.8828182 002 1.8829703 493 Ι.8831224 752

1.8832745 78ι 1.8834266578 1.8835787143 1.8837307478 1.8838827581

1.8840347 453 1.8841867095 1.8843386505 1.8844905 685 1.8846424634

1.8847943 352 1.8849461 840 1.8850980097 1,8852498 123 1.8854015 9!9

1.8855533485 1.8857050821 1.8858567926 1.8860084801 ι .886ι6οι 446

ι.8863117 862 1,8864634047 1.8866150002 1.8867665 728 1.8869181 224

Δ ΐ

1526601 1526 369 1526135 1525 9°2 1525 669

1525437 1525 2ο4 1524971 1524 739 1524507

1524274 1524041 1523 8 ιο 1523 577

1523346

1523 113 1522881 1522650 1522417 1522 ι86

1521954 1521 723 1521 491 1521 259 1521 029

1520 797 1520565 1520 335 1520103 1519872

1519642 1519410 1519 ι8ο 1518949 1518718

1518488 1518257 1518026 1517796 1517566

1517336 1517105 1516875 1516645 1516416

1516185 1515 955 1515 726 1515496 1515266

- Δ 2

3 3 3 2 3 3 233 233 233

233 233 233 233 2 3 3

233 232 232

232 232

232 232 232 232 232

232 232232 231 231

231231231 2 3 ! 2 3 1

231 2-31

231231 231

231231 230 230 23° 23° 2 3 0230230230

2 3023°23°23°23°

56

Page 65: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

6 . 6 o o 6 . 6 ο ι 6 . 6 0 2 6 . 6 0 3 6 . 6 0 4

6 .605 6 . 6 0 6 6 . 6 0 7 6 . 6 0 8 6 . 6 0 9

6 . 6 1 0 6 . 6 1 1 6 . 6 1 2 6 . 6 1 3 6 . 6 1 4

6 . 6 1 5 6 . 6 ι 6 6 . 6 i 7 6 . 6 1 8 6 . 6 1 9

6 . 6 2 0 6 . 6 2 1 6 . 6 2 2 6 . 6 2 3 6 . 6 2 4

6 .625 6 . 6 2 6 6 . 6 2 7 6 . 6 2 8 6 . 6 2 9

6 , 6 3 0 6 ,631 6 . 6 3 2 6 . 6 3 3 6 . 6 3 4

6 .635 6 . 6 3 6 6 . 6 3 7 6 . 6 3 8 6 . 6 3 9

6 , 6 4 0 6 , 6 4 1 6 . 6 4 2 6 . 6 4 3 6 . 6 4 4

6 .645 6 . 6 4 6 6 . 6 4 7 6 . 6 4 8 6 . 6 4 9

In x

1.8870696 490 1 .8872211 527 1 , 8 8 7 3 7 2 6 3 3 4 T . 8 8 7 5 2 4 0 912 1.8876755 26T

1 . 8 8 7 8 2 6 9 3 8 0 1 .8879783 270 1 , 8 8 8 1 2 9 6 9 3 0 1 .8882810 362 1 .8884323 565

T . 8 8 8 5 8 3 6 539 1 . 8 8 8 7 3 4 9 2 8 4 1 .8888861 800 1 . 8 8 9 0 3 7 4 0 8 7 i . 8891886 146

T.8893397 976 1 . 8 8 9 4 9 0 9 5 7 7 1 .8896420 950 i . 8897932 095 1 .8899443 o n

T .8900953 699 τ .8902464 159 1 ,8903974 39ï 1 . 8 9 0 5 4 8 4 3 9 5 τ . 8906994 171

1.8908503 719 1.8910OT3039 1.89T1522 131 1 , 8 9 1 3 0 3 0 9 9 6 1 . 8 9 1 4 5 3 9 6 3 3

1 . 8 9 1 6 0 4 8 0 4 2 L 8 9 T 7 5 5 6 2 2 4 1 .8919064 178 ι .8920571 905 τ . 8922079 4°5

1 . 8 9 2 3 5 8 6 6 7 8 1 , 8 9 2 5 0 9 3 7 2 3 ι .8926600 542 τ . 8 9 2 8 1 0 7 133 1 . 8 9 2 9 6 1 3 4 9 7

1 .8931119 635 ι .8932625 546 ι .8934131 2 3 ° 1 . 8 9 3 5 6 3 6 6 8 7 ι . 8 9 3 7 Μ 1 9 ι 8

τ . 8 9 3 8 6 4 6 922 ι . 8940T 51 699 1 .8941656 251 ι .8943160 576 τ . 8944664 674

Δ ι

1 5 1 5 0 3 7 1 5 1 4 8 0 7 1 5 1 4 5 7 8 1514 349 I 5 M I 1 9

1 5 1 3 8 9 0 1513 66ο 1 5 1 3 4 3 2 1 5 1 3 2 0 3 1512 974

1512 745 1512 5 ΐ 6 Ι5Τ2 287 1 5 1 2 0 5 9 1511 830

ι $ τ ι 6 ο ι 1 5 1 1 3 7 3 I 5 I 1 145 1 5 1 0 9 1 6 Ι 5 Τ 0 6 8 8

1 5 1 0 4 6 0 1 5 1 0 2 3 2 15 i o 004 1 5 0 9 7 7 6 1 5 0 9 5 4 ?

1509 320 1 5 0 9 0 9 2 1 5 0 8 8 6 5 1 5 0 8 6 ^ 7 1508 409

1508 τ 82 1 5 0 7 9 5 4 1 5 0 7 7 2 7 ΐ 5 ° 7 5 ° ° 1 5 0 7 2 7 3

1507045 1 5 0 6 8 1 9 1 5 0 6 5 9 1 1506 364 1 5 0 6 1 3 8

1505 911 1 5 0 5 6 8 4 1505 457 1505 231 1505 0O4

1504 777 1 5 0 4 5 5 2 1504325 1 5 0 4 0 9 8 1 5 0 3 8 7 3

- Δ 2

230 229 229 229 229

229 229 229 229 229

229 229 229 229 229

229 229 229 228 228

228 228 228 228 228

228 228 228 ! 228 228

Γ28 2 2 7

22-7 22-7 227

227 227 227 227 227

227 227 227 227 227

226 226 226 226 226

X

6 . 6 5 0 6 . 6 5 1 6 , 6 5 2 6 . 6 5 3 6 . 6 5 4

6 . 6 5 5 6 . 6 5 6 6 . 6 5 7 6 . 6 5 8 6 . 6 5 9

6 . 6 6 ο 6 . 6 6 τ 6 . 6 6 2 6 . 6 6 3 6 . 6 6 4

6 . 6 6 5 6 , 6 6 6 6 . 6 6 7 6 . 6 6 8 6 . 6 6 9

6 . 6 7 0 6 . 6 7 1 6 . 6 7 2 6 -673 6 . 6 7 4

6 . 6 7 5 6 . 6 7 6 6 , 6 7 7 6 , 6 7 8 6 . 6 7 9

6 . 6 8 ο 6 . 6 8 T 6 . 6 8 2 6 . 6 8 3 6 . 6 8 4

6 . 6 8 5 6 . 6 8 6 6 . 6 8 7 6 . 6 8 8 6 . 6 8 9

6 , 6 9 0 6 . 6 9 1 6 . 6 9 2 6 . 6 9 3 6 , 6 9 4

6 . 6 9 5 6 . 6 9 6 6 . 6 9 7 6 . 6 9 8 6 . 6 9 9

In x

ι . 8 9 4 6 τ 6 8 547 1 .8947672 193 ι . 8 9 4 9 1 7 5 613 1 , 8 9 5 0 6 7 8 8 0 8 1 .8952181 776

τ . 8 9 5 3 6 8 4 518 ι . 8 9 5 5 1 8 7 035 1 .8956689 326 1.895819T 392 τ . 8 9 5 9 6 9 3 231

ι . 8 9 6 1 1 9 4 846 1 .8962696 234 ι . 8 9 6 4 1 9 7 398 1 .8965698 336 1 .8967 T 99 049

1 ,8968699 536 1 ,8970199 799 1 .897T699 836 1 .8973199 649 T . 8 9 7 4 6 9 9 237

1.8976T98 599 i . 8 9 7 7 6 9 7 737 1 .8979196 651 1.3980695 339 1 .8982193 803

1 . 8 9 8 3 6 9 2 0 4 3 1 . 8 9 8 5 1 9 0 0 5 8 1 . 8 9 8 6 6 8 7 8 4 9 1.8988185 415 T .8989682 757

T . 8 9 9 1 1 7 9 875 T .8992676 769 T.8994T73 439 1 .8995669885 T .8997166 107

1 .8998662 106 1.900015 7 880 1 .9001653 431 1 .9003148 758 1 .9004643 861

1 .9006138 741 1 .9007633 398 1 .9009127 831 τ .9010622 041 1 . 9 0 1 2 1 1 6 0 2 8

1 ,9013609 791 i . 9 0 1 5 1 0 3 332 1 .9016596 649 1 .9018089 744 1 .9019582 615

Δ ΐ

1503 646 1503 420 1 5 0 3 1 9 5 1502 968 1 5 0 2 7 4 2

1502 517 I5O2 2QI 1 5 0 2 0 6 6 T501 839 150T 6 i 5

1501 388 1501 164 1 5 0 0 9 3 8 1 5 0 0 7 1 3 1 5 0 0 4 8 7

1 5 0 0 2 6 3 1 5 0 0 0 3 7 1499 8 i 3 1499 58* 1499 362

1 4 9 9 1 3 8 1 4 9 8 9 1 4 1498 688 1 4 9 8 4 6 4 T498 240

1498 015 1497 791 1497 566 1497 342 T497 118

T496 894 T496 670 T 496 446 T496 222 1495 999

1495 774 1 4 9 5 5 5 1 1495 327 1495 103 1494 880

1 4 9 4 6 5 7 1 4 9 4 4 3 3 1494 210 1493 987 1493 763

1493 541 1493 317 1493 095 1492 871 1492 649

- Δ 2

226 226 226 226 226

226 226 226 2 26 226

22 6 226 226 226 225

225 225 225 225 225

225 225 225 225 225

225 225 224 224 224

224 224 224 224 224

224 224 224 223 223

223 223 223 223 223

223 223 223 223 223

57

Page 66: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6.700 6.701 6.702 6.703 6.704

6.705 6.706

6.707 6.708

6.709

6.710 6 711 6.712

6.713 6.714

6.715 6.716

6.717 6.718 6.719

6.720 6.721 6.722 6.723 6.724

6.725 6.726 6.727 6.728 6.729

6.730 6.731 6.732 6.733 6.734

6,735 6.736 6.737 6.738 6,739

6.740 6.741 6.742 6.743 6.744

6.745 6.746 6.747 6.748 6.749

In x

1.9021075 264 1.9022567 690 1,9024059893 1.9025551874 1.9027043632

1.9028535 167 1.9030026480 1.9031517571 1.9033008440 1.9034499086

1.9035989 510 1.9037479 712 1.9038969692 1,9040459450 1.9041948 986

1,9043438300 1,9044927392 i . 9046416 263 1,9047904912 1.9049393339

1,9050881 545 1.9052369530 1,9053857293 1.9055344835 1^056832155

1.9058319255 1.9059806 133 1.9061292 790 1.9062779227 i.9064265 442

1.9065751437 I.9067237 210 I.9068722763 i . 9070208 09 5 i.9071693 207

1,9073178099 T. 9074662 769 1,9076147220 1.9077631450 1.9079115 460

1.9080599 249 1,9082082819 1.9083566 168 1.9085049 298 1.9086532207

1.9088014 897 1.9089497 366 1.9090979 616 1,9092461 647 Ï.9093943 458

Δχ

1492 426 1492 203 I49I 981 1491 758 M9I 535

1491 313 1491 091 1490869 1490646 1490424

1490 202 1489980 1489 758 1489536 1489 3M

1489002 1488 871 1488649 1488427 1488 2θ6

1487985 1487 763 1487542 1487 320 1487 100

1486878 148665.7 i486 437 i486 215 1485 995

1485 773 1485553 1485332 1485 112 1484 892

1484670 1484 451 1484230 1484010 1483 789

1483570 1483 349 1483 130 1482 909 1482690

1482 469 1482 250 1482 031 1481 811 1481 591

~ Δ 2

2 2 3 223 223 223 2 2 2

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

2 2 2 2 2 2 2 2 2 2 2 1 2 2 1

2 2 1 2 2 1 2 2 1 2 2 1 2 2 1

2 2 1 2 2 1 2 2 1 2 2 1 2 2 1

2 2 0 2 2 0 2 2 0 2 2 0 2 2 0

2 2 0 2 2 0 2 2 0 2 2 0 2 2 0

2 2 0 2 2 0 2 2 0 2 2 0 2 2 0

X

6.750 6.751 6.752 6.753 6.754

6-755 6.756 6.757 6.758 6.759

6,760 6.761 6.762 6.763 6,764

6.765 6.766 6.767 6,768 6.769

6.770 6.771 6.772 6.773 6.774

6.775 6.776 6.777 6.778 6.779

6.780 6.781 6.782 6.783 6.784

6.785 6.786 6.787 6.788 6.789

6.79C 6.791 6,792 6-793 6.794

6-795 6.796 6.797 6-798 6.799

In x

1.9095425049 1.9096906421 1.9098387573 1.9099868 506 1.9101349220

1.9102829 714 1.9104309 989 1.9105790046 1.9107269 883 1.9108749 501

1.9110228901 1.9111708081 1.9113187043 1.9114665 786 1.9116144310

1.9117622616 1.9119100704 1.91205 78 573 1.9122056223 1.9123533655 |

1.9125010869 1.9126487865 i 1.9127964643 1.9129441 202 I.913O917544

i.9132393 668 1.9133869573 1.9*35345 262 1.9136820732 1.9138295984

1.9139771 020 1.9x41245837 1.9142720437 1.9144194820 1,9145668985

1.9147142 933 1.9148616664 1.9150090 177 1.9151563474 1.9153036553

1.9154509416 1.9155982061 1.9157454 490 1.9158926 702 1.9160398697

1.9161870476 1.9163342 038 1.9164813 384 1.9166284 513 1.9167755425

Δχ

1481 372 I481 152 1480933 1480 714 1480 494

1480 275 1480057 1479837 1479 6i8 1479 400

1479 l 8 o 1478 962 1478 743 1478 524 1478 306

1478088 1477 869 1477 650 ] 477 432 1477214

1476996 1476 778 1476559 1476 342 1476 124

1475 905 1475689 1475470 1475252 1475036

1474817 1474 600 1 1474383 1474 165 1473 948

1473731 1473513 1473297 1473079 1472 863

1472645 1472 429 1 4 7 2 2 1 2 1471 995 1471779

1471 562 1471 346 1471 129 1470 912 1470697

- Δ ,

2 2 0 2 2 0 2 2 0 2 2 0 219

219 219 219 219 219

219219219219 219

2192192 1 8 2 1 8 21a

218 218 218 218 218

218 218 218 217217

217 217 217 217 217

217217 217 217 217

217217 217 217 217

217 217 217 216 216

58

Page 67: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

6.800 6.8οι 6.8ο2 6.8ο3 6.8ο4

6.805 6.8ο6 6.807 6.8ο8 6.809

6.810 6.8ΙΙ 6.812 6.813 6.8ΐ4

6.815 6.8ι6 6.817 6.8ι8 6.819

6.820 6.821 6.822 6.825 6.824

6.825 6.826 6.827 6.828 6.829

6.830 6.831 6.832 6.833 6 . 8 3 4

6.835 6.836 6 . 8 3 7 6.838 6 . 8 3 9

6.840 6.841 6.842 6.843 6.844

6.845 6.846 6.847 6.848 6.849

1η χ

I.9169226 122 1.9170696602 1.9172166866 ι.9173636914 ir9i75106745

1.9176576 361 1.9178045 761 1.9179514945 1.9180983 9Τ3 1.9182452665

Ι.918392Ι 202 1.9185389523 1.9186857628 1.9188325 5ΐ8 1.9189793 τ92

1.9191260 651 ι . 9192727 895 1.9194194924 1.9195661737 1.9197128335

1.9198594719 1.9200060887 1.9201526840 ι . 9202992 5 78 Ι.92Ο4458 102

1.9205923 411 1.9207388505 1.9208853 384 1.9210318049 1.9211782 500

ι . 9213246 736

ι.9214710 757 ι.9216174 565 1.9217638 158 1.9219101 537

1,9220564 7 0 2

1.9222027653 1,9223490 389 1.9224952912 1.9226415 221

1.9227877 3 f6 τ.9229339 τ 9 8

1.9230800866 ι .9232262 320 ι .9233723 56ο

1.9235184587 1.9236645 401 ι.9238106 οοι 1.9239566 388 1.9241026 562

Δ 1

1470480 1470264 1470048 1469831 1469 6ι6

146940° 1469 184 1468968 1468 752 1468537

1468 321 1468 105 1467 890 1467 674 1467459

1467 244 1467029 1466813 1466 598

1466 384

1466 ι68 1465953 1465 738 1465 524 1465 309

1465 094 1464 879 1464 665 14644*1 1464236

1464021 1463 8ο8 1463 593 1463 379 1463 165

1462951 1462 736 1462 523 ΐ4#2 309 1462 095

1461 882 1461 668 1461454 1461 240 1461 027

1460814 1460 6οο 1460 387 1460 174 1459961

- Δ 2

2 ΐ 6 2 ΐ 6 2 ΐ 6 2 ΐ 6 2 ΐ 6

2 ΐ 6 2 ΐ 6 2 ΐ 6 2 ΐ 6 2 ΐ 6

2 ΐ 6 2 ΐ 6 2tf6 215 215

215 215 215 215 215

215 215 215 215 215

215 215 215 2 1 < 215

214 214 214 214 214

214 214 214 214 214

2Τ4 214 214 213 213

213 213 213 213 213

X

6.850 6.851 6.852 6.853 6.8 54

6.855 6.856 6.857 6.858 6.8 $9

6.86ο 6,86ι 6.862 6.863 6.864

6.865 6.866 6.867 6.868 6.869

6.870 6.871 6.872 6.873 6.874

6.875 6.876 6.8 77 6.878 6 . 8 7 9

6.88ο 6.881 6.882 6 .88 3 6.884

6.885 6.886 6.887 6.888 6.889

6.890 6.891 6.892 6.893 6.894

6.895 6.896 6.8 97 6.898 6.899

1η χ

1.9242486 523 τ. 9243 946 2 70 1.9245405805 1.9246865 126 1.9248324235

1.9249783 n o 1.9251241 8ΐ3 1,9252700283 1,9254158540 1,9255616585

1,9257074417 1.9258532037 1.9259989444 ι . 9261446 639 ι . 9262903 622

1.9264360392 T.92Ó5816950 1.9267273 296 1.9268729430 1.9270185 352

1.9271641 ο62 1.9273096 56ο 1.9274551847 1.9276006921 ι . 9277461 784

ι . 9278916 436 1.9280370875 ι.9281825 103 1.9283279 i2c 1.9284732925

1.9286186 519 1.9287639902 1.9289093074 1.9290546034 1.9291998 783

I.9293451 322 I.92949O364Ç Ι.9296355 766 Ι.9297807 671 Ι.9299259 366

Ι.93ΟΟ71085Ο 1.9302162 124 Τ.93Ο36Τ3 187 1,9305064 039 1.9306514 681

1.9307965 H 2 Ι.93094Τ5354 1.9310865 344 1.9312315 Μ5 1.9313764736

Δ ι

ί # 1459 747 1459 535 ΐ459>2ΐ 1459 109 1458895

1458683 1458470 1458257 1458045 1457832

1457620 1457 407 1457195 1456985 1456 770

1456558 1456 346 1456134 1455 922 1455 710

1455 498 1455287 1455 074 1454 863 1454 652

Μ54 439 1454 228 1454017 1453 805 1455 594

1453 385 1455 172 1452 960 1452 749 1452 559

1452527 1452 117 1451905 1451 695 1451484

1411 274 1451063 1450852 145° 642 1450 451

1450 222 145° οΐο 1449 8οι 1449 591 1449 38ο

- Δ 2

215 215 213 215 215

215 215 215 213 215

215 2 1 2 2 1 2 2 1 2 2 1 2

2 1 2 2 1 2 2 1 2 2 1 2 2 1 2

2 1 2 2 1 2 2 1 2 2 1 2 2 1 2

2 1 2 2 1 1 2 1 1 2 U 2 1 1

2 1 1 2 1 1 2 1 1 2 1 1 2 1 1

2 1 1 2 1 1 2 1 1 2 1 0 2 1 0

2 1 0 2 1 0 2 1 0 2 Ι Ο 2 Ι Ο

2 1 0 2 1 0 2 1 0 2 1 0 2 1 0

Page 68: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

6.900 6,901 6.902

6.903 6.904

6.905 6.906 6.907 6.908

6.909

6.910 6.911 6.912

6.913 6.914

6.915 6.916

6.917 6.918 6.919

6.920 6.921 6.922 6.923 6.924

6.925 6.926 6.927 6.928 6.929

6.930 6.931 6.932 6.933 6.934

6.935 6.936 6.937 6.938 6.939

6.940 6.941 6.942 6.943 6.944

6.945 6.946 6.947 6.948 6.949

In x

1.9315214 116 1.9316663 286 1.9318112247 1.9319560997 1.9321009 538

1.9322457869 1.9323905990 1.9325353 901 1.9326801 603 1.9528249095

1.9329696578 1.9331143 451 1.9332590315 1.9354036970 1.9355485415

1.9536929 651 1.9358575678 1.9559821 496 1.9341267 105 1.9342712505

1.9344157696 1.9345602679 1.9347047452 1.9548492017 1.9349936373

1.9551380521 1.9352824460 1.9554268 190 1.9555711715 1.9557155026

1.9558598152 1.9360041 029 1.9361483 719 I.9362926 200 I.9364368475

i.9565810 558 I.9567252595 I.9368694O44 i.9370135 485 1.9571576 7'S

1.9575017745 1.9574458564 1.9575899 !74 1.9577559578 1.9578779774 |

1.9380219 762 1.9381659 543 1.9383099117 1.9384538484 1.9385977643

Δ ,

1449170 1448 961 1448750 1448 541 1448351

1448 121 1447911 1447 702 1447492 1447 283

1447073 1446 864 1446655 1446 445 1446236

1446 027 1445 818 1445 609 1445 400 1445 191

1444 985 1444 773 1444565 1444556 1444 148

1445959 1443 730 1445 525 1443315 1443 106

1442 897 1442 690 1442481 1442 273 1442065

1441857 1441 649 1441 441 1441 234 1441 026

1440819 1440 610 1440 404 1440 196 1439988

1439781 ' 1439574 1 1439367 1439159 1438955

- Δ 2

210 210 210 210 210

210 210 210 210 210

209 209 209 209 209

209 209 209 209 209

209 209 209 209 209

209 209 209 208 208

208 208 208 208 208

208 208 208 208 208

208 207 207 207 207

207 207 207 207 207

X

6.950 6.951 6.952 6.955 6.954

6.955 6.956 6.657 6.958 6.959

6.QÓ0 6.961 6.962 6,963 6.964

6.965 6.966 6.967 6.968 6.969

6.970 6.971 6.972 6.973 6.974

6.975 6.976 6.977 6.978 6.979

6.980 6.981 6.982 6.983 6.984

6.985 6.986 6.987 6.988 6.989

6.990 6.991 6.992 6.993 6.994

6.995 6.996 6.997 6.998 6.999

In x

1.9387416596 1.9388855341 1.9390293 880 1.9591752 211 1.9393170356

1.9594608254 1.9396045965 1.9597485469 1.9398920 767 1.9400557859

1.9401794745 1.9405231 422 1.9404667894 1.9406104 160 1.9407540 219

1.9408976072 1.9410411719 1.9411847 160 1.9413282 396 1.9414717425

1.9416152 248 1.9417586865 1.9419021 277 1.9420455482 1.9421889485

1.9423525277 1.9424756866 1.9426190 250 T.9427623 428 1.9429056400

1.9430489 168 1.9431921750 1.9455554087 1.9454786259 1.9456218 185

1.9457649927 1.9459081 464 1.9440512796 1.9441945 923 1.9445574845

1.9444805 562 1.9446256075 1.9447666 384 1.9449096487 1.9450526386

1.9451956081 1.9453385572 1.9454814 858 1.9456243959 1.9457672 817

* i

1458 745 1458559 1438331

1458125 1457918

1457 711 1457 504 1437298 1437092 1436 884

1456 679 1436472 1436 266 1436059 1435855

1455 647 1435 441 1435 236 1435 029 1454825

1454617 1454412 1454 205 1454 001 1455 794

1433 589 1433 384 1435 178 1432 972 1432 768

1432562 1452557 1452 152 1431946 1431742

1431557 1431332 1431 127 1430922 1430717

1450513 1430 309 1430 103 1429 899 1429 695

1429491 1429 286 1429 081 1428 878 1428 674

- Δ 2

207 2 0 ; 207 207 207

207 207 207 207 2θ6

206 206 206 206 206

206 206 206 206 206

206 206 206 206 206

206 206 206 205 205

205 205 205 205 205

205 205 205 205 20 5

205 205 205 204 204

204 204 204 204 204

60

Page 69: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7-000 7-001 7 . 0 0 2 7 -003 7-004

7-005 7 · θ θ 6 7 -007 7 · θ θ 8 7 -009

7 -010 7 -011 7 . 0 1 2 7 -013 7 -014

7-015 7 · θ ΐ 6 7 -017 7 · θ ΐ 8 7 -019

7 . 0 2 0 7 - 0 2 Ι 7 . 0 2 2 7 -023 7-024

7-025 7-026 7 -027 7 -028 7 · 0 2 9

7 - 0 3 0 7 -031 7-032 7-033 7 . 0 3 4

7-035 7-036 7 -037 7 . 0 3 8 7-039

7 -040 7 -041 7 -042 7 -043 7-044

7-045 7-046 7 -047 7 . 0 4 8 7-049

1η χ

1 . 9 4 5 9 1 ° ! 491 1 . 9 4 6 0 5 2 9 9 6 0 ι . 9 4 6 1 9 5 8 225 1 . 9 4 6 3 3 8 6 2 8 7 ι . 9 4 6 4 8 1 4 ΐ 4 4

ι . 9466241 798 1 . 9 4 6 7 6 6 9 2 4 8 ι . 9469096 494 1 . 9 4 7 0 5 2 3 5 3 6 1 . 9 4 7 1 9 5 0 3 7 5

1-9473377 0 1 0 1 . 9 4 7 4 8 0 3 4 4 2 1 , 9 4 7 6 2 2 9 6 7 1 1 . 9 4 7 7 6 5 5 6 9 6 ι . 9 4 7 9 0 8 1 5 1 7

1 .9480507 I 3 6

ι . 9 4 8 1 9 3 2 551 1 . 9 4 8 3 3 5 7 7 6 3 1 . 9 4 8 4 7 8 2 7 7 2 1 . 9 4 8 6 2 0 7 5 7 7

1 .9487632 ι 8 ο 1 . 9 4 8 9 0 5 6 5 8 0 1 . 9 4 5 0 4 8 0 7 7 7 1 . 9 4 9 1 9 0 4 7 7 2 1 . 9 4 9 3 3 2 8 5 6 3

1 .9494752 152 ΐ - 9 4 9 6 1 7 5 538 1 .94975.98722 1 .9499021 7°3 1 . 9 5 0 0 4 4 4 4 8 2

ι . 9 5 0 1 8 6 7 058 1 . 9 5 0 3 2 8 9 4 3 2 1 .9504711 6ο4 ι . 9 5 0 6 1 3 3 573 1-9507555 34ΐ

1 . 9 5 0 8 9 7 6 9 0 6 1 .9510398 269 1 . 9 5 1 1 8 1 9 4 3 ° 1 . 9 5 1 3 2 4 0 3 8 9 1 .9514661 146

ι . 9516081 702 ι . 9 5 1 7 5 0 2 055 τ . 9 5 1 8 9 2 2 207 1 .9520342 158 1 .9521761 9 ° 6

ι . 9 5 2 3 1 8 1 454 1 . 9 5 2 4 6 0 0 7 9 9 ι . 9 5 2 6 0 1 9 943 1 . 9 5 2 7 4 3 8 8 8 6 1 . 9 5 2 8 8 5 7 6 2 8

Δχ

1428 469 1 4 2 8 2 0 5 1428 ο62 1 4 2 7 8 5 7 1 4 2 7 6 5 4

1 4 2 7 4 5 0 1427 246 1427 042 1426 839 1 4 2 6 6 3 5

1426 432 1426 229 1426 025 1425 821 1425 6 ΐ 9

1 4 2 5 4 1 5 1425 212 1425 009 1424 8ο5 1 4 2 4 6 0 3

1424 400 1424 197 1423 995 1423 791 1423 589

1423 386 1423 ι 8 4 1422 981 1422 779 1422 576

1422 374 1422 172 ι 4 2 ΐ 969 1421 768 1421 565

1421 3 6 3 I42J ι 6 ι 1420 959 1420 757 1 4 2 0 5 5 6

1420 353 1420 152 1 4 1 9 9 5 1 1 4 1 9 7 4 8 Ι 4 Ι 9 5 4 8

1419 345 1 4 1 9 1 4 4 1 4 1 8 9 4 3 Ι 4 ΐ 8 742 Ι 4 ΐ 8 540

- Δ 2

204 204 204 204 204

204 204 204 204 203

203 203 203 203 203

203 203 203 203 203

203 203 203 203 203

203 203 203 203 2 0 2

2 0 2 2 0 2 2 0 2 2 0 2 2 0 2

2 0 2 2 0 2 2 0 2 2 0 2 2 0 2

2 0 2 2 0 2 2 0 2 2 0 2 2 0 2

2 0 1 2 0 1 2 0 1 2 0 1 2 0 1

X

7-050 7 -051 7 . 0 5 2 7 -053 7 -054

7-055 7 -056 7 -057 7 . 0 5 8 7 . 0 5 9

7 · θ 6 ο 7·°6ι 7 . 0 6 2 7 . 0 6 3 7 -064

7 .065 7 · θ 6 6 7 . 0 6 7 7 . 0 6 8 7 . 0 6 9

7 . 0 7 0 7 -071 7 . 0 7 2 7 . 0 7 3 7 . 0 7 4

7-075 7 . 0 7 6 7 -077 7 -078 7 . 0 7 9

7 . ο 8 ο 7 . ο 8 ι 7 . 0 8 2 7 . 0 8 3 7 -084

7 .085 7 , ο 8 6 7 . 0 8 7 7 . ο 8 8 7 . 0 8 9

7 . 0 9 0 7 -091 7 -092 7 -093 7 - ° 9 4

7 .095 7 . 0 9 6 7 . 0 9 7 7 . 0 9 8 7 · ° 9 9

1η χ

ι . 9 5 3 ° 2 7 6 ι 6 8 1 . 9 5 3 1 6 9 4 5 0 7 1 . 9 5 3 3 1 1 2 6 4 5 1 . 9 5 3 4 5 3 0 5 8 2 1-9535948 318

1 . 9 5 3 7 3 6 5 8 5 3 1 . 9 5 3 8 7 8 3 1 8 7 1 . 9 5 4 0 2 0 0 3 2 0 1 . 9 5 4 1 6 1 7 2 5 2 1-9543033 984

1 . 9 5 4 4 4 5 0 5 1 5 1 . 9 5 4 5 8 6 6 8 4 5 1 . 9 5 4 7 2 8 2 9 7 5 1 . 9 5 4 8 6 9 8 9 0 4 1 . 9 5 5 0 1 1 4 6 3 3

1 -955153° ι 6 ι 1 . 9 5 5 2 9 4 5 4 8 9 1 . 9 5 5 4 3 6 0 6 1 7 1-9555775 545 1 . 9 5 5 7 1 9 0 2 7 2

1 . 9 5 5 8 6 0 4 7 9 9 1 .9560019 126 ι . 9 5 6 1 4 3 3 253 1 .9562847 ι 8 ι ι . 9564260 9θ8

1 . 9 5 6 5 6 7 4 4 3 5 1 -9567087763 1 .9568500 891 1 . 9 5 6 9 9 1 3 8 1 9 1 . 9 5 7 1 3 2 6 5 4 8

ι . 9 5 7 2 7 3 9 ° 7 7 ι . 9 5 7 4 1 5 1 407 1 . 9 5 7 5 5 6 5 5 3 7 1 . 9 5 7 6 9 7 5 4 6 8 1 . 9 5 7 8 3 8 7 1 9 9

1 . 9 5 7 9 7 9 8 7 3 1 1 . 9 5 8 1 2 1 0 0 6 4 ι . 9 5 8 2 6 2 1 198 1 .9584032 133 1 . 9 5 8 5 4 4 2 8 6 9

1 . 9 5 8 6 8 5 3 4 0 5 1 .9588263 743 1 . 9 5 8 9 6 7 3 8 8 2 ι . 9 5 9 ! ° 8 3 822 1 . 9 5 9 2 4 9 3 5 6 4

ΐ - 9 5 9 3 9 ° 3 ι ο 6 1 - 9 5 9 5 3 1 2 4 5 0 1 .9596721 595 ι . 9 5 9 8 1 3 0 542 1 . 9 5 9 9 5 3 9 2 9 1

* Ι

1 4 1 8 3 3 9 1 4 1 8 1 3 8 1 4 1 7 9 3 7 1417 7 3 6

1 4 1 7 5 3 5

1417 334 1 4 1 7 1 3 3 1 4 1 6 9 3 2 1 4 1 6 7 3 2 1 4 1 6 5 3 1

1 4 1 6 3 3 0 1416 130 1 4 1 5 9 2 9 1415 729 1415 528

1415 328 ΐ 4 ΐ 5 128 1 4 1 4 9 2 8 1414 727 1 4 1 4 5 2 7

1 4 1 4 3 2 7 1 4 1 4 1 2 7 1413 9 2 8 1 4 1 3 7 2 7 1 4 1 3 5 2 7

1 4 1 3 3 2 8 1413 128 1412 928 1 4 1 2 7 2 9 1412 520

1 4 1 2 3 3 0 1412 130 1 4 1 1 9 3 1 1 4 1 1 7 3 1 M i l 532

1 4 1 1 3 3 3 M u 134 1 4 1 0 9 3 5 1410 736 1 4 1 0 5 3 6

1 4 1 0 3 3 8 1 4 1 0 1 3 9 ΜΟ9 940 1409 742 1409 542

1409 344 1409 145 1 4 0 8 9 4 7 ΐ 4 θ 8 749 ΐ 4 ο 8 549

- Δ 2

201 1 201 1 201 1 201 1 201 1

201 1 201 1 201 1 201 1 201 1

201 1 201 1 201 1 201 1 200 1

2 0 Ο 2 0 0 2 0 0 2 0 0 2 0 0

2 0 0 2 0 0 2 0 Ο 2 0 0 2 0 0

2 0 Ο 2 0 0 2 0 0 2 0 Ο 2 0 0

2 0 0 20Ο 2 0 0

199 199

199 199 199 199 199

199 199 199 199

I 199

199 1 χ99

199 199 198

61

Page 70: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7 - 1 0 0 7 . l o i 7 . 1 0 2 7 .103 7 . 1 0 4

7 .105 7 . 1 0 6 7 . 1 0 7 7 . 1 0 8 7 . 1 0 9

7 . H O 7 . I I I 7 . H 2 7 . I I 3 7 . I 1 4

7 . I I 5 7 . 1 1 6 7 . I I 7 7 . U 8 7 . I I 9

7.I2O 7 . 1 2 1 7 . I 2 2 7 . I 2 3 7 . I 2 4

7 . I 2 5 7 . I 2 5 7 . I 2 7 7 . I 2 8 7 . I 2 9

7.I3O 7 . 1 3 I 7 . I 3 2 7 . I 3 3 7 . 1 3 4

7 . I 3 5 7 . I 3 6 7 . I 3 7 7 . I 3 8 7 . I 3 9

7 . I4O 7 . 1 4 1 7 . I 4 2 7 . 1 4 3 7 . I 4 4

7 .145 7 . I 4 6 7 . I 4 7 7 . I 4 8 7 . 1 4 9

In x

1 , 9 6 0 0 9 4 7 8 4 0 1 .9602356 192 1 . 9 6 0 3 7 6 4 3 4 5 i . 9 6 0 5 1 7 2 300 1 . 9 6 0 6 5 8 0 0 5 7

1 . 9 6 0 7 9 8 7 6 1 5 1 . 9 6 0 9 3 9 4 9 7 6 1 . 9 6 1 0 8 0 2 1 3 8 1 . 9 6 1 2 2 0 9 1 0 3 1.9613615 869

1 .Q615022438 1 , 9 6 1 6 4 2 8 8 0 9 1 . 9 6 1 7 8 3 4 9 8 2 1 .9619240 95 8 1 . 9 6 2 0 6 4 6 7 3 5

1 .9622052 315 1 . 9 6 2 3 4 5 7 6 9 8 1 . 9 6 2 4 8 6 2 8 8 3 1 .9626267 871 1 .Q627672661

1 . 9 6 2 9 0 7 7 2 5 4 1 .9630481 6 5 0 1 .9631885 849 1 . 9 6 3 3 2 8 9 8 5 0 1 . 9 6 3 4 6 9 3 6 5 5

1 . 9 6 3 6 0 9 7 2 6 2 j . 9637500 672 1 .9638903 885 1 .9640306 901 1 .9641709 721

1 . 9 6 4 3 1 1 2 3 4 4 i . 9 6 4 4 5 1 4 770 1 .9645917 000 1 .96473IS 033 1 . 9 6 4 8 7 2 0 8 6 9

1 .9650122 509 1 .9651523 953 1 .9652925 200 1 . 9 6 5 4 3 2 6 2 5 1 1 . 9 6 5 5 7 2 7 1 0 5

1 . 9 6 5 7 1 2 7 7 6 4 1 . 9 6 5 8 5 2 8 2 2 6 1 . 9 6 5 9 9 2 8 4 9 2 1 .9661328 562 1 . 9 6 6 2 7 2 8 4 3 6

1 .96 54128 114 1.9665527 596 1 .9666926 882 1.9668325 973 1 . 9 6 6 9 7 2 4 8 6 8

Δ ΐ

i 4 o 8 352 1408 153 1407955 1 4 0 7 7 5 7 1 4 0 7 5 5 8

1407 361 1407 162 1406 965 1406 766 1406 569

1405 371 1406 173 1405 976 1405 777 1405 580

1405 3 8 3 1405 185 1404 988 1404 790 1404 593

1404 396 1404 199 1404 001 1403 805 1403 607

1403 410 1403 213 1403 016 1402 820 1402 623

1 4 0 2 4 2 6 1402 230 1 4 0 2 0 3 3 1401 836 1401 6 4 0

1401 444 1401 247 1 4 0 1 0 5 1 1400 854 1 4 0 0 6 5 9

1400 462 1400 266 1 4 0 0 0 7 0 1 3 9 9 8 7 4 1 3 9 9 6 7 8

1 3 9 9 4 8 2 1 3 9 9 2 8 6 1 3 9 9 0 9 1 1398895 1 3 9 8 6 9 9

- Δ ,

198 198 198 198 198

198 198 198 198 198

198 198 198 197 197

197 197 197 197 197

197 197 197 197 197

197 197 197 1Q7 197

197 197 197 196 196

196 196 196 196 196

196 196 196 196 196

196 I 196 196 196 I 196

X

7 . 1 5 0 7 . 1 5 1 7 . 1 5 2 7 . 1 5 3 7 154

7 1 5 5 7.15É 7 1 5 7 7 . 1 5 8 7 . 1 5 9

7 . 1 6 c 7 . 1 6 1 7 . 1 6 2 7 . 1 6 3 7 . 1 6 4

7 .165 7 . 1 6 6 7 . 1 6 7 7 . 1 6 8 7 . 1 6 9

7 . 1 7 0 7 . 1 7 1 7 . 1 7 2 7 . 1 7 3 7 . 1 7 4

7 . 1 7 5 7 . 1 7 6 7 . 1 7 7 7 . 1 7 8 7 . 1 7 9

7 . 1 8 0 7 . 1 8 1 7 . 1 8 2 7 . 1 8 3 7 . 1 8 4

7 .185 7 . 1 8 6 7 . 1 8 7 7 . 1 8 8 7 . 1 8 9

7 . 1 9 0 7 . 1 9 1 7 . 1 9 2 7 . 1 9 3 7 . 1 9 4

7 .195 7 . 1 9 6 7 . 1 9 7 7 . 1 9 8 7 . 1 9 9

Jn x

1 . 9 6 7 1 1 2 3 5 6 7 1 . 9 6 7 2 5 2 2 0 7 1 1 . 9 6 7 3 9 2 0 3 7 9 1 . 9 6 7 5 3 1 8 4 9 1 1 . 9 6 7 6 7 1 6 4 0 8

1 . 9 6 7 8 1 1 4 1 3 0 1.9679511 656 1 . 9 6 8 0 9 0 8 9 8 8 1 . 9 6 8 2 3 0 6 1 2 3 1 . 9 6 8 3 7 0 3 0 6 4

1 . 9 6 8 5 0 9 9 8 1 0 1 .9686496 360 1 .9687892 716 1 . 9 6 8 9 2 8 8 8 7 6 1 .9690684 842

1 .9692080 613 1 . 9 6 9 3 4 7 6 1 8 9 1 ,9694871 570 1 .9696266 757 1 ,9697661 749

1 .9699056 546 1 .9700451 149 1 . 9 7 0 1 8 4 5 5 5 7 1 . 9 7 0 3 2 3 9 7 7 1 1 . 9 7 0 4 6 3 3 7 9 1

1 .9706027 616 1 .9707421 248 1 .9708814 684 1 . 9 7 1 0 2 0 7 9 2 7 1 . 9 7 1 1 6 0 0 9 7 6

1 . 9 7 1 2 9 9 3 8 3 1 1 . 9 7 1 4 3 8 6 4 9 1 1 . 9 7 1 5 7 7 8 9 5 8 1 .9717171 231 1 .9718563 310

1.9719955 195 1 .9721346 887 1 .9722738 385 1 .9724129 689 1 . 9 7 2 5 5 2 0 8 0 0

1 .9726911 717 1 . 9 7 2 8 3 0 2 4 4 1 1 .9729592 972 1 .9731083 309 1 . 9 7 3 2 4 7 3 4 5 3

1 . 9 7 3 3 8 6 3 4 0 3 1 . 9 7 3 5 2 5 3 1 6 1 1 . 9 7 3 6 6 4 2 7 2 5 1 . 9 7 3 8 0 3 2 0 9 7 1 . 9 7 3 9 4 2 1 2 7 5

Δ 1

1

1 3 9 8 5 0 4 1398 3o8 1398 112 1 3 9 7 9 1 7 1 3 9 7 7 2 2

1 3 9 7 5 2 6 1 3 9 7 3 3 2 1397135 1 3 9 6 9 4 1 1 3 9 6 7 4 6

1 3 9 6 5 5 0 1 3 9 6 3 5 6 1396 160 1395 9 6 6

139S 771

1395 576 1395 381 1395 187 1 3 9 4 9 9 2 1 3 9 4 797

1394 603 1 3 9 4 4 0 8 1394 214 1 3 9 4 0 2 0 1393825

1393 632 1 3 9 3 4 3 6 1393 243 1 3 9 3 0 4 9 1392855

1 3 9 2 6 6 0 1 3 9 2 4 6 7 1392273 1392 079 1391 885

1391 692 1391 498 1391 304 1391 m 1 3 9 0 9 1 7

1390724 1 3 9 0 5 3 1 1 3 9 0 3 3 7 1390 144 1 3 8 9 9 5 0

1309 758 1 3 8 9 5 6 4 1 3 8 9 3 7 2 1389 178 1388985

- Δ 2

196 196 196 196 196

195 195 195 195 195

195 1 195 195 195 195

195 1 9 5 / 195 195 195

195 195 195 195 194

194 194 194 194 194

194 *94 194 194 194

194 194 194 194 194

x 9 4 !94 194 194 193

193 193 193 193 193

62

Page 71: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7.200 7 .soi 7.202 7.203 7.204

7.205 7·2θ6 7-207 7.208 7 · 209

7.210 7-2ΙΙ 7-212 7.213 7-214

7-215 7·2ΐ6 7-217 7·2ΐ8 7.219

7.220 7.221 7-222 7.223 7-224

7-225 7.226 7-227 7.228 7.229

7.230 7.231 7.232 7-233 7-234

7.235 7.236 7-237 7.238 7-239

7.240 7.241 7-242 7-243 7-244

7-245 7-246 7.247 7-248 7-249

1η χ

1,9740810260 1.9742199053 1.9743587652 1.9744976059 1.9746364273

1.9747752 295 ι.9749*40 123 1.9750527759 ι . 97519*5203 ι.97533°2 454

1.9754689 513 1.9756076379 1.9757463053 1-9758849 535 1.9760235 825

Ι.976162Ι 922 1.9763007828 1.9764393541 1.9765 779 °62 1.9767164392

1.9768549529 1.9769934475 1.9771319229 1.9772703 791 ι,9774088 ι6ι

1.9775472 340 1.9776856 327 1.9778240 123 1.9779623 727 1.9781007 140

1.9782390362 1.9783773392 1.9785156 231 1.9786538879 1.9787921335

Ι·97893°3 6οι 1.9790685 675 1.9792067559 1.9793449251 1 1.9794830753

1,9796212064 1.9797593184 1.9798974113 1.9800354852 ι.9801735 400

1.9803115 758

1.9804495 925 1.9805875 9 0 1

1.9807255 687 1.9808635 283

Δ !

1388793 1388599 1388407 1388214 1388023

1387828 1387636 1387444 1387251 1387059

1386866 1386674 1386482 1386 290 1386097

1385 9°6 1385 713 1385 521 1385 330 1385 137

1384946 1384754 1384 562 1384370 1384 179

1383987 1383 796 1383604 1383413 1383222

1383030 1382839 1382648 1382456 1382266

1382074 1381884 1381 692 1381 502 1381 311

1381 120 1380929 1380739 1380548 1380358

1380 167 1379976 1379 786 1379 596 1379 406

- Δ 2

193 193 193 193 193

192 192 192 192 192

192 192 192 192 192

192 192 192 192 193

ΐ 9 2

192 192 192

192

192 192

192 192 192

192 192 191 191 191

ΐ9ΐ 191 191 191 191

191 191 191 191 191

191 190 190 190 190

X

7.250 7-251

1 7.252 7-253 7-254

7-255 7.256 7-257 7-258 7-259

7.26ο 7.261 7.262 7-263 7-264

7-265 7.266 7.267 7.268 7.269

7.270 7-271 7.272 7-273 7-274

7-275 7.276 7-277 7.278 7-279

7.280 7.28ι 7.282 7-283 7-284

7-285 7.286 7.287 7.288 7.289

7.290 7.291 7.292 7-293 7.294

7.295 7.296 7-297 7.298 7-299

1η χ

1.9810014689 1.9811393 9°4 ι.9812772 929 1.9814151 7^4 1.9815530409

1.9816908863 1.9818287128 1.9819665 203 ι.9821043 ο88 1.9822420783

1.9823798 28* 1.9825175 6ο4 1.9826552 73° 1.9827929 666 1.9829306 413

ι .9830682970 1.9832059338 1.9833435516 1.9834811505 1.9836187 305

1.9837562915 1.9838938337 1.9840313 ^69 ι.9841688 6ΐ2 1.9843063 466

1.9844438131 1.9845812607 1.9847186894 1.9848560992 1.98499349ο1

ι .9851308622 1.9852682 154 1.9854055498 1.9855428652 1.9856801 6ΐ9

1.9858174396

1.9859546986 ι.9860919 3^7 ι .9862291 6οο 1.9863663 624

1.9865035 46ο ι . 9866407 ιο8 1.9867778568 1.9869149 840 1.9870520924

1.9871891 820 1.9873262 528 1.9874633048 1.9876003 380

| Ι.9877373525

ài

1379 215 1379025 1378835 1378645 1378454

1378265 1378075 1377885 1377695 1377505

137731.6 1377 126 1376936 1376 747 1376557

1376368 1376 178 1375 989 1375 800 1375610

1375 422 1375232 1375043 1374854 1374 665

1374476 1374287 1374098 1373 909 1373 721

1373532 1373344 1373 154 1372967 1372777

1372590 1372401 1372213 1372024 1371 836

1371648 1371 460 1371 272 1371 084 1370896

1370708 1370520 1370332 1370145 1369957

- Δ ,

19° 19° 190 19° 190

190 ι9° 190 190 19°

χ9° 19° 190 ι9° ι9°

190 190 χ 9 0

190 ι 8 9

189 ϊ 8 9 189 189 i8g

189 189 189 189 189

l S 9 ι 8 9 ι88 ι88 ι88

ι88 ι88 ι88 ι88 ι88

ι88 ι88 ι88 ι88 ι88

ι88 ι88 ι88 ι88 ι88

63

Page 72: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7.300 7.301 7.302 7.303 7-504

7.305 7 3 θ 6 7.307 7.308 7.309

7.310 7 5 1 1 7 3 1 2 7 3 1 5 7 5 1 4

7 315 7.316 7.317 7.31« 7 3 1 9

7 3 2 0 7.321 7.322 7.323 7.324

7.325 7.326 7.327 7.328 7.329

7.330 7.331 7.332 7-355 7.334

7-355 7.536 7.337 7.338 7.339

7.340 7.341 7.342 7.343 7.344

7.345 7.546 7.347 7.348 7.349

In x

1.9878745482 1.9880115 251 1.9881482832 1.9882852226 1.9884221 433

1.9885590452 1.9886959284 1.9888327928 1.9889696385 1.9891064 655

1.9892432738 1.9893800633 1.9895168 342 1.9896535863 1.9897903 197

1.9899270345 1.9900637305 1.9902004.079 1.9903370666

I .W904 7 3 7 06(1

1.9906103 280 1.9907469 307 1.9908835147 1.9910200 801 I .99II566 268

1.9912931 549 1.9914296 644 1,9915661 552 1.9917026 274 1.9918390 809

1.9919755 159 1.992II19 322 1.992248$ 300 1.9923847091 1,9925210606

1.9926574 116 1.9927937350 1.9929500597 1.9930663 259 1.9932025 936

1.9933388426 1.9934750731 1.9936112 851 1.9937474785 1.993883Ó535

1.9940198 096 1.9941559474 1.9942920 666 1.9944281 674 1.9945642495

Δχ

1369 769 1369581 1569394 1369 207 1369019

1368832 1368644 1368 457 1368270 1368083

1367895 1367709 1367 521 1367354 1367 148

1366 960 1366 774 1366587 1366400 1366 2i4

1366027 1365 840 1365654 1365467 1365 28i

1365095 1364908 1364 722 1364535 1364350

1364163 1365978 1363 791 1363605 1363 420

1365234 1363047 1362862 1362677 1362 490

1362 305 I362 120 1361954 Ì361 748 I361 563

1361 378 1361 I92 1361 008 I36082I I360637

- Δ 2

i 8 8 188 188 188 188

188 187 187 187 187

187 187 187 187 187

187 187 187 187 187

187 187 187 187 187

187 187 187 186 186

186 186 186 186 186

186 186 186 186 186

186 186 186 185 185

185 185 185 185 185

X

7.5SO 1 7.551 1 7.352

7.353 7.354

7.355 7.356 7.357 7.358 7.359

7.360 7.561 7.362 7.363 7.364

7.365 7.366 7.567 7.568 7.369

7-370 7.571 7.572 7.573 7.374

7.375 7.376 7.377 7.378 7.379

7.380 7.581 7.582 7.585 7.584

7.585 7.586 7.587 7.588 7.589

7.590 7.591 7.592 7.595 7.594

m

7.595 7.596

7.597 7.398 7.599

In x

1.9947003 132 1.9948363 584 1.9949725 851 1.9951083932 1.9952443829

1.9955805541 1.9955163067 1,9956522410 1.9957881567 1.9959240559

1.9960599327 1.9961.957951 1.9963316350 1.9964674584 1.9966032 634

1.9967390499 1.9968748 180 1.9970105 677 1.9971462 990 1.9972820 118

1.9974177062 1.9975555822 1.9976890398 1.9978246 790 1.9979602 998

1.9980959022 1.9982314 863 1.9983670 519 1.9985025 992 1.9986581 281

1.9987756586 1.9989091 308 1.9990446046 1.9991800601 1.9995154972

1.9994509 160 1.9995863 164 1.9997216985 1.9998570625 1.9999924078

2.0001277 550 2.0002650458 2.0005985 545 2.0005556066 2.0006688605

2.0008040962 2.0009595 135 2.0010745 126 2.0012096 954 2,0015448559

Δχ

1560452 1560267 1560081 1559897 1559712

1559526 1559545 1559157 1558972 1558.788

1558604 1358419 1358234 1358050 1557865

1357681 1557497 1557513 1357128 1556944

1556 760 1556576 1556592 1556 208 1556024

1355841 1355656 1355475 1355289 1355105

1554922 1554758 1554555 1554571 1554188

1554004 1555 821 1555658 1555455 1555272

1555088 1552905 1552725 1552559 1552557

1552175 1551991 1551 808 1551625 1551445

- Δ ,

185 185 185 185 185

184 184 184 184 184

184 184 184 184 184

184 184 184 184 184

184 184 184 184 184

184 184 184 184 184

184 184 184 184 184

185 185 185 185 185

185 185 185 185 185

185 185 185 185 185

M

Page 73: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7-400 7-401 7-402 7.403 7-404

7-405 7·4θ6 7-407 7.4ο8 7.409

7-410 7-411 7-412 7.413 7.414

7.415 7 ·4 ΐ6 7.417 7 .4 ΐ8 7.419

7-420 7.421 7-422 7-423 7-424

7.425 7-425 7-427 7:428 7-429

7.430 7*43ΐ 7-432 7-433 7.434

7.435 7-436 7-437 7-438 7-439

7.440 7-441 7-442 7-443 7-444

7-445 7-446 7-447 7.448 7.449

1η χ

2.0014800002 2,0016151 262 2.0017502 340 2.0018853235 2.00202Ο3 947

2.0021554 477 2,0022904825 2,0024254990 2,0025604973 2.0026954774

2,0028304 393 2.0029653 830 2.0031003 084 2.0032352 157 2,0033701 047

2,0035049 756 2.0036398283 2.0037746628 2.0039094 791 2,0040442772

2.0041790572 2.0043138 19° 2,0044485 626 2,0045832881 2,οο47ΐ79 955

2.0048526 847 2.0049873 55 8

2.0051220087 2,0052566435 2.0053912602

2,0055258 587 2,0056604392 2.0057950015 1 2.0059295 457 2.0060640719

2.0061985 799 2.0063330699 2.0064675 417 2.0066019955 2.0067364 3 Ϊ 2

2.0068708488 2.0070052484 2,0071396299 2.0072739934 2.0074083 388

2.0075426661 2.0076769 755 2.0078112667 2.0079455 400 2.0080797952

Δ χ

1351 260 1351078 1350895 Ι3507Ι2 1350530

1350348 1350 165 1349983 1349801 1349619

1349 437 1349254 1349 073 1348890 1348 709

1348527 1348345 1348163 1347981 1347800

13476ι8 1347436 1347255 1347074 1346892

1346711 1346529 1346348 1346 167 1345985

1345 8θ5 1345 623 1345 442 1345 262 1343' ο8ο

1344900 1344718 1344 53 8

1344 357 1344176

1343 Q96

1343815 1343635 1343 454 1343273

1343 094 1342912 1342 733 1342552 1342 372

- Α

ι 8 3 ι 8 3

ι 8 3 ΐ 8 2 ΐ 8 2

ΐ 8 2 ΐ 8 2 ΐ 8 2 ΐ 8 2 ΐ 8 2

ΐ 8 2 ΐ 8 2 ΐ 8 2 ΐ 8 2 ΐ 8 2

ΐ 8 2 ΐ 8 2 ΐ 8 2 182 ΐ 8 2

ΐ 8 2 ι 8 ι ι 8 ι ι 8 ι ι 8χ

ι 8 ι ι 8 ι ι 8 ι ι 8 ι ι 8 ι

ι 8 ι ι 8 ι ι 8 ι ι 8 ι ι 8 ι

ι 8 ι ι 8 ι ι 8 ι ι 8χ ι 8 ι

ι 8 ι ι 8 ι ι 8 ι ι 8 ι ι 8 ο

ι 8 ο ι 8 ο ι 8 ο ι 8 ο ι 8 ο

X

7-450 7-451 7-452 7-453 7-454

7-455 7-456 7-457 7-458 7-459

7-46ο 7.46ι 7-462 7.463 7-464

7.465 7.466 7-467 7-468 7.469

7.470 7-471 7-472 7-473 7.474

7-475 7-476 7-477 7-478 7-479

7·48ο 7.481 7-482 7-483 7-484

7-485 7-486 7-487 7-488 7-489

7-490 7-491 7-492 7-493 7-494

7-495 7-496 7-497 7-498 7-4Q9

1η χ

2.0082140 324 2.0083482 5ΐ6 2.0084824 527 2.οο86ι66 359 2.0087508 ο ι ι

2.0088849482 2.0090190774 2.0091531 886 2.0092872 8 ι8 2.0094213 570

2.0095554 142 2.0096894535 2.0098234 748 2.0099574781 2.0100914635

2.0102254 31° 2.0103593 8θ5 2,οιο4933 121 2.0106272 257 2.0107611 2ΐ4

2.0108949991 2.01I0288 590 2.0111627009 2,0112965 249 2.0114303 311

2.0115641 193 2 .ο ι 16978 896 2.0118316 420 2.0119653 765 2.0120990932

2.0122327920 2.0123664 729 2.0125001 359 2.0126337811 2,0127674084

2.0129010 179 2.0130346095 2.0131681 832 2,0133017392 2.0134352773

2.0135687975 2.0137023 οοο 2.0138357846 2.0139692 514 2.0141027004

2.0142561 3χ6 2.0143695 449 2.0145029405 2.0146363 183 2.0147696 783

Δχ

1342 192 1342 o n 1341 832 1341 652 1341471

1341 292 Ι341 112 1340932 1340752 1340572

1540 393 1340 213 1340033 1339854 1339675

1339 495 1339316 1339136 1338957 1338777

1338599 1338419 1338240 1338062 1337882

1337 703 1337 524 1337 346 1337 ι66 1336988

1336 8θ9 133663c 1336452 1336273 1336095

1335916 1335737 1335560 1335 381 1335 202

1335025 1334846 1334668 1334490 1334312

1334 153 1333956 1333778 1333600 1333422

- Δ 2

ι 8 ο ι 8 ο ι 8 ο ι 8 ο ι 8 ο

ι 8 ο ι 8 ο ι 8 ο ι 8 ο ι 8 ο

ι 8 ο ι 8 ο 179 179 179

179 179 179 179 179

179 179 179 !79 !79

179 179 !79 179 179

179 179 179 179 179

179 178 ι 7 8 178 178

178 178 178 178 ΐ 7 8

178 178 178 178 178

65

Page 74: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7-500 7-501 7-502 7-503 7-504

7-505 7-506 7-507 7-508 7-509

7-510 7 - 5 " 7-512 7-513 7-514

7-515 7·5»6 7-517 7-518 7-519

7-520 7-521 7-522 7-523 7-524

7-525 7-526 7-527 7-528 7-529

7.530 7-531 7-532 7-533 7 534

7-535 7-53^ 7 5 3 7 7-538 7 5 3 9

7 540 7 541 7 542 7.543 7-544

7·545 7-546 7 5 4 7 7.548 7 5 4 9

In x

2.0149030205 2.0150363 45° 2.0151696 517 2.0153029406 2,0154362 117

2.0155694651 2,0157027007 2.0158359 186 2,015969! 187 2.0161023 o n

2.0162354658 2.0163686 127 2,0165017419 2.0166348 534 2,0167679472

2.0160,010232 2.0170340816 2.OI71671 222 2,0173001451 2.OI7433I 504

2.OI75661 380 2,0176991 078 2,ΟΙ7832θ6θΟ 2.OI79649946 2.O180979 114

2.O182308 106 2.O183636922 2.OI84965 561 2.OI86294023 2.OI87622 309

2.O18895O418 2.OI9O278 351 2.OI91606 108 2.OI92933688 2.OI94261O93

2.OI95588 321 2.OI96915 373 2.OI98242249 2.OI99568948 2.Ο2ΟΟ895472

2,0202221 82Ο 2.Ο2Ο3547992 2.Ô204873988 2.O206199809 2.O207525453

2,0208850 922 2.O2IOI76215 2.O2115OI 333 2.O212826275 2.O214151042

Δ ΐ

1333 245 1333067 1332889 1332711 1332534

1332356 1332 179 1332 οοι I33I 824 1331647

1331469 1331 292 1331 115 1330938 1330760

1330584 1330406 1330229 1330053 1329876

1329698 1329 522 1329346 1329 i68 1328992

1328816 1328639 1328 462-1328286 1328 109

1327933 1327757 1327580 1327405 1327228

1327052 1326876 1326699 1326 524 1326 348

1326 172 1325 096 1325 821 1325 644 1325 469

1325 293 1325 118 1324942 1324 767 1324 591

- Δ 2

178 178 178 178 i 7 8

178 178 178 177 177

177 177 177 177 177

177 177 177 177 177

177 176 177 177 176

177 177 177 177 177

176 176 176 176 176

176 176 176 176 176

176 176 176 176 176

176 176 176 176 176

X

7.550 7-551 7-552 7.553 7-554

7-555 7.556 7.557 7.558 7.559

7.500 7.561 7.562 7.563 7.564

7.565 7.566 7.567 7.568 7.569

7.570 7.571 7.572 7-573 7.574

7.575 7.576 7.577 7.578 7.579

7.580 7.581 7.582 7.583 7.584

7.585 7.586 7-587 7.588 7.589

7.590 7.591

7.592 7-593 7-594

7595 7 5 9 6

7.597 7.598 7-599

In x

2.0215475 633 2.0216800048 2.0218124288 2.0219448353 2.0220772 243

2.0222095 957 2.0223419496 2.0224742860 2.0226066049 2.0227389063

2.02287TI 902 2,0230034 566 2.0231357055 2,0232679 369 2.0234001 508

2.0235323472 2.0236645262 2.0237966877 2.0239288317 2.0240609583

2.0241930674 2.0243251 591 2.0244572333 2.0245892901 2.0247213295

2.0248533514 2.0249853559 2.0251173429 2.0252493 126 2.0253812648

2.0255131997 2.0256451 171 2.0257770171 2.0259088997 2.0260407650

2.0261726 128 2.0263044433 2.0264362 564 2.0265680521 2,0266998304

2.0268315914 2.0269633350 2.0270950613 2.0272267702 2.0273584618

2.0274901 360 2.0276217930 2,0277534325 2.0278850548 2.0280166597

Δ ΐ

1324415 1324240 1324065 1323890 1323 714

1323539 1323 364 1323 189 1323 o i4 1322 839

1322 664 1322489 1322 3i4 1322 139 1321 964

1321 790 1321 6i5 1321 440 1321 266 1321 091

1320917 1320742 1320568

,1320394 1320219

1320045 1319870 1319697 1319 522 1319349

1319174 1319000 1318826 1318653 1318478

1318305 1318131 1317957 1317783 1317610

1317436 1317 263 1317089 1316916 1316742

1316570 1316395 1316223 1316049 1315876

- Δ 2

175 175 175 175 175

175 175 175 175 175

175 175 175 175 175

175 175 175 175 175

175 175 174 174 174

174 174 174 174 174

174 '74 174 174 174

174 174 174 174 174

174 174 174 174 173

173 173 173 17* 173

66

Page 75: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7 · 6 ο ο 7 . 6 ο ι 7«6θ2 7 · 6 θ 3 7 · 6 θ 4

7 .605 7«6ο6 7 · 6 θ 7 7 . 6 ο 8 7 · 6 θ 9

7«6ιο 7·6ιι 7 . 6 1 2 7 . 6 1 3 7 · 6 ΐ 4

7 .615 7»6 ι6 7 . 6 1 7 7 · 6 ι 8 7 . 6 1 9

7 -620 7 . 6 2 1 7-622 7-623 7-624

7-625 7 . 6 2 6 7 . 6 2 7 7 . 6 2 8 7 -629

7 . 6 3 0 7 . 6 3 1 7 . 6 3 2 7-633 7-Ó34

7.635 7.636 7-637 7.638 7-639

7 . 6 4 0 7-641 7 -642 7-643 7 - 6 4 4

7-645 7 -646

7 -64^ 7 -649

1η χ

2 . 0 2 8 1 4 8 2 4 7 3 2 . 0 2 8 2 7 9 8 176 2 . 0 2 8 4 1 1 3 7°6 2 . 0 2 8 5 4 2 9 0 6 2 2 . 0 2 8 6 7 4 4 2 4 6

2 , 0 2 8 8 0 5 9 2 5 7 2 , 0 2 8 9 3 7 4 0 9 5 2 , 0 2 9 0 6 8 8 760 2 . 0 2 9 2 0 0 3 252 2 . 0 2 9 3 3 ι 7 572

2 . 0 2 9 4 6 3 1 7 χ 9 2 , 0 2 9 5 9 4 5 6 9 3 2 . 0 2 9 7 2 5 9 494 2 . 0 2 9 8 5 7 3 χ 2 3 2 . 0 2 9 9 8 8 6 580

2 , 0 3 0 1 1 9 9 8 6 3 2 . 0 3 0 2 5 1 2 9 7 5 2 .0303825 9 χ 4 2 . 0 3 0 5 1 3 8 6 8 1 2 . 0 3 0 6 4 5 1 2 7 5

2 . 0 3 0 7 7 6 3 6 9 7 2 . 0 3 0 9 0 7 5 9 4 7 2 . 0 3 1 0 3 8 8 0 2 5 2 . 0 3 1 1 6 9 9 9 3 0 2 .0313011 664

2 . 0 3 Μ 3 2 3 2 2 5 2 . 0 3 1 5 6 3 4 6 1 4 2 . 0 3 1 6 9 4 5 8 3 2

2 . 0 3 1 8 2 5 6 8 7 7 2 . 0 3 1 9 5 6 7 7 5 1

2%0320878 453 2 . 0 3 2 2 1 8 8 9 8 3 2 . 0 3 2 3 4 9 9 3 4 1 2 . 0 3 2 4 8 0 9 5 2 8

2 . 0 3 2 6 1 1 9 543

2 . 0 3 2 7 4 2 9 3 8 7 2 . 0 3 2 8 7 3 9 0 5 9 2 . 0 3 3 0 0 4 8 5 5 9 2 . 0 3 3 1 3 5 7 8 8 8 2 . 0 3 3 2 6 6 7 0 4 6

2 . 0 3 3 3 9 7 6 0 3 2 2 . 0 3 3 5 2 8 4 8 4 7 2 . 0 3 3 6 5 9 3 4 9 0 2.θ3379°ι 963 2 . 0 3 3 9 2 1 0 2 6 4

2 . 0 3 4 0 5 1 8 3 9 4 2 . 0 3 4 1 8 2 6 3 5 3 2 . 0 3 4 3 1 3 4 1 4 1 2 . 0 3 4 4 4 4 1 7 5 7 2 . 0 3 4 5 7 4 9 2 0 3

Δι

1315 703 1 3 1 5 5 3 0 1 3 1 5 3 5 6 1 3 1 5 1 8 4 1315 o n

1 3 1 4 8 3 8 1 3 1 4 6 6 5 1314 492 1314 3 2 0

1 3 1 4 1 4 7

1 3 1 3 9 7 4 1313 801 1 3 1 3 6 2 9 1 3 1 3 4 5 7 1 3 1 3 2 8 3

1313 »12 1 3 1 2 9 3 9 1312 767 1 3 1 2 5 9 4 1312 422

1312 250 Ι 3 1 2 0 7 8 131190$ 1 3 " 734 Ι 3 Ι Ι 561

13ΙΙ 389 131I 218 Ι 3 Ι Ι Ο 4 5 m o 874 1 3 1 0 7 0 2

1 3 1 0 5 3 0 1 3 1 0 3 5 8 1 3 1 0 1 8 7 1310015 1 3 0 9 8 4 4

1309 672 1309 500 1309 3 2 9 1309 158 1 3 0 8 9 8 6

1308815 1 3 0 8 6 4 3 1 3 0 8 4 7 3 1308 30ΐ 1308 1.30

1307 959 1 3 0 7 7 8 8 1307 616 1307 446 1307275

- Δ 2

173 173 173 173 173

173 173 173 173 173

173 173 172 173 172

172 172 172 172 172

172 172 172 172 172

172 172 172 172 172

172 172 172 172 172

172 172 171 171 171

171 171 171 171 171

171 171 171 171 171

X

7-650 7 . 6 5 1 7 . 6 5 2 7-653 7 -654

7-655 7 . 6 5 6 7 -657 7 -658 7-659

7 -66ο 7 · 6 6 ι 7 . 6 6 2 7 . 6 6 3 7 . 6 6 4

7-665 7 .666 7-66', 7 . 6 6 8 7 . 6 6 9

7 . 6 7 0 7 . 6 7 1 7 . 6 7 2 7 -673 7 . 6 7 4

7-675 7 . 6 7 6 7 -677 7 . 6 7 8 7 . 6 7 9

7 . 6 8 ο 7 · 6 8 ι 7 . 6 8 2 7 . 6 8 3 7 . 6 8 4

7 .685 7 . 6 8 6 7 . 6 8 7 7-688 7 . 6 8 9

7 . 6 9 0 7 . 6 9 1 7 . 6 9 2 7 -693 7 .694

7-695 7 . 6 9 6 7 -697 7 -698 7-699

1η χ

2 . 0 3 4 7 0 5 6 4 7 8 2 . 0 3 4 8 3 6 3 582 2 . 0 3 4 9 6 7 0 5 χ 6 2 . 0 3 5 0 9 7 7 2 7 8 2 . 0 3 5 2 2 8 3 870

2 . 0 3 5 3 5 9 0 2 9 ΐ 2 . 0 3 5 4 8 9 6 5 4 2

2 . 0 3 5 6 2 0 2 6 2 1 2 . 0 3 5 7 5 0 8 5 3 1 2 . 0 3 5 8 8 1 4 2 6 9

2 . 0 3 6 0 1 1 9 8 3 8 2 . 0 3 6 1 4 2 5 235 2 . 0 3 6 2 7 3 0 4 6 3 2 . 0 3 6 4 0 3 5 5 2 ° 2 . 0 3 6 5 3 4 0 4 0 7

2 . 0 3 6 6 6 4 5 123 2 , 0 3 6 7 9 4 9 6 7 0 2 . 0 3 6 9 2 5 4 0 4 6 2 . 0 3 7 0 5 5 8 2 5 2 2 . 0 3 7 1 8 6 2 2 8 8

2 . 0 3 7 3 1 6 6 154 2 . 0 3 7 4 4 6 9 8 5 0 2 . 0 3 7 5 7 7 3 3 7 6

2 . 0 3 7 7 0 7 6 7 3 2

2 . 0 3 7 8 3 7 9 9 1 8

2 . 0 3 7 9 6 8 2 9 3 5 2 .0380985 781 2 . 0 3 8 2 2 8 8 4 5 8 2 . 0 3 8 3 5 9 0 9 6 6 2 . 0 3 8 4 8 9 3 3 0 3

2 . 0 3 8 6 1 9 5 4 7 2 2 . 0 3 8 7 4 9 7 4 7 0 2 . 0 3 8 8 7 9 9 2 9 9 2 . ο $ 9 θ ΐ ο θ 9 5 9 2 . 0 3 9 1 4 0 2 4 4 9

2 . 0 3 9 2 7 0 3 770 2 , 0 3 9 4 0 0 4 9 2 1 2 . 0 3 9 5 3 0 5 9 0 4 2 . 0 3 9 6 6 0 6 717 2 . 0 3 9 7 9 0 7 3 6 1

2.ο3992°7 835 2 . 0 4 0 0 5 0 8 141 2 . 0 4 0 1 8 0 8 2 7 7 2 . 0 4 0 3 1 0 8 2 4 5 2 . 0 4 0 4 4 0 8 0 4 3

2 . 0 4 0 5 7 0 7 6 7 3 2 . 0 4 0 7 0 0 7 1 3 4 2 . 0 4 0 8 3 0 6 4 2 6 2 .0409605 549 2 . 0 4 1 0 9 0 4 503

Δχ

1307 104 1 3 0 6 9 3 4 1306 762 1306 592 1 3 0 6 4 2 1

1 3 0 6 2 5 1 13θ6 079 1305 9 1 ° 1305 738 1305 5 6 9

1305 397 Ι3Ο5 228 1305 057 1 3 0 4 8 8 7 1304 7ΐ6

1304 547 1 3 0 4 3 7 6 1304 2θ6 1 3 0 4 0 3 6 1303 866

1303 696 1303 5 2 6 ΐ3°3 356 1303 ι 8 6 1103 017

1 3 0 2 8 4 6 1 3 0 2 6 7 7 1302 5θ8 1 3 0 2 3 3 7 1302 169

Ι30Ι 998 1301 829 1301 66ο 1 3 0 1 4 9 0 1301 321

1301 151 1 3 0 0 9 8 3 1 3 0 0 8 1 3 1 3 0 0 6 4 4 1 3 0 0 4 7 4

1300 3θ6 1300 136 1299 968 1299 798 1299 630

1 2 9 9 4 6 1 1299 2 9 2

1299 123 1 2 9 8 9 5 4 1298 786

- Δ 2

171 171 171 171 171

171 170 170 170 Ι7°

170 170 17° 170 χ7°

170 170 170 170 1 7 °

170 170 170 170 170

170ΐ7ο 170 Ι 7 0 170

170 ID9 169 169 169

169 169 169 169 it>9

169 169 169 169169

169 169 169 169 169

67

Page 76: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

7-700 7.701 7-702 7.703 7.704

7.705 7·7°6 7-707 7·7°8 7.709

7.710 7.711 7.712 7.713 7.714

7-715 7.716 7.717 7.718 7.719

7-720 7.721 7.722 7-723 7.724

7-725 7.726 7-727 7-728 7-729

7.730 7-731 7-732 7.733 7-734

7-735 7-736 7-737 7-738 7-73Γ

7-740 7-741 7-742 7-743 7-744

7-745 7-746 7-747 7-748 7-749

1η Λ:

2.0412203 289 2.0413501 9°6 2.0414800354 2.0416098 634 2.0417396745

2.0418694688 2.0419992 462 2.0421290068 2.0422587 5ο6 2.0423884775

2.0425181 876 2.0426478809 2.0427775 573 2.0429072 17c 2.0430368 598

2.0431664 858 2.0432960950 2.0434256875 2.0435552631 2.0436848220

2.0438143640 2.0439438893 2.0440733978 2.0442028896 2.0443323646

2.0444618228 2.0445912642 2.0447206890 2.0448500969 2.0449794881

2.0451088626 2.0452382203 2.0453675613 2.0454968856 2.0456261 932

2.0457554 840 2.0458847582 2.0460140 156 2.0461432563 2.0462724803

2.0464016 876 2.0465308 782 2.Ο46660Ο 522 2.Ο467892094 2.0469183 500

2.ο470474 739 2.0471765 8 ι ι 2.0473056 7ΐ6 2.0474347 455 2.0475638028

Δχ

1298617 1298 448 1298 28ο 1298 m 1297943

1297 774 1297606 1297438 1297 269 1297 101

1296933 1296 764 1296 597 1296428 1296 260

1296092 1295 925 1295 756 1295 589 1295 420

1295253 1295 085 12949*8 1294 750 1294 582

1294 414 1294 248 1294 079 1293 912 1293 745

1293 577 1293 410 1293 243 1293 076 1292908

1292 742 1292574 1292 407 1292 240 1292073

1291 9°6 1291 740 1291 572

1291 4ο6 1291 239

1291 072 1290905 129° 739 1290 573 1290406

- Δ ,

169 ΐ69 Ι69 169 169

ι68 ι 6 8 ι 6 8 ι 6 8 ι68

ι 6 8 ι 6 8 ι 6 8 ι68 ι 6 8

ι 6 8 ι 6 8 ι 6 8 ι 6 8 ι 6 8

ι 6 8 ι 6 8 ι 6 8 ι 6 8 ι 6 8

167 167 ι 6 8 167 167

167 167 167 167 167

167 IÖ7 167 167 167

167 167 167 167 167

167 ι 6 6 ι 6 6 ι 6 6 167

X

7.750 7-751 7-752 7-753 7-754

7-755 7-756 7-757 7-758 7-759

7-760 7.761 7-762 7.763 7.764

7.765 7 · 766 7.767 7-768 7.769

7-770 7-771 7-772 7-773 7-774

7-775 7-776 7-777 7.778 7-779

7.780 7.781 7-782 7.783 7.784

Ί'Ί1\ 7-786 7-787 7.788 7-789

7-790 7-791 7-792 7-793 7-794

7-795 7·796

7-797 7-798 7-799

1η χ

2.0476928 434 2.0478218673 2.0479508746 2.0480798652 2.0482088 392

2.0483377966 2.0484667374 2.0485956615 2.0487245 690 2.0488534599

2.0489823 342 2.04911119 ι9 2.0492400329 2.0493688574 2.0494976653

2.0496264 $ö6 2.0497552313 2.0498839894 2.0500127 310 2.0501414 560

2.0502701 644 2.0503988 562 2.0505275 315 2.0506561 902 2.0507848324

2.0509134 581 2.0510420672 2.0511706 597 2.0512992 357 2.0514277952

2.0515563 382 2.0516848646 2.0518133 746 2.0519418680 2.0520703 449

2.0521988053 2.0523272492 2.0524556 766 2.0525840875 2.0527124 819

2.0528408 599 2.0529692 213 2.0530975663 2.0532258949 2.0533542069

2.0534825025 2.0536107816 2.0537390443 2.0538672 906 2.0539955203

Δχ

1290239 1290073 1289 9θ6 1289 740 1289574

1289 4ο8 1289 24ΐ 1289075 1288 909 1288 743

1288577 1288410 1288 245 1288079 1287913

1287 747 1287581 1287416 1287250 1287084

1286 9ΐ8 1286753 1286 587 1286 422 1286257

1286091 1285 925 1285 760 128$ 595 1285 43°

1285 264 1285 ιοο 1284 934 1284 769 1284604

1284 439 1284 274 1284 109 1283 944 1283 780

1283614 1283450 1283 286 Ι283 120 1282956

1282 791 1282627 1282 463 1282 297 1282 ι·34

- Δ 2

ι 6 6 ι 6 6 ιο6 166 166

166 166 166 166 166

ι66 ι 6 6 ι 6 6 ι66 ι 6 6

ι66 ι 6 6 ι 6 6 ι 6 6 ι66

ι 6 6 ι 6 6 ι 6 6 ι65 ι66

ι66 ι65 ι65 ι65

1 ι«5

ι65 ι65 ι65 ι65 ι65

ι65 ι 6 $

ι65 ι65 ι65

ι 6 5

164ι 6 5 l6J 165

16s 164165 164 164

68

Page 77: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

In x Δχ -Δ 2 in x Δχ

,8οο ,8οι ,802 .8ο3 8ο4

.8ο$ ,8ο6 ,8θ7 ,8ο8 ,8θ9

,8ιο ,8ιι ,8ΐ2

,8ΐ4

.81$ ,8ι6 .8ΐ7 ,8ι8 .8\9

,820 ,821 ,822 ,823 ,824

7-82$ 7.826 7.827 7.828 7.829

7-8*0 7.831 7-832 7-833 7-834

7-83$ 7.836 7.837 7.8 38 7.839

7-840 7-841 7-842 7.843 7*844

7-84$ 7-846 7.847 7.848 7.849

2.ο$4ΐ237 337 2.ο$42$ΐ9 3θ6 2.ο$438οι ι ι ι 2.ο$4$ο82 7$ι 2,0^46364228

2.ο$4764$$4ο 2.ο$ 48926 688 2.ο$ $0207 671 2.ο$$ΐ48849ΐ 2 .0^2769147

2.ο$ $4049 639 2.ο$$$529 9 6 6

2.ο$$66ιοΐ3θ 2.o$$7890i3C 2.ο$$9ΐ69 9^6

2.0560449639 2.ο$6ΐ729ι47 2 . ο$ 63008 492 2.0^64287674 2.ο$6$$66 69ΐ

2.ο$6684$ $46 2.ο$68ΐ24 236 2.0^69402763 2.ο$7θ68ι 127 2.ο$7ΐ959 327

2.ο$73237 364 2.ο$74$ι$238 2.0$ 7$ 792 948 2.ο$ 77070 495 2.0578347879

2.0$ 79*>2$ 100 2.0580902158 2.0$821790$2 2.ο$834$$784 2.0$84732 3$2

2.ο$86οο8 7$8 2.ο$8728$οοι 2.ο$88$6ιο8ι 2.0589836998 2.0$9ΙΙ12 7$2

2.0592388344 2 .ο$93^3 772 2.ο$94939θ39 2.0596214142 2.0597489083

2.0598763862 2.0600038478 2.0601312931 2.θ6θ2$87223 2.0603861 3$ι

ΐ28ι 969 ΐ28ι 8ο$ ΐ28ι 640 ΐ28ι 477 128ΐ 312

ΐ28ι 148 ΐ28ο 983 Ι28θ 820 ΐ28ο 6$6 ΐ28ο 492

ΐ28ο 327 ΐ28ο ι64 1280000 1279 836 1279 673

1279 $ο8 1279 34$ 1279 ι82 1279 017 12788$$

1278 690 1278 $27 1278 $64 1278 200 1278 037

1277 874 1277 7χο 1277 $47 1277384 1277 221

1277 ο$8 1276 894 1276 732 1276 $68 1276 4ο6

1276 243 1276 ο8ο 127$ 9*7 127$ 7$4 1275 592

1275 428 127$ 267 127$ Ι03 1274 941 1274 779

1274 6ι6 1274 4$3 1274 292 1274 128 1273 9^7

164 164 164 ι64 164

164 ι64 ιόφ ι64 ι64

164 ι6φ ι64 164 ι64

164 ι63 ιό4 ι64 ι64

ι64 IÒ3 ι63 ι63 163

16} ι63 ι63 ι63 χ63

ι63 ιό3 ι63 ι63 ι63

ι63 ι63 ι63 ι63 163

163 163 ι63 IÓ2 ΐ62

ι63 103 ΐ62 1Ó2 IÓ2

7.8$ο 7.851 7-852 7.85^ 7.854

7-855 7.856 7.857 7.858 7·859

7.86ο 7·86ι 7.862 7.863 7-864

7-865 7-866 7.867 7-868 7.869

7·87° 7.871 7.872 7-873 7.874

7-875 7.876 7-877 7.878 7.879

7.88ο 7.88ι 7-882

! 7·883 7.884

7-885 7.886 7.887 7.888 7.889

7.890 7.891 7.892 7-893 7-894

7-895 7.896 7.897 7.898 7.899

2.0605135 3ι8 2.0606409 122 2.0607682 764 2.0608956244 2.0610229 $62

2,0611502717 2.0612775 7 1 1

2.0614048542 2.061532I 2II 2.0616593 7*9

2.0617866064 2.0619138248 2.0620410270 2.0621682 130 2.0622953 828

2.0624225 365 2.0625496740 2.0626767953 2,0628039005 2.0629309896

.0630580624

.0631851 192

.0633121 597 0634391 842

.0635661 925

2.0636931 847 2.0638201608 2.063947 ι 2 ° 7 2.0640740645 2.0642009923

2.0643279039 2,ο644547994 2.0645816788 2.0647085 421 2.0648353 893

2.0649622204 2.0650890355 2.0652158 344 2.0653426173 2.0654693 841

2.0655961349 2.0657228695 2.0658495 882 2.0659762907 2.0661029 77 2

2,0662296477 2,0663563021 2.0664829405 2.0666095 629 2.0667361 692

12/3804 1273 642 1273 48ο 1273 3χ8 1273155

1272 994 1272831 1272 669 1272 5θ8 1272 345

1272 ι84 1272022 1271 86c 1271 698 1271 537

1271 375 1271213 1271052 1270 891 1270728

1270 568 1270405 1270245 1270083 1269922

1269 761 1269 599 1269438 1269278 1269 116

1268955 1268 794 1268633 1268472 1268 311

1268 151 1267 989 1267 829 1267 668 1267 508

1267 346 1267 187 1267 025 1266 865 1266 70$

1266 $44 1266 384 1266224 1266063 126$ 903

69

Page 78: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

7.900 7.901 7.902 7.903 7 904

7905 7.906 7.907 7.908 7 9 0 9

7.910 7 9 1 1 7 .91 2

7.913 7.914

7.915 7 .91 6

7.917 7.918 7.919

7.920 7.921 7.922 7.923 7.924

7.92$ 7.926 7.927 7.928 7.929

7.930 7.931 7.932 7.933 7.934

7935 7.936

7.937 7938 7.939

7940 7.941 7.942 7943 7.944

7945 7.946 7.947 7.948 7949

In x

2.0668627 595 2.0669893 337 2.0671158 920 2.0672424 342 2.0673689 604

2.0674954707 2.0676219649 2.0677484431 2.0678749053 2.0680013 515

2.0681277 818 2.0682541 960 2.0683805 943 2.0685069 766 2.0686333430

2.0687596933 2.0688860277 2.0690123 462 2.0691386487 2.0692649352

2.0693912058 2.0695174605 2.0696436992 2.0697699220 2,0698961 288

2.0700223 198 2.0701484948 2.0702746 539 2.0704007970 2.0705269243

2.0706530356 2.0707791 311 2.0709052 107 2.0710312743 2,0711573221

2.0712833 540 2.0714093700 2.0715353701 2.0716613 544 2.0717873227

2.0719132753 2.0720392 119 2.0721651 327 2.0722910377 2.0724169267

2.0725428000 2.0726686 574 2.0727944990 2.0*729203247 2.0730461 346

Δχ

1265 742 1265 583 1265 422 1265 262 1265 103

1264 942 1264 782 1264 622 1264 462 1264 303

1264 142 1263 983 1263 823 1263 664 1263 503

1263 344 1263 185 1263 025 1262 865 1262 7o6

1262 547

1262 228 1262 068 1261 910

1261 750 1261 591 1261431 1261 273 1261 113

1260955 126c 796 1260636 1260 478 1260 319

1260 160 1260001 1259 843 1259683 1259 526

1259 366 1259 208 1259050 1258890 1258733

1258 574 1258416 1258257 1258099 1257941

- Δ 2

i 6 o 160 160 160 160

160 160 160 160 160

1Ò0 160 160 160 160

159 159 160 159 159

159 159 159 159 159

159 159 159 159 159

159 159 159 159 159

159 159 159 159 159

I52 158 I5i 158 158

158 I5Ü 158 158 158

X

7.950 7.951 7.952 7.953 7.954

7.955 7.956 7.957 7.958 7.959

7.960 7.961 7.962 7.963 7.964

7.965 7.966 7.967 7.968 7.969

7.970 7.971 7.972 7.973 7.974

7.975 7.976 7.977 7.978 7.979

7.980 7.981 7.982 7.983 7.984

7.985 7.986 7.987 7.988 7.989

7.990 7.991 7.992 7.993 7.994

7.995 7.996 7.997 7.998 7.999

In x

2.0731719287 2.0732977069 2.0734234693 2,0735492 160 2.0736749468

2.0738006618 2.0739263 610 2.0740520444 2.0741777 120 2.0743033638

2.0744289999 2.0745546 201 2.0746802246 2.0748058 133 2.0749313 862

2.0750569433 2.0751824848 2.0753080104 2.0754335203 2.0755590144

2.0756844928 2,0758099554 2.0759354024 2.0760608335 2.0761862490

2.0763116487 2.0764370327 2.0765624009 2.0766877535 2.0768130903

2.0769384 115 2.0770637169 2.0771890067 2,0773142807 2.077439v5 390

2.0775647817 2.0776900086 2.0778152199 2.0779404 156 2.0780655955

2,0781907598 2.0783159084 2.0784410413 2.0785661 586 2.0786912 003

2.0788163463 2.0789414 166 2.0790664713 2.0791915 104

1 2.0793165339

* 1

1257782 1257624 1257467 1257308 1257 150

1256992 1256834 1256676 1256 518 1256 361

1256 202 1256045 1255887 1255 729 1255571

1255 415 1255 256 1255099 1254941 1254 784

1254626 1254 470 1254311 1254155 1253997

1253840 1253682 1253 526 1253 368 1253 212

1253054 1252898 1252 740 1252583 1252427

1252269 1252 113 1251957 1251799 1251 643

1251486 1251 329 1251 173 1251017 1250860

1250 703 1250547 1250 391 1250235 1250078

- Δ 2

158 158 i 5 8 158 i 5 8

158 158 158 158 158

158 158 158 158 157

158 158 158 158 158

157 157 157 157 157

157 157 157 157 157

157 15Z 158 157 157

1S1 156 157 157 157

157 157 l5i 156 157

156 156 '56 156 156

70

Page 79: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

I 8.000 1 8.001 1 8.002 1 8.003 1 8.004

1 8.005 1 8.006 1 8.007

8.008 1 8.009

1 8.010 8,011

1 8.012 8.013 8.014

1 8.015 8,016 8.017

1 8.018 1 8.019

1 8.020 I 8.021 I 8.022 1 8,023 1 8.024

8.Ο25 8.Ο26 8.Ο27 8,028

1 8.029

8.030 8.031 8.032 8.033 8.034

8.035 8.036 8.037 8.038 8.039

8,040 8.041 8.042 8.043 8.044

8.045 8.046 8.047 8.048 8,049

In x

2 . 0 7 9 4 4 1 5 4 x 7 2 . 0 7 9 5 ^ 6 5 3 3 9 2 ,0796915 104 2 , 0 7 9 8 1 6 4 7 1 4 2 . 0 7 9 9 4 1 4 167

2 . 0 8 0 0 6 6 3 4 6 4 2 , 0 8 0 1 9 1 2 606 2 . 0 8 0 3 1 6 1 591 2 . 0 8 0 4 4 1 0 420 2 . 0 8 0 5 6 5 9 0 9 3

2 . 0 8 0 6 9 0 7 611 2 .0808155 972 2 . 0 8 0 9 4 0 4 178 2 , 0 8 1 0 6 5 2 2 2 8 2 , 0 8 1 1 9 0 0 122

2 . 0 8 1 3 1 4 7 8 6 1 2 . 0 8 1 4 3 9 5 4 4 3 2 , 0 8 1 5 6 4 2 8 7 1 2 . 0 8 1 6 8 9 0 142 2 . 0 8 1 8 1 3 7 2 5 8

2 . 0 8 1 9 3 8 4 219 2 . 0 8 2 0 6 3 1 024 2 .0821877 673 2 . 0 8 2 3 1 2 4 168 2 . 0 8 2 4 3 7 0 5 0 7

2 . 0 8 2 5 6 1 6 6 9 0 2 . 0 8 2 6 8 6 2 7 1 8 2 . 0 8 2 8 1 0 8 591 2 , 0 8 2 9 3 5 4 309 2 . 0 8 3 0 5 9 9 8 7 2

2 . 0 8 3 1 8 4 5 2 8 0 2 . 0 8 3 3 0 9 0 532 2 , 0 8 3 4 3 3 5 6 2 9 2 . 0 8 3 5 5 8 0 5 7 2 2 .0836825 359

2 . 0 8 3 8 0 6 9 9 9 2 2 . 0 8 3 9 3 1 4 4 7 0 2 .0840558 792 2 . 0 8 4 1 8 0 2 960 2 . 0 8 4 3 0 4 6 973

2 . 0 8 4 4 2 9 0 8 p 2 . 0 8 4 5 5 3 4 5 3 6

2 . 0 8 4 6 7 7 8 0 8 5 2 .0848021 479 2 . 0 8 4 9 2 6 4 719

2 . 0 8 5 0 5 0 7 8 0 4 2 . 0 8 5 1 7 5 0 7 3 5 2 .0852993 512 2 . 0 8 5 4 2 3 6 134 2 . 0 8 5 5 4 7 8 6 0 1

* 1

I249 922 I249 765 I24961O I 2 4 9 4 5 3 I249 297

I249 X42 I 2 4 8 9 8 5 I248 829 I 2 4 8 6 7 3 I248 5I8

I248 361 I248 206 I24805O I247 894 I 2 4 7 7 3 9

I247 582 I 2 4 7 4 2 8 I 2 4 7 2 7 I 1247 xx6 1 2 4 6 9 6 1

1246 805 1246 649 1 2 4 6 4 9 5 1246 339 1246 183

1 2 4 6 0 2 8 1245 873 1245 7x8 1245 5 6 3 1245 408

1245 252 1245 097 1 2 4 4 9 4 3 1 2 4 4 7 8 7 1 2 4 4 6 3 3

1 2 4 4 4 7 8 1244 322 1244 168 1244 013 1243 859

1243 704 1243 549 1243 394 " 1243 240 1243085

1242 931 1242 777 1 2 4 2 6 2 2 1 2 4 2 4 6 7 1 2 4 2 3 1 3

- Δ 2

i $ 6 i $ 6 i $ 6

1 156 i 5 6

i $ 6 156 156 156 156

156 156 156 156 X56

156 156 156 X55 X55

156 '55

156 X55

X55 X55 155 X55 X55

155 155 155 155 155

X55 155 155 155 155

155 X55 155 X55 X55

154 X55 X55 154 X54

X

8 . 0 5 0 8 . 0 5 1 8 . 0 5 2 8 . 0 5 3 8 . 0 5 4

8 . 0 5 5 8 . 0 5 6 8 . 0 5 7 8 . 0 5 8 8 . 0 5 9

8 . 0 6 0 8 . 0 6 1

1 8 . 0 6 2 8 . 0 6 3 8 . 0 6 4

8 .065 8 . 0 6 6 8 , 0 6 7 8 . 0 6 8 8 . 0 6 9

8 . 0 7 0 8 . 0 7 1 8 . 0 7 2 8 . 0 7 3 8 . 0 7 4

8 . 0 7 5 8 . 0 7 6 8 . 0 7 7 8 . 0 7 8 8 . 0 7 9

8 . 0 8 0 8 , 0 8 1 8 . 0 8 2 8 . 0 8 3 8 . 0 8 4

8 . 0 8 5 8 . 0 8 6 8 . 0 8 7 8 . 0 8 8 8 , 0 8 9

8 . 0 9 0 8 . 0 9 1 8 . 0 9 2 8 . 0 9 3 8 . 0 9 4

8 .095 8 . 0 9 6 8 . 0 9 7 8 . 0 9 8 8 . 0 9 9

In x

2 . 0 8 5 6 7 2 0 9 1 4 2 . 0 8 5 7 9 6 3 0 7 3 2 . 0 8 5 9 2 0 5 0 7 8 2 . 0 8 6 0 4 4 6 9 2 8 2 . 0 8 6 1 6 8 8 6 2 4

2 , 0 8 6 2 9 3 0 166 2 . 0 8 6 4 1 7 1 5 5 4 2 . 0 8 6 5 4 1 2 7 8 8 2 . 0 8 6 6 6 5 3 8 6 8 2 . 0 8 6 7 8 9 4 793

2 .0869135 565 2 .0870376 183 2 . 0 8 7 1 6 1 6 647 2 . 0 8 7 2 8 5 6 9 5 7 2 . 0 8 7 4 0 9 7 113

2 . 0 8 7 5 3 3 7 116 2 , 0 8 7 6 5 7 6 9 6 5 2 .0877816 660 2 . 0 8 7 9 0 5 6 201 2 .0880295 589

2 . 0 8 8 1 5 3 4 8 2 3 2 . 0 8 8 2 7 7 3 903 2 . 0 8 8 4 0 1 2 8 3 1 2 .0885251 604 2 . 0 8 8 6 4 9 0 2 2 4

2 , 0 8 8 7 7 2 8 6 9 1 2 . 0 8 8 8 9 6 7 0 0 5 2 .0890205 165 2 , 0 8 9 1 4 4 3 171 2 . 0 8 9 2 6 8 1 025

2 . 0 8 9 3 9 1 8 725 2 . 0 8 9 5 1 5 6 273 2 .0896393 667 2 . 0 8 9 7 6 3 0 9 0 8 2 . 0 8 9 8 8 6 7 9 9 5

2 . 0 9 0 0 1 0 4 9 3 0 2 .0901341 712 2 .0902578 341 2 . 0 9 0 3 8 1 4 817 2 .0905051 140

2 . 0 9 0 6 2 8 7 3 1 1 2 . 0 9 0 7 5 2 3 328 2 , 0 9 0 8 7 5 9 193 2 . 0 9 0 9 9 9 4 9 0 5 2 . 0 9 1 1 2 3 0 4 6 5

2 . 0 9 1 2 4 6 5 8 7 1 2 .0913701 125 2 , 0 9 1 4 9 3 6 227 2 .0916171 176 2 . 0 9 1 7 4 0 5 9 7 3

Δχ

1242 159 1242 005 I 2 4 I 8 5 0 1241 696 I 2 4 1 5 4 2

1 2 4 1 3 8 8 1 2 4 1 2 3 4 1 2 4 1 0 8 0 1240 925 1240 772

1 2 4 0 6 1 8 1240 464 1 2 4 0 3 1 0 1240 156 1 2 4 0 0 0 3

1239 849 1 2 3 9 6 9 5 1 2 3 9 5 4 1 1239 388 1239 234

1 2 3 9 0 8 0 1 2 3 8 9 2 8 1 2 3 8 7 7 3 1238 620 1 2 3 8 4 6 7

1238 314 1238 160 1238 006 1 2 3 7 8 5 4 1 2 3 7 7 0 0

1 2 3 7 5 4 8 1 2 3 7 3 9 4 1 2 3 7 2 4 1 1 2 3 7 0 8 7 1236935

1236 782 1 2 3 6 6 2 9 1 2 3 6 4 7 6 1236 323 1236 171

1 2 3 6 0 1 7 1235 865 1235 712 1235 560 1235 406

1 2 3 5 2 5 4 I235 102 1234 949 1234 797 1 2 3 4 6 4 4

- Δ 2

X54 i < 4 X54 154 X54

154 X54 X54 . 154 X54

154 X54 X54 X54 X54

154 X54 154 154 x$4

X53 153 154 X53 X53

153 x<4 X53 X53 153

153 X53 X53 153 X53

X53 X53 X53 X53 X53

153 153 X53 153 X53

152 152 152 152

/ 1

Page 80: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

8.100 8.101 8.102 8.103 8.104

8.105 8.ιο6 8.107 8.108 8.109

8.110 8 . i n 8.112 8.113 8.114

8.115 8.116 8.117 8.118 8.119

8.120 8.121 8.122 8.123 8.124

8.125 8.126 8.127 8.128 8.129

8.130 8.131 8.132 8.133 8.134

8.135 8.136 8.137 8.138 8.139

8.140 8.141 8.142 8.143 8.144

8.145 8.146 8.147 8.148 8.149

In x

2.0918640617 2.0919875 108 2.0921109 448 2.0922343635 2.0923577669

2.0924811 552 2.0926045 282 2.0927278860 2.0928512286 2.0929745 560

2.0930978681 2.0932211 651 2.0933444468 2.0934677134 2.0935909648

2.0937142 010 2.0938374220 2.0939606278 2.0940838184 2.0942069939

2.0943301 542 2.0944532993 2.0945764293 2.0946995441 2,0948226437

2.0949457282 2.0950687976 2.0951918 518 2.0953148908 2.0954379 148

2.0955609 23ο 2.0956839 172 2.0958068958 2.0959298 592 2.0960528075

2.0961757407 2.0962986 587 2.0964215617 2.0965444496 2.0966673223

2.0967901 800 2.0969130226 2.0970358501 2.0971586625 2.0972814598

2.0974042421 1 2.O97527O092

2.0976497613 2.0977724984 2.0978952203

* 1

1234491 1234 340 1234187 1234034 1233883

1233730 ! 1233578 1233 426 1233 274 1233121

1232 970 1232817 1232 666 1232 514 1232 362

1232 210 1232058 1 1231 906 1231755 1231 603

1231451 1231300 1231 148 1230 996 1230845

1230694 1230542 1230390 1230240 1230088

1229936 1229 786 1229 634 1229483 1229 332

1229 180 1229030 1228 879 1328 727 1228 577

1228 426 1228275 1228 124 1227973 1227 823

1227 671 122752 t 1227 371 1227 219 1237 070

- Δ 2

152 152 153 152 152

152 152 152 152 152

152 152 152 152 152

152 152 152 152 152

152 152 152 152 151

151 152 151 151 152

151 151 151 151 151

151 ! 151 151 151 151

151 151 151 151 151

151 150 151 151 151

X

8.150 8.151 8.152 S.153 8.154

8.155 8.156 8.157 8.158 8.159

8.160 8.161 8.162 8.163 8.164

8.165 8.166 8.167 8.168 8.169

8.170 8.171 8.172 8.173 8.174

8.175 8.176 8.177 8.178 8,179

8.180 8.181 8.182 8.183 8.184

8.185 8.186 8.187 8.188 8.189

8.190 8.191 8.192 8.193 8.194

8.195 8.T96 8.197 8.198 8.199

In x

2.0980179273 2.0981406 191 2.0982632959 2.0983859577 2.0985086044

2.0086312361 2Ä)9«7538 527 2.0988764543 2.0989990409 2.0991216 124

2.0992441690 2.0993667105 2.0994892370 2.0996117 485 2.0997342449

2.0998567264 2.0999791929 2.1001016444 2 . 1C02240 809 2.1003465 024

2.1004689089 2.1005913004 2.1007136770 2.1008360385 2.1009583 851

2.1010807 168 2.1012030335 2.1013253352 2.1014476219 2.1015698938

2.1016921 506 2.1018143925 2.1019366 195 2.1020588315 2.1021810286

2.1023032 108 2.1024253 781 2.1025475304 2.1026696678 2.1027917903

2.1029138979 2.1030359905 2.1031580683 2.1032801312 2.1034021791

2.1035242122 2.1036462304 2.1037682337 2.1038902221 2.1040121956

Δ ι

1226 9i8 1226 768 1226618 1226 467 1226317

1226 166 1226 016 1225 866 1225 715 1225 566

1225 415 1225 265 1225 115 1224 964 1224815

1224 665 1224515 1224 365 1224 215 1224 065

1223915 1223 766 1223615 1223 466 1223 317

1223 167 1223 017 1222 867 1222 719 1222 568

1222 419 1222 270 1222 120 1221 971 1221 822

1221 673 1221 523 1221 374 1221 225 1221 076

1220 926 1220 778 1220 629 1220 479 1220331

1220 182 1220033 1219 884 1219 735 1219587

- Δ ,

151 150 150 150 150

150 150 151 150 150

150 ! 150 150 150 150

150 150 150 150 150

150 150 150 149 150

150 150 149 149 149

149 149 149 149 149

149 149 149 149 149

149 149 149 149 149

149 149 149 149 149

72

Page 81: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

8.200 8.201 8.202 8.203 8.204

8.205 8.2θ6 8.207 8.208 8.209

8.210 8.211 8.212 8.213 8.214

8.215 8.216 8.217 8.218 8.219

8.220 8.221 8.222 8.223 8.224

8.225 8.226 8.227 8.228 8.229

8.230 8.231 8.232 8.233 8.234

i l ·2 3! 8.236 5·23Ζ 8.238 8.239

8.240 8.241 8.242 8.243 8.244

8.245 8.246 8.247 8.248 8.249

In x

2.1041341 543 2.1042560981 2.1043780270 2.1044999410 2.1046218402

2.1047437245 2.1048655 940 2.1049874486 2.1051092884 2.1052311 134

2.1053529235 2.1054747187 2.1055964992 2.1057182648 2.1058400155

2.1059617515 2.1060834726 2.1062051 789 2.1063268 705 2.1064485472

2.1065702 091 2.1066918 562 2.1068134885 2.1069351060 2.1070567087

2,1071782967 2.1072998 698 2.1074214282 2.1075429 718 2.1076645 006

2.1077860147 2.1079075 140 2.1080289985 2.1081504683 2.1082719233

2.1083933636 2,1085147892 2.1086362 000 2.1087575 960 2.1088789773

2.1090003439 2.1091216958 2.1092430329 2.1093643553 2.1094856630

2,1096069 560 2.1097282343 2.1098^494979 2.1099707467 2.1100919809

Δχ

1219438 1219 289 1219 140 1218992 i 2 i 8 843

1218695 1218 546 1218398 1218250 I2l8 101

1217952 1217805 1217656 I2I7507 1217 360

12172II 1217063 I2I6916 1216 767 1216619

1216471 1216 323 I2I6 175 1216027 1215 880

1215731 1215 584 1215436 1215 288 1215 141

1214993 I2I4 845 1214698 1214550 1214403

1214 256 1214 108 1213960 1213 813 1213 666

1213 519 1213 371 1213 224 1213077 1212 930

1212 783 1212636 1212488 1212 342 1212 194

- Δ 2

149 149 149 149 149

149 149 148 148 149

148 148 149 148 148

148 148 148 148 148

148 148 148 148 148

148 148 148 148 148

148 148 148 148 147

147 148 147 147 147

147 147 147 147 147

147 147 147 147 147

X

8.250 8.251 8.252 8.253 8.254

8.255 8.256 8.257 8.358 8.259

8.26o 8.261 8.262 8.263 8.264

8.265 8.266 8.267 8.268 8.269

8.270 8.271 8.272 8.273 8.274

8.275 8.276 8.277 8.278 8.279

8.280 8.281 8.282 8.283 8.284

8.285 8.286 8.287 8.288 8.289

8.2ÇO 8.291 8.292 8.293 8.294

8.295 8.296 8.297 8.298 8.299

Jn x

2.1102132003 2.1103344 051 2.1104555952 2.1105767706 2.1106979 313

2.1108190774 2.1109402 087 2.1110613254 2.1111824 275 2.1113035 148

2.1114245 875 2.1115456456 2.1116666 890 2.1117877 177 2.1119087 318

2.1120297 313 2.1121507 161 2.1122716 863 2.1123926 418 2.1125135 827

2.1126345 oço 2.1127554207 2,1128763 178 2.1129972002 2.1131180680

2.1132389 213 2.1133597599 2.1134805 839 2.1136013933 2.1137221 882

2,1138429684 2.1139637 341 2.1140844851 2.1142052216 2.1143259435

2.1144466 509 2.1145673437 2.1146880 219 2.1148086855 2.II49293346

2.1150499 691 2.II517O589I 2.II529II 946 2.1154117^55 2.II55323618

2,1156529236 2.II57734709 2.II5894OO37 2.I160145 219 2.I16135O256

Δι

1212 048 'l21I 90I I211754 iteli 607 1211 461

1211 313 1211167 1211021 1210873 1210727

1210581 1210434 1210287 1210 141 1209 995

1209 848 1209 702 1209 555 1209 409 1209 263

1209 117 1208 971 1208 824 1208 678 1208533

1208 386 1208 240 1208 0Q4 1207949 1207 802

1207657 1207 510 1207 365 1207 219 1207071

1206 928 1206 782 1206636 1206491 1206 345

I206 200 I206055 I205 909 1205 763 I205 618

1205 473 1205 328 1205 182 1205 037 1204 892

- Δ 2

147 147 U 7 147 Ü 7

147 146 147 147 146

147 147 146 146 146

146 146 146 ι46 146

146 146 146 146 146

146 146 146 146 146

146 146 146 146 146

146 146 146 146 145

145 145 146 145 145

145 145 145 145 145

73

Page 82: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

8.300 8.301 8.302 8.303 8.304

8.305 8.306 8.307 8.308 8.309

8.310 8.311 8,312 8.313 8.314

8.31$ 8.316 8.317 8.318 8.319

1 8.320 8,321

1 8.322 8.323 8.324

8.32$ 8.326 8.327 8,328 8.329

8.330 8.331 8.332 8.333 8.334

8.33$ 8.336 8.337 8.338 8.339

8.340 8.341 8.342 8.343 8.344

8.34$ 8.346 8.347 8.348 8.349

In x

2.11625$$ 148 2.1163759895 2.1164964496 2,1166168953 2.1167373 264

2.1168577 431 2.1169781 452 2.1170985 329 2.1172189060 2.1173392647

2.1174596089 2,1175799386 2.1177002 538 2.1178205 54$ 2.1179408408

2.1I8061I 126 2.118I8I3 700 2.II830I6 129 2,1184218413 2 .n8$420$$3

2.1186622 $48 2.1187824399 2.1189026 106

2.119142908$

2.1192630 3$9 2.1193831 488 2.1195032473 2.1196233 313 2.1197434 ο 1 0

2.1198634562 2.1199834970 2.I20I035 234 2.1202235 354 2.120343$ 33°

2.120463$ i62 2.1205834850 2.1207034394 2.1208233 795 2.1209433051

2.1210632 164 2.1211831133 2.1213029 958 2.1214228639 2.1215427177

2.121662$ $71 2.1217823 822 2.1219021 929 2.1220219 892 2.1221417 712

Δ ΐ

1204 747 1204 6oi 1204 4$ 7 1204 311 1204 167

1204021 1203 877 1203 731 1203 $87 1203 442

1203 297 1203 *52

1203 007 1202 863 1202 718

1202 $74 1202429 1202 284 1202 140 1201 99$

1201 8$i 1201 707 1201 $62 1201 417 1201 274

1201 129 1200 98$ 1200 840 1200697 1200 $$2

1200 408 1200 204 1200 120 1199975 1199 832

1199 688 | 1199544 1199 401 1199256 1199113

1198969 1198825 1198681 1198538 1198394

11982$! 1198107 1197 963 1197820 1197677

- Δ 2

M$ 14$ 14$ 14$ 14$

14$ 14$ 14$ 14$ 14$

14$ 14$ 14$ 14$ 14$

14$ 14$ 14$ 14$ M$

144 U4 | 14$ 144 144

144 144 144 | 144 144

144 M4 144 144 144

144 144 144 M4 144

144 144 144 144 144

144 144 144 M3 143

X

8.350 8.351 8.352 8.353 8.354

8.3$$ 8.3$6

1 8.357 8.358 8.359

8.360 8,361 8.362 8.363 8.364

8.365 8.366 8.367 8.368 8.369

8.Î70 8.371 8.372 8.373 8.374

8.37$ 8.376 8.377 8.378 8.379

8.380 8.381 8.382 8.383 8.384

8.38$ 8.386 8.387 8.388 8.389

8.390 8.391 8.392 8.393 8.394

8.39$ 8.396 8-397 8.398 8.399

In x

2.1222615 389 2.1223812922 2.1225010311 2.1226207558 2.1227404661

2.1228601620 2.1229798437 2.1230995 n o 2.1232191 640 2.1233388027

2.1234584271 2.1235780372 2.1236976 329 2.1238172 144 2.1239367816

2.1240563 344 2.1241758730 2.1242953973 2.1244149073 2.1245344031

2.124653884$ 2.1247733517 2.1248928046 2.1250122432 2.1251316676

2.1252510777 2.1253704736 2.1254898 $$2 2.12$6θ92 22$ 2.12$728$ 7$6

2.I258479 14$ 2.12$9672 39I 2.126θ86$ 49$ 2.i2620$8 4$7 2.12632$! 276

2.I264443953 2.i26$636 487 2.1266828880 2.1268021 130 2.1269213 239

2.127040$ 20$ 2 .127^97029 2.1272788711 2.1273980 2$ 1 2 . i27$ i7 i649

2.127636290$ 2.1277$ $4 020 2.1278744992 2.127993$ 823 2.1281126 $11

At

1197533 1197589 1197247 1197 103 1196959

1196 817 1196 673 1196 $30 1196 387 1196 244

1196 101 1195957 119581$ 119$ 672 119$ $28

119$ 386 119$ 243 119$ 100 1194 9$8 1194 814

1194672 1194 $29 1191386 1194244 1194101

1193959 1193816 1193673 1193531 1193389

1193 246 1193104 1192 962 TI928I9 1192677

1192534 1192393 II92 2$0 II92 IO9 1191 966

II91824 II91682 i i 9 i $ 4 0 1191398 H 9 i 2 $ 6

1191115 1190972 1190831 1190688 H90$47

- Δ 2

144 143 M 3 144 143

143 143 145 143 143

143 143 143 143 143

T43 143 143 143 M 3

143 143 143 143 143

143 143 143 142 142

142 142 142 142 142

142 142 142 142 142

142 142 142 142 142

142 142 142 142 141

74

Page 83: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

8.400 8.401 8.402 8.403 8.404

8.405 8.4o6 8.407 8.408 8.409

8.410 8.411 8.412 8.413 8.414

8.415 1 8.416

8.417 8.418 8.419

8.420 I 8.421 I 8.422

8.423 8.424

8.425 8.426 8.427 8.428

I 8.429

8.430 8.431 8.433 8.433 8.434

8.435 8.436 8.437 8.438 8.439

1 8.440 8.441

I 8.442 8.443 8.444

8.445 I 8.446 I 8.447

8.4*8 8.449

In x

2.1282317058 2.1283507464 2.1284697727 2.1285887849 2.1287077830

2.1288267669 2.1289457366 2.1290646922 2.1291836336 2.1293025 609

2.1294214 740 2.1295403 730 2.1296592 578 2.1297781 286 2.1298969 852

2,1300158276 2.1301346 560 2.1302534702 2.1303722703 2.1304910564

2.1306098283 2.1307285 860 2.1308473297 2.1309660593 2.1310847 748

2.1312034 762 2.1313221 636 2.1314408 368 2.1315594959 2.13I678I 410

2.1317967 720 2.I319I53889 2.1320339918 2.1$21525 806 2.I3227H 553

2.I323897 l6o 2.I325082626 a. 1326267 952 2.1327453137 2.1328638182

2.1329823086 2.1331007850 2.1332192474 2.1333376957 2.1334561300

2.1335745503 2,1336929565 2.1338113 187 2.1339297270 2.1340480912

Δχ

II9O406 1190 263 1.190 122 1189 981 1189839

1189697 1189 556 1189 414 1189 273 1189 131

1188 990 1188 848 1188 708 1188566 1188 424

1188 284 1188 142 1188001 1187861 1187 719

1187577 1187437 1187 296 1187155 1187 014

1186874 1186732 1186 591 1186 451 1186 310

1186 169 1186029 1185888 II85747 1185 607

1185466 1185 326 1185185 II85045 1184904

118 4 764 1184624 1184483 1184 343 1184203

1184062 1183922 1183783 1183642 1183 502

- Δ 2

142 142 Mi 142 142

141 141 141 141 141

141 141 141 142 141

141 141 141 141 142

141 M-141 141 141

141 141 141 141 141

141 141 141 141 141

141 Mi 141 141 141

140 140 14c 140 140

140 140 140 140 140

X

8.450 8.451 8.452 8.453 8.454

8.455 8.456 8.457 8.458 8.459

8.460 8.461 8.462 8.463 8.464

8.465 8.466 8.467 8.468 8.469

8.470 8.471 8.472 8.473 8.474

8.475 8.476 8.477 8.478 8.479

8.480 8.481 8.482 8.483 8.484

8.485 8.486 8.487 8.488 8.489

8.490 8.491 8.492 8.493 8.494

8.495 8.496 8.497 8.498 8.499

In x

2.1341664414 2.1342847776 2.1344030998 2.1345214079 2.1346397 021

2.1347579824 2.1348762486 2.1349945 008 2.1351127 391 2.1352309633

2.1353491736 2.1354673699 2.1355855523 2.1357037207 2.1358218 751

2.1359400 156 2,1360581 420 2.1361762547 2.1362943 533 2.1364124379

2.1365305087 2.1366485 654 2.1367666083 2.1368846 372 2.1370026 522

2.1371206 533 2.1372386404 2.1373566 136 2.1374745729 2.1375925183

2.1377104498 2.1378283 674 2.1379462 711 2.1380641 608 2.1381820 367

2.1382998987 2.1384177468 2.1385355 810 2.1386534013 2.1387712078

2.1388890003 2.1390067790 2.1391245438 2.1392422948 2.1393600319

2.1394777551 2.1395954645

1 2.1397131600 | 2.1398308 417

2.1399485095

Δχ

1183 362 II83 222 1183 o8i II82942 1182803

1182 662 1182 522 II82383 1182 242 1182 103

1181 963 1181824 1181684 1181 544 1181 405

I18I264 II81127 1180986 1180846 1180708

IT80 567 1180429 1180289 1180150 1180011

1179 871 1179732 1179593 II79454 1179315

1179176 1179037 1178897 1178759 1178620

1178 481 II78342 II78203 II78065 1177925

II77787 1177648 1177510 1177371 1177232

1177094 1176955 I1768I7 1176678 1176540

- Δ 2

Mo140140139 140

140140140140 140

140 140 140 140140

*39 139 139 139 139

*39 139 139 139 139

139 139 139 139 139

139 139 139 139 139

139 139 139 139 139

139 139 139 139 139

139 139 139

13

75

Page 84: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

8 . 5 0 0 8 . 5 0 1 8 . 5 0 2 8 . 5 0 3 8 . 5 0 4

8 . 5 0 5 8 . 5 o 6 8 . 5 0 7 8 . 5 0 8 8 . 5 0 9

8 . 5 1 0 8 . 5 1 1 8 . 5 1 2 8 . 5 1 3 8 . 5 1 4

8.5T5 8 . 5 1 6 8 . 5 1 7 8 . 5 1 8 8 . 5 1 9

8 . 5 2 0 8 . 5 2 1 8 . 5 2 2 8 . 5 2 3 8 . 5 2 4

8 . 5 2 5 8 . 5 2 6 8 . 5 2 7 8 . 5 2 8 8.52*)

8 . 5 3 0

8 . 5 3 2 8.533 8.534

8 . 5 3 6

8.538 8.539

8 . 5 4 0 8 . 5 4 1 8 . 5 4 2 8 . 5 4 3 8 . 5 4 4

8 .545 8 . 5 4 6 8 . 5 4 7 8 . 5 4 8 8 . 5 4 9

In x

2 . 1 4 0 0 6 6 1 6 3 5 2 . 1 4 0 1 8 3 8 0 3 6 2 . 1 4 0 3 0 1 4 2 9 9 2 . 1 4 0 4 1 9 0 4 2 4 2 . 1 4 0 5 3 6 6 4 1 0

2 . 1 4 0 6 5 4 2 2 5 8 2 . 1 4 0 7 7 1 7 9 6 8 2 . 1 4 0 8 8 9 3 540 2 . 1 4 1 0 0 6 8 9 7 3 2 . 1 4 1 1 2 4 4 2 6 9

2 . 1 4 1 2 4 1 9 4 2 6 2 . 1 4 1 3 5 9 4 4 4 5 2 . 1 4 1 4 7 6 9 3 2 6 2 . T 4 1 5 9 4 4 0 6 9 2 . 1 4 1 7 1 1 8 6 7 4

2 .1418293 141 2 . 1 4 1 9 4 6 7 4 7 0 2 .1420641 662 2 .1421815 715 2 . 1 4 2 2 9 8 9 631

2 . 1 4 2 4 1 6 3 4 0 8 2 . 1 4 2 5 3 3 7 0 4 8 2 . 1 4 2 6 5 1 0 5 5 1 2 . 1 4 2 7 6 8 3 915 2 . 1 4 2 8 8 5 7 142

2 . 1 4 3 0 0 3 0 2 3 2 2 . 1 4 3 1 2 0 3 183 2 . 1 4 3 2 3 7 5 9 9 8 2 . 1 4 3 3 5 4 8 6 7 4 2 .1434721 213

2 .1435893 615 2 . 1 4 3 7 0 6 5 8 7 9 2 . 1 4 3 8 2 3 8 0 0 6 2 . 1 4 3 9 4 0 9 9 9 6 2 . 1 4 4 0 5 8 1 8 4 8

2 .1441753 5 6 2 ; 2 .1442925 140 2 . 1 4 4 4 0 9 6 5 8 0 2 . 1 4 4 5 2 6 7 8 8 3 2 . 1 4 4 6 4 3 9 0 4 9

2 . 1 4 4 7 6 1 0 0 7 8 2 . 1 4 4 8 7 8 0 9 6 9 2 . 1 4 4 9 9 5 1 7 2 4 2 . 1 4 5 1 1 2 2 3 4 2 2 . 1 4 5 2 2 9 2 8 2 2

2 . 1 4 5 3 4 6 3 166 2 . 1 4 5 4 6 3 3 3 7 2 1 2 . 1 4 5 5 8 0 3 4 4 2 2 .1456973 375 2 .1458143 170

Δχ

1 1 7 6 4 0 1 1 1 7 6 2 6 3 1176 125 I I75 986 1 1 7 5 8 4 8

1175 710 1175 572 1175 433 1175 296 1*75 157

1 1 7 5 0 1 9 1174 881 1174 743 1174 605 1174 467

1 1 7 4 3 2 9 1174 192 1 1 7 4 0 5 3 1 1 7 3 9 1 6 1 1 7 3 7 7 7

1 1 7 3 6 4 0 1 1 7 3 5 0 3 1173 364 1 1 7 3 2 2 7 1173 0 9 0

1 1 7 2 9 5 1 1172815 1172 676 1 1 7 2 5 3 9 1172 402

1 1 7 2 2 6 4 I I 7 2 127 1171 990 I I 7 I 852 I I 7 I 7 1 4

1 1 7 1 5 7 8 1171 440 1 1 7 1 3 0 3 1171 166 1 1 7 1 0 2 9

1 1 7 0 8 9 1 1170755 1 1 7 0 6 1 8 1170 480 1 1 7 0 3 4 4

1 1 7 0 2 0 6 1170 0 7 0 1 1 6 9 9 3 3 1169795 I I 6 9 6 5 9

- Δ 2

138 1 3 2 138

1 x 3g 138

138 138 138 1 3 Ü 138

Ι 3 ϋ 138

I 3 ! 138

l 3 Ü 138 I 3 Ü 138

I3Z 138 138 1 3 Z 138

I 3 2 1 3o * 138 137 137

137 137 137 138 137

137 137 137 137 157

137 137 137 137 137

137 137 137 I3Z 136

X

8 . 5 5 0 8 . 5 5 1 8 . 5 5 2 8 . 5 5 3 8 . 5 5 4

8 .555 8 . 5 5 6 8 . 5 5 7 8 . 5 5 8 8 . 5 5 9

8 . 5 6 0 8 . 5 6 1 8 . 5 6 2 8 . 5 6 3 8 . 5 6 4

8 .565 8 . 5 6 6 8 . 5 6 7 8 . 5 6 8 8 . 5 6 9

8 . 5 7 0 8 . 5 7 1 8 . 5 7 2 8 . 5 7 3 8 . 5 7 4

8 . 5 7 6 1 8.577

8.578 8.579

8 . 5 8 0 8 . 5 8 1 8 . 5 8 2 8 . 5 8 3 8 . 5 8 4

8 . 5 8 5 8 . 5 8 6 8 . 5 8 7 8 . 5 8 8 8 . 5 8 9

8 . 5 9 0 8 . 5 9 1 8 . 5 9 2 8 . 5 9 3 8 . 5 9 4

8 . 5 9 5 8 . 5 9 6

2 · 5 9 2 8.598 8.599

In x

2 . 1 4 5 9 3 1 2 8 2 9 2 , 1 4 6 0 4 8 2 3 5 2 2 .1461651 737 2 . 1 4 6 2 8 2 0 986 2 . 1 4 6 3 9 9 0 0 9 8

2 . 1 4 6 5 1 5 9 0 7 3 2 . 1 4 6 6 3 2 7 9 1 2 2 . 1 4 6 7 4 9 6 014 2 .1468665 180 2 . 1 4 6 9 8 3 3 6 0 9

2 . 1 4 7 1 0 0 1 9 0 2 2 . 1 4 7 2 1 7 0 0 5 8 2 . 1 4 7 3 3 3 8 0 7 7 2 .1474505 960 2 . 1 4 7 5 6 7 3 7 0 7

2 .1476841 318 2 . 1 4 7 8 0 0 8 7 9 2 2 . 1 4 7 9 1 7 6 130 2 . 1 4 8 0 3 4 3 3 3 1 2 . 1 4 8 1 5 1 0 3 9 7

2 . 1 4 8 2 6 7 7 326 2 . 1 4 8 3 8 4 4 119 2 . 1 4 8 5 0 1 0 7 7 6 2 . 1 4 8 6 1 7 7 2 9 7 2 . 1 4 8 7 3 4 3 6 8 2

2 . 1 4 8 8 5 0 9 9 3 1 2 . 1 4 8 9 6 7 6 0 4 3 2 . 1 4 9 0 8 4 2 0 2 0 2 . 1 4 9 2 0 0 7 861 2 . 1 4 9 3 1 7 3 5 6 6

2.. 1494339 135 2 . 1 4 9 5 5 0 4 5 6 8 2 . 1 4 9 6 6 6 9 8 6 6 ? . 1497835 027 2 . 1 4 9 9 0 0 0 0 5 3

2 . 1 5 0 0 1 6 4 9 4 3 2 .1501329 698 2 . 1 5 0 2 4 9 4 3 1 7 2 . 1 5 0 3 6 5 8 8 0 0 2 .1504823 148

2 . 1 5 0 5 9 8 7 3 6 0 2 . 1 5 0 7 1 5 1 4 3 7 2 .1508315 378 2 . 1 5 0 9 4 7 9 1 8 3 2 . 1 5 1 0 6 4 2 8 5 4

2 . 1 5 1 1 8 0 6 3 8 8 2 . 1 5 1 2 9 6 9 788 2 . 1 5 1 4 1 3 3 0 5 2 2 . 1 5 1 5 2 9 6 181 2 . 1 5 1 6 4 5 9 1 7 4

Δχ

1169 523 1169385 1 1 6 9 2 4 9 1169 112 1168 975

I I 6 8 8 3 9 I I 6 8 7 0 2 I I 1 8 566 I I 6 8 4 2 9 I 1 6 8 2 9 3

H 6 8 1 5 6 I 1 6 8 0 1 9 I 1 6 7 8 8 3 I I 6 7 7 4 7 I I 6 7 6 1 I

I I 6 7 4 7 4 1167 338 I167 201 I 1 6 7 0 6 6 H 6 6 9 2 9

I I 6 6 793 1166 657 I166 52I I 1 6 6 3 8 5 I166 249

1166 112 165 977

1165 841 1165 705 1165 569

1165433 1165 298 1165 161 1165 026 1164 890

1164755 1164 619 1 1 6 4 4 8 3 1 1 6 4 3 4 8 1 1 6 4 2 1 2

1 1 6 4 0 7 7 1 1 6 3 9 4 1 1163805 1 1 6 J 6 7 1 1 1 6 3 5 3 4

1 1 6 3 4 0 0 1 1 6 3 2 6 4 1163 129 1 1 6 2 9 9 3 1 1 6 2 8 5 9

- Δ 2

137 137 137 137 137

137 137 137 137 137

137 13Z 1 3A 136 116

136136 136 136136

136 1 3 £ 136 136

136136 136136 136

136136136 136 136

136 136 136 136 136

136 136 135 135 135

135 135 135 135 135

76

Page 85: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

8.600 8.6οι 8.602 8.603 8.604

8.605 8.606 8.607 8.608 8.609

8 .6 io 8 . 6 n 8.612 8.613 8.614

8.615 8.616 8.617 8.618 8.619

8.620 8.621 8.622 8.623 8.624

8.625 8.626 8.627 8.628 8.629

8.630 8.631 8.632

I-i™ 8.634

8.635 8.636 8.637 8.638 8.639

8.640 8.641 8.642 8.643 8.644

8.645 8.646 8.647 8.648 8.649

In x

2.1517622033 2.1518784756 2.1519947 344 2.1521109 796 2.1522272 114

2.1523434297 2.1524596344 2.1525758257 2.1526920034 2.1528081 677

2.1529243184 2.1530404557 2.1531565795 2.1532726898 2.1533887866

2.1535048700 2.1536209 399 2.1537369963 2.1538530392 2.1539690687

2.1540850847

2.1543170763 2.1544330520 2.1545490 142

2.1546649629 2.1547808982 2.1548968 201 2.1550127 285 2.1551286235

2.1552445051 2.1553603 732 2.1554762280 2.1555920693 2.1557078 971

2.1558237 116 2.1559395 127 2.1560553003 2.1561710745 2.1562868354

2.1564025 828 2.1565183 169 2.1566340 375 2.1567497448 2.1568654386

2.1569811 191 2.1570967 862 2.1572124400 2.1573280803 2.1574437073

1162 723 1162588 1162452 1162318 1162183

1162 047 1161 913 1161 777 1161643 n ó i 507

1161373 1161238 n 6 i 103 1160968 1160834

1160699 1160 564 1160429 1160295 1160 160

1160025 1159891 1159757 1159622 1159487

1159353 1159 219 1159084 1158950 1158816

1158681 1158548 1158413 1158278 1158 145

T158011 1157876 1157742 1157 609 1157474

1157341 1157 206 1157073 1156938 1156805

1156671 1156538 1156403 1156 270 II56 136

- Δ 2

135 135 135 135 Π 5

135 135 135 135 135

135 135 135 135 135

135 135 135 135 135

135 134 134 135 134

134 134 134 134 134

134 134 135 134 134

134 134 134 134 134

134 134 134 134 134

134 134 134 134 134

X

8.650 8.651 8.652 8.653 8.654

8.655 8.656 8.657 8.658 8.659

8.66ο 8.661 8.662 8.663 8.664

8.665 8.666 8.667 8.668 8.669

8.670 8.671 8.672 8 . 6 7 3 8.674

8.675 8.676 8.677 8.678 8.679

8.68ο 8.68ι 8.682 8.683 8.684

8.685 8.686 8.687 8.688 8.689

8.690 8.691 8.692 8.693 8.694

8.695 8.696 8.697 8.698 8.699

In x

2.1575593209 2.1576749212 2.1577905 081 2.1579060 816 2.1580216418

2.1581371886 2.1582527 221 2.1583682422 2.1584837490 2.1585992425

2.1587147 226 2.1588301893 2.1589456428 2.1590610829 2.1591765097

2.1592919232 2.1594073233 2.1595227 102 2.1596380837 2.1597534439

2.1598687908 2.1599841 244 2.1600994447 2.1602147517 2.1603300454

2.1604453 258 2.1605605 930 2.1606758468 2.1607910874 2.1609063 147

2.1610215 287 2.1611367294 2.1S12519 169 2.16136709x1 2.1614822 520

2.1615973997 2.1617125 341 2.1618276 553 2.1619427632 2.1620578579

2.1621729 393 2.1622880075 2.1624030624 2.1625181041 2.1626331 326

2.1627481 478 2.1628631 498 2.1629781 386 2.1630931 142 2.1632080765

Δ,

1156003 115 5 869 1155735 1155602 1155468

1155335 1155 201 1155068 1154935 1154801

1154667 1154535 1154 401 1154268 1154135

1154 001 1153869 1153735 1153603 1153469

1153336 1153203 1153070 1152937 1152804

1152672 1152538 1152406 1152273 1152 140

1152007 1151875 1151742 11.51 609 1151477

1151344 1151 212 1151 079 1150947 1150814

1150 682 1150549 1150417 1150285 II50 152

1150 020 1149888 II49756 II49 623 1149492

- Δ 2

134 134 134 134 134

*34 134 133 133 134

133 133 133 133 133

133 133 133 133 133

133 133 133 133 133

133 133 133 133 133

133 133 133 133 133

133 133 133 133 133

133 133 132 132132

132132 132 132 132

77

Page 86: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

8.700 8.701 8.702 8.703 8.704

8.705 8.706 8.707 8.708 8.709

8.710 8.711 8.712 8.713 8.714

8.715 8.716 8.717 8.718 8.719

8.720 8.721 8,722 8.723 8.724

8.725 8.726 8.727 8.728 8.729

8.730 8.731 8.732 8.733 8.734

8.735 8.736 ϋ·73Ζ 8.738 8.739 8.740 8.741 8.742 8.743 8.744

8.745 8.746 8.747 8.748 8.749

In x

2.1633230257 2.1634379616 2.1635528843 2.1636677938 2.1637826901

2.1638975 732 2.1640124431 2.1641272998 2.1642421 434 2.1643569737

2.1644717909 2.1645865 948 2.1647013 856 2.1648161 632 2.1649309277

2.1650456790 2.1651604 171 2.1652751420 2.1653898538 2.1655045524

2.1656192 379 2,1657339 102 2.1658485694 2.1659632 155 2.1660778483

2.1661924681 2.1663070747 2.1664216682 2.1665362485 2.1666508 158

2.1667653 699 2.1668799 108 2.1669944 387 2.1671089534 2.1672234551

2.1673379436 3.1674524 190 2.1675668813 2.1676813 305 2.1677957666

2.1679101 897 2.1680245 996 2.1681389964 2.1682533 802 2.1683677509

2.1684821085 2.1685964530 2.1687107844 2.1688251028 2.1689394081

Δχ

1149 359 1149 227 1149095 1148963 1148831

1148699 1148 567 1148436 1148303 1148 172

1148039 1147 908 1147 776 1147645 1147513

1147381 1147249 1147118 1146986 1146 85 5

1146723 1146 592 1146461 1146328 1146 198

1146 066 1145 935 1145803 1145 673 1145 541

1145 409 1145 279 1145 147 1145017 1144885

1144 754 1144623 1144492 1144 361 1144231

1144099 1143 968 1143838 1143 707 1143 576

1143 445 1143 314 1143 184 1143053 1142923

<

- A 2

132 132 132 132 132

132 132 132 132 132

132 132 132 132 132

132 132 132 132 132

132 131 132 131 Ϊ3Ι

131 131 131 131 132

131 131 131 131 131

131 131 131 131 131

131 131 131 131 131

131 131 131 131 131

X

8.750 8.751 8.752 8.753 8.754

8.755 8.756

1 8.757 1 8,758

8.759

8.760 8.761 8.762

8.764

8.765 8.766 8.767 8.768 8.769

8.770 8.771 8.772 8.773 8.-774

8.775 8.776 8.777 8.778 8.779

8.780 8.781 8,782 il·7!!3 8.784

8.785 8.786

1 8.787 8.788 8.789

8,790 8.791 8.792 8.793 8.794

8.795 8.796 8.797 8.798 8.799

In x

2.1690537004 2.1691679 796 2.1692822457 2.1693964988 2.1695107388

2.1696249657 2.1697391797 2.1698533805 2.1699675 684 2.1700817432

2.1701959049 2.1703100 537 2.1704241894 2.1705383 121 2.1706524 217

2.1707665 184 2.1708806020 2.1709946726 2.1711087302 2,1712227748

2.1713368064 1 2.1714508250

2.1715648306 2.1716788 231 2.1717928 027

2.1719067694 2.1720207230 2.1721346636 2.1722485 913 2.1723625059

2.1724764076 2.1725902964 2.1727041 721 2.1728180 349 2.I7293I8848

2.1730457216 2.1731595456 2.1732733565 2.1753871545 2.1735009396

2.1736147 117 2.1737284709 2.1738422 171 2.1739559504 2.1740696708

2.1741833 782 2.1742970727 2.I744I07 543 2.1745244229 2.1746380786

Δχ

1142792 1142601 1142531 1142 400 1142269

1142 140 1142 008 1141879 1141748 II4I 617

1I4I488 II41357 1141227 1141 096 1140 967

1140 836 1140 706 1140576 1140 446 1140316

1140 186 1140056 1139925 1139 796 1139667

1139536 1139406 1139277 1139 146 1139017

1138888 1138757 1138628 1138499 1138368

1138240 1138 109 1137980 1137851 1137721

1137592 1137 462 1137333 II37204 1137074

1136945 I1368I6 1136686 1136557 II36429

- Δ 2

131 131 i 3 i 131 130

13° 13° 13° 131 13°

130 130 130 130 130

130 130 l3° 130 130

130 130 130 129 130

130 130 130 130 129

130 130 129 130 130

130 130 129 129 129

129 129 129 129 129

129 129 129 129 129

78

Page 87: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

8.8oo 8.8οι 8.8o2 8.803 8.804

8.805 8,806 8.807 8.808 8.809

8.810 8.811 8.812 8.813 8.814

8.815 8.816 8.817 8.818 8.819

8.820 8.821 8.822 8.823 8.824

8.825 8.826 8.827 8.828 8.829

8.830 8.831 8.832 8.S33 8.834

5-5" 8.836 8.837 8.838 8.839

8.840 8.84T 8.842 8.843 8.844

8.845 8.846 8.847 8.848 8.849

In x

2.1747517215 2.1748653 514 2.1749789684 2.1750925 725 2,1752061 637

2·ΐ753Ι974ΐ9 2.1754333 073 2.1755468598 2.1756603 994 2.1757739 26ι

2.1758874399 2.1760009409 2.1761144 289 2.1762279041 2.1763413664

2.1764548158 2.1765682 524 2.1766816 761 2.1767950 869 2.1769084849

2.1770218700 2.1771352423 2.1772486017 2.1773619482 2.1774752820

2.i775886028 2.1777019 108 2.1778152060 2.1779284884 2.I7804I7579

2.I78I550I46 2.1782682585 2.I7838I4895 2.1784947078 2.1786079132

2.17872II058 2.1788342856 2.1789474525 2.1790606 o 6 7 2.1791737481

2.1792868 ? 6 6

2.1793999924 2.1795130 054 2.1796261856 2.1797392630

2.1798523276 2.1799653794 2.1800784 185 2 .180I9I4 4 4 8 2 . l803044 $ 83

Δι

1136 299 1136170 1136 041 II35 912 1135 782

1135654 1135525 1135396 1135 267 II35I38

II350IO 1134880 1134752 II34623 1134494

1134366 1134237 1134 108 1133980 1133851

1133723 1133 594 1133465 1133338 1133208

1133080 1132952 1132824 1132695 1132 567

1132439 1132 310 1132 183 1132054 1131 926

1131 798 II31 669 1131542 1131414 II3I285

1I3I 158 1131030 1130902 1130774 1130646

II30518 1130391 1130263 1130135 1 1130007 I

- Δ 2

129 129 129 129 129

129 129 129 129 129

129 129 129 129 129

129 129 129 129 129

129 129 128 128 128

128 128 128 128 128

128 128 128 128 128

128 128 128 128 128

128 128 128 128 128

128 128 128 128 128

X

8.850 8,851 8.852

1 8.853 8 .8 5 4

8.855 8.856 8.857 8.858 8.859

8.860 8.861 8.862 8.863 8.864

8.865 8.866 8.867 8.868 8.869

8.870 8.871 8.872 8.873 8.874

8.875 8.876 8.877 8.878 8.879

8.880 8.881 8.882 8.883 8.884

8.8S5 8.886 8.887 8.888 8.889

8.890 8.891 8.892 8.893 8.894

8.895 8.896 8.897 8.898 8.899

In x

2.1804174 590 2.1805304470 2,1806434222 2.1807563 846 2.1808693 343

2.1809822 712 2.1810951 954 2.1812081 068 2.1813210055 2.1814338914

2.1815467646 2.1816596251 2.1817724728 2.1818853078 2.1819981 300

2.1821109395 2.1822237 363 2.1823365 204 2.1824492918 2.1825620 504

2.1826747963 2.1827875 295 2.1829002 500 2.1830129 579 2.1831256 530

2.1832383354 2.1833510051 2.1834636 621 2.1835763064 2.1836889381

2.1838015 570 2.1839141 633 2.1840267 569 2.1841393 378 2.1842519060

2.1843644 616 2.1844770045 2.1845895348 2.1847020 523 2.1848145 573

2.18.49270495 2,1850395 291 2.1851519961 2.1852644 504 2.1853768 921

2.1854893 211 2.1856017375 2.1857141 413 2.1858265 324 2.1859389 109

Δχ

1129 88o 1129 752 1 j 29 624 1129 497 1129 369

1129242 1129 114 1128987 1128859 1128 732

1128605 1128477 1128350 1128222 1128095

1127968 1127841 1127714 1127 586 1127459

, 1127332 1127 205 1127079 1126951 1126824

II26697 1126 570 1126 443 II263I7 1126 189

1126063 1125936 1125 809 1125 682 1125556

1125 429 1125303 1125175 1125 050 1124922

1124 796 1124670 1124543

•II24417 1124 290

1124 164 1124038 1123 911 II23785 II23 658

- Δ 2

128 128 128 128 128

128 128 128 127 127

127 127 127 127 127

127 127 127 127 127

127 127 127 127 127

127 127 127 127 127

127 127 127 127 127

127 127 127 127 120

126 126 126 126 126

126 126 126 126 126

79

Page 88: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

I 8.900 I 8.901 I 8.902

8.903 8.904

8.905 8.906 8.907 8.908 8.909

8.910 8.911 8.912 8.913 8.914

8.915 8.916 8.917 8.918 8.919

8.920 8.921 8.922 8.923 8.924

8.925 8.926 8.927 8.928 8.929

8.930 8.931 8.932 8.933 8.934

8.935 8.936 8.937 8.938 8.939

8.940 8.941 8.942 8.943 8.944

8.945 8.946 ï 9 A l 8.948 8.949

In x

2 . 1 8 6 0 5 1 2 767 2 . 1 8 6 1 6 3 6 300 2 . 1 8 6 2 7 5 9 706 2 . 1 8 6 3 8 8 2 9 8 6 2 . 1 8 6 5 0 0 6 140

2 . 1 8 6 6 1 2 9 167 2 . 1 8 6 7 2 5 2 0 6 9 2 . 1 8 6 8 3 7 4 8 4 4 2 . 1 8 6 9 4 9 7 4 9 4 2 . 1 8 7 0 6 2 0 0 1 7

2 . 1 8 7 1 7 4 2 4 1 5 2 . 1 8 7 2 8 6 4 6 8 6 2 .18 .73986832 2 . 1 8 7 5 1 0 8 851 ! 2 , 1 8 7 6 2 3 0 7 4 5

2 . 1 8 7 7 3 5 2 513 2 . 1 8 7 8 4 7 4 1 5 5 2 .1879595 672 2 . 1 8 8 0 7 1 7 0 6 2 2 . 1 8 8 1 8 3 8 3 2 7

2 . 1 8 8 2 9 5 9 4 6 6 2 . 1 8 8 4 0 8 0 4 7 9 2 . 1 8 8 5 2 0 1 367

2 . 1 8 8 7 4 4 2 7 6 6

2 . 1 8 8 8 5 6 3 2 7 7 2 . 1 8 8 9 6 8 3 6 6 2 2 . 1 8 9 0 8 0 3 922 2 . 1 8 9 1 9 2 4 0 5 6 2 . 1 8 9 3 0 4 4 0 6 5

2 . 1 8 9 4 1 6 3 9 4 9 2 . 1 8 9 5 2 8 3 707 2 . 1 8 9 0 4 0 3 340 2 . 1 8 9 7 5 2 2 8 4 7 2 . 1 8 9 8 6 4 2 2 2 9

2 . 1 8 9 9 7 6 1 4 8 6 2 . 1 9 0 0 8 8 0 618 2 . 1 9 0 1 9 9 9 6 2 4 2 . 1 9 0 3 1 1 8 505 2 . 1 9 0 4 2 3 7 2 6 1

2 . 1 9 0 5 3 5 5 8 9 2 2 . 1 9 0 6 4 7 4 398 2 . 1 9 0 7 5 9 2 7 7 8 2 , 1 9 0 8 7 1 1 0 3 4 2 . 1 9 0 9 8 2 9 164

2 . 1 9 1 0 9 4 7 1 7 0 2 . 1 9 1 2 0 6 5 0 5 0 2 . 1 9 1 3 1 8 2 806 2 . 1 9 1 4 3 0 0 4 3 6 2 . 1 9 1 5 4 1 7 9 4 2

Δχ

1123 533 1123 4o6 1123 280 1 1 2 3 1 5 4 1123 027

1 1 2 2 9 0 2 1 1 2 2 7 7 5 1122 650 1122 523 1122 398

1122 271 1122 146 1 1 2 2 0 1 9 1 1 2 1 8 9 4 1 1 2 1 7 6 8

1121 6 4 2 1 I 2 1 5 I 7 1121 39Ο I I 2 I 265 1121 139

I I 2 1 0 1 3 I I 2 0 8 8 8 1120 762 I I 2 0 6 3 7 I I 2 0 5 1 I

I I 2 0 3 8 5 1120 260 I I 2 O I 3 4 1120 OO9 I I I 9 8 8 4

H 1 9 7S8 I I I 9 6 3 3 I I I 9 5 0 7 1119 382 1 1 1 9 2 5 7

1119 132 I I I 9 0 0 6 I I I 8 8 8 1 I I 1 8 7 5 6 I I 1 8 6 3 I

1118 506 1118 380 H I 8 2 5 6 1118 130 n i 8 o t > 6

1 1 1 7 8 8 0 1 T 1 7 7 5 6

1 1 1 7 6 3 0 1117 506 1 1 1 7 3 8 1

- Δ 2

126 126 126 126 126

126 126 126 126 126

126 126 126 126 126

126 126 126 126 126

126 126 126 126 12Ò

126 126 125 125 125

125 125 125 125 125

125 125 125 12.5 125

125 125 125 125 125

125 125 125 125 125

X

8 , 9 5 0 8 . 9 5 1 8 - 9 5 2 8 . 9 5 3 8 . 9 5 4

8 . 9 5 5 8 . 9 5 6 8 . 9 5 7 8 . 9 5 8 8 , 9 5 9

8 . 9 6 0 8 . 9 6 1 8 . 9 6 2 8 . 9 ^ 3 8 . 9 6 4

8 . 9 6 5 8 . 9 6 6 8 . 9 6 7 8 . 9 6 8 8 . 9 6 9

8 . 9 7 0 8 , 9 7 1 8 . 9 7 2 8 . 9 7 3 8 . 9 7 4

8 . 9 7 5 8 . 9 7 6 8 . 9 7 7 8 . 9 7 8 , 8 . 9 7 9

8 . 9 8 0 8 .981 ! 8 . 9 8 2 8 . 9 8 3 8 . 9 8 4

8 . 9 8 $ 8 . 9 8 6 8 . 9 8 7 8 . 9 8 8 8 . 9 8 9

8 . 9 9 0 8 . 9 9 1 8 . 9 9 2 8 . 9 9 3 8 . 9 9 4

8 . 9 9 5 8 . 9 9 6 8 . 9 9 7 8 . 9 9 8 8 . 9 ; 9

In x

2.1916535323 2.1917652579 2.1918769 710 2,1919886717 2.1921003 598

2.1922120355 2.1923236987 2.1924353495 2.1925469878 2.1926586 136

2.1927702270 2.1928818279 2.1929934 164 2.1931049 924 2.1932165559

2.1933281 071 2.1934396457 2.1935511 720 2.1936626858 2.1937741871

2.1938856 761 2.1939971 526 2.1941086 167 2.1942200683 2.1943315076

2.1944429344 2.1945543488 2.1946657508 2.1947771404 2.1948885 175

2.1949998823 2.19511T2 347 2.1952225 747 2.1953339022 2.1954452 174

2.1955565202 2.1956678 106 2.1957790887 2.1958903543 2.1960016076

2.1961128485 2.1962240 770 2.1963352932 2.1964464 969 2.1965576883

2.196668867.4 2.1967800341 2.1968911 884 2.1970023 304 2.1971134601

Δ ι

1117256 1117131 1117007 I I I 6 8 8 I 1116757

1116632 i u 6 508 1116383 1116258 1116Ί34

1116009 1115885 1115 760 1115635 1115512

1115386 1115 263 1115138 1115013 1114890

1114765 1114 641 1114516 1U4 393 1114268

1114144 1114020 1113 896 1113 771 1113 648

1113524 1113400 1113275 1113152 1113 028

1112904 1112 781 III2656 III2533 III2409

III2285 II12 162 III2037 1111 914 m i 791

m i 667 m i 543 1111 420 m i 297 m i 172

1 ~ Δ ί

125 125 125 125 125

125 125 125 125 125

125 125 124 124 124

124 124 124 124 124

124 124 124 124 124

124 124 124 124 124

124 124 124 124 124

124 124 124 124 124

124 124 123 124 124

124 123 124 123 123

80

Page 89: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9-000 9 · 0 0 1

9.002 9-003 9-004

9·0°5 9·θθ6 9·0°7 9-008, 9-009

9 · 0 Ι ° 9 · 0 1 1

9 - 0 1 2 9-013 9 ·0ΐ4

9-015 9«οι6 9-017 9.018 9-019

9-020 9-021 9-022 9-023 9-024

9-025 9-026 9-027 9-028 9-029

9-030 9-031 9-03 2

9-033 9-034

9·°35 9.036 9-037 9.038 9-039

9-040 9-041 9-042 9-043 9-044

9-045 9-046 9-047 9-048 9-049

1η χ

2.1972245 773 2.1973356823 2.1974467749 2.1975578551 2.1976689230

2.1977799786 2.1978910219 2.1980020528 2.1981130714 2.1982240777

2.1983350716 2.1984460533 2.1985570226 2.1986679 796

2.1987789243

2.1988898567 2.1990007767 2.1991116 845 2.1992225 8οο 2.1993334632

2.1994443 341 2.1995551927 2.199666039° 2.1997768730 2,1998876948

2.1999985042 2.2001093014 2.2002200863 2.2003308 59° 2.2θθ44ΐ6 193

2.2005523 674 2.2006631033 2.20U7738268 2.2008845 382 2.2009952 372

2.2011059 240 2.2012165 986 2.2013272609 2.2014379 Ι Ι 0

2.2015485488

2.201659t 744 2.2017697878 2.2018803 889 2.2019909 778 2.2021015 544

2.2022121 188 2.2023226 711 2.2024332 n o 2.2025437 ?88 2.2026542 544

Δ!

i m 050 ι ι io 926 ΙΙΙθ8θ2 ιι io 679 i n o 556

1110433 m o 309 i n o 186 1110063 1109939

1109817 1109693 1109 5 7° 1109447 1109324

1109 200 1109078 1108955 1108832 1108 709

1108586 1108463 1108 340 1108218 1108 094

1107972 1107849 1107 727 1107 603 1107 481

II07359 1107235 1 1 0 7 1 1 4 1106 990 1106868

1106 746 1106623 1106 501 1106 378 1106256

1106 13 i 1106 011 1105 889 1105 766 1105644

II05 523 1105 399 1105 278 1105 156 1105 033

- Δ 2

124 123 123 123 123

123 123 123 123 123

123 123 123 123 123

123 123 123 123 123

123 123 123 123 123

123 123 123 1 2 2 123

123 123 123 1 2 2 1 2 2

1 2 2 1 2 2 1 2 2 1 2 2 1 2 2

1 2 2 1 2 2 1 2 2 1 2 2 1 2 2

1 2 2 1 2 2 1 2 2 1 2 2 1 2 2

X

9.050 9-051 9-052 9-053 9-054

9-055 9.056 9-057 9-058 9.059

9.o6o 9.061 9.062 9.063 9.064

9.065 9.066 9.067 9.068 9,069

9.070 ; 9-071

9.072 9.073 9.074

9.075 9.076 9.077 9.078 9.079

9.080 9.081 9.082 9.083 9.084

9.085 9.086 9·°ϋζ 9.088 9.089

9.090 9.091 9.092 9-093 9-094

9-095 9.096 9-097 9.098 9-099

In x

2.2027647577 2.2028752 488 2.2029857278 2.2030961 945 2.2032066 490

2.2033170913 2.2034275 215 2.2035379394 2.2036483451 2.2037587387

2.2038691 201 2.2039794 892 2.2040898 462 2 . 2 0 4 2 0 0 1 911 2.2043105 237

2.2044208442 2.2045311 525 2.2046414487 2.2047517326 2.2048620045

2.2049722641 2.2050825 116 2.2051927470 2.2053029 702 2.2054131 812

2.2055233802 2.2056335 669 2.2057437415 2.2058539040 2.2059640544

2.2060741926 2.2061843 187 2.2062944327 2.2064045 345 2.2065146242

2.2066247018 2.2067347673 2.2068448207 2.2069548 620 2.2070648911

2.2071749082 2.2072849 131 2.2073949060 2.2075018 867 2.2076148554

2.2077248 120 2.2078347564 2.2079446888 2.2080546091 2.2081645 174

Δχ

1104 9 i i 1104 790 1104667 1104545 1104423

1104 302 1104179 1104 05 7 1103936 1103814

1103 691 1103 570 1103449 1103 326 1103 205

1103083 1102 962 1102 839 L102 719 IIO2596

IIO2475 IIO2354 1102 232 1102 n o n o i 990

n o i 867 n o i 746 1101 625 1101504 n o i 382

n o i 261 n o i 140 n o i 018 1100 897 1100776

1100655 1100534 1 1 0 0 4 1 3 1100 291 1 1 0 0 1 7 1

1100 049 . 1099929

1099 807 1099 687 1099 566

1099 444 1099 324 1099 203 1099 083 1098 961

- Δ 2

1 2 2 1 2 2 1 2 2 ι : 2 1 2 2

1 2 2 J 2 2 1 2 2 1 2 2 1 2 2

1 2 1 1 2 2 1 2 2 1 2 2 1 2 2

1 2 2 1 2 2 1 2 2 1 2 2 1 2 1

1 2 1 1 2 2 1 2 1 1 2 1 1 2 1

1 2 1 1 2 1 1 2 1 1 2 1 1 2 1

1 2 1 1 2 1 121. 1 2 1 1 2 1

1 2 1 1 2 1 1 2 1 121 1 2 1

1 2 1 1 2 1 1 2 1 1 2 1 1 2 1

1 2 1 1 2 1 1 2 1 1 2 1 1 2 1

81

Page 90: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9-100 9-101 9-102 9-103 9-104

9-105 9·!°6 9-107 9.108 9.109

9 · 1 1 0

9.111 9-112 9-113 9-114

9-115 9 - ΐ ι 6 9.117 9 - ΐ ι 8 9-119

9-120 9-121 9-122 9.123 9-124

9-125 9.126 9-127 9-128 9-129

9-130 9-131 9-132 9-133

1 9-134 ;

9-135 9 · ΐ 3 6

9-137 9-138 9.139

9-140 9.141 9-142 9.143 9-144

9-145 9.146 9-147 9.148 9-149

1η χ

2.2082744 135 2.2083842 976 2.2084941 696 2.2086040295 2.2087138 774

2.2088237 132 2.2089335 369 2.2090433 486 2.2091531 482 2.2092629 358

2.2093727 113 2.2094824747 2.2095922261 2.209'019 655 2.2098116928

2.2099214 ο8ι 2.2100311 I I4 2.2101408 02Ò 2.2102504818 2.2103601 49°

2.2104698041 2.2105794 472 2.2106890783 2.2107986 974 2.2109083 044

2.2110178995 2.2111274825 2.211237° 535 2.2113466 126 2.2114561 596

2.2115656946 2.2116752 176 2.2117847287 2.2ΐ 18942 277 2.2120037 148

2.2121131 898 2.2122226 529 2 . 2123321 040 2.2124415 431 2.2125509 7°3

2.2126603855 2.2127697887 2.2128791 799 2.2129885 592

2.2130979265

2.2132072 8 ι8 2.2133166252 2.2134259 567 2.2Ι3535 2 762 2.2136445837

Δχ

1098841 1098 720 1098 599 1098 479 1098 358

1098 237 1098 I I7 1097 99^ 1097 876 1097 755

1097634 1097 5Μ 1097 394 1097 273 1097 153

1097033 1096912 1096 792

1096672 1096 551

1096431 1096 311 1096 191 1096 ο^ο 1095 951

1095 830 1095 7 1 0

1095 591 1095 470 1095 350

1095 230 1095 m 1094 99° 1094 871 1094 750

1094 631 1094 511 1094 391 1094 272 1094 152

1094 032 1093 912 1093 793 1093 673 1093 553

1093 434 1093 315 1093 195 1093 075 1092 956

- Δ 2

121 121 121 121 121

121 121 121 121 121

120 120 120 120 120

120 120 110 120 120

120 120 120 120 120

120 120 120 120 120

120 120 120 120 120

120 120 120 120 120

120 120 120 Ι 2 0 120

120 120 119 119 119

X

9-150 9.151 9-152 9-153 9-154

9-155 9-156 9-157 9-158 9-159

9 · ΐ 6 ο 9 · ΐ 6 ι 9 · ΐ 62 9-163 9.164

9.165 9 · ΐ 6 6 9,167 9 · ΐ 6 8 9.169

9-170 9-171 9-172 9-173 9-174

9-175 9-176 9-177 9-178 9-179

9 · ΐ 8 ο 9 . ι8 ι 9.182 9-183 9-184

9-185 9 · ΐ 8 6 9.187 9 . ι88 9.189

9-190 9.191 9-192 9-193 9.^94

9-195 9.196 9-197 9,198 9.199

1η χ

2.2137538793 2.2138631 629 2.2139724346 2.2140816 944 2.2141909422

2.2143001 781 2.2144094021 2.2145186 ΐ4 ΐ 2.2146278142 2.21473/0 024

2.2148461 787 2.2149553430 2.2150644955 2.2151736 3^° 2.2152827646

2.2153918813 2.2155009 86ι 2.2156100 790 2.2157191 ^0° 2.2158282 291

2.2159372 863 2.2160463 3χ6 2.2161553 650 2.2162643 865 2.2163733 9^2

2.2164823 939 2.2165913 798 2.2167003 538 2.2168093 ι^ο 2.2169182 662

2.2170272046 2.2171361 312 2.2172450458 2.2173539486 2.2174628 396

2.2175717187 2,2176805 859 2.2177894413 2.2178982848 2.2180071 165

2.2181159 364 2.2182247444 2.2183335405 2.2184423 249 2.2185510974

2.2186598581 2.2*87686069 2.2188773 439 2.2189860691 2.21C0947 825

ài

1092 836 1092 717 1092 598 1092 478 1092359

1092 240 1092 120 ΙΟ92 001 1091 882 1091 763

1091 643 Ι091525 1091 405 1091 286 1091167

1091048 1090 929 1090810 1090691 1090 5 72

1090453 1090 334 1090215 1090 097 1089 977

1089 859 1089 740 1089 622 1089 502 1089 384

1089 266 1089 146 1089 028 1088910 1088 791

1088672 1088 554 1088435 1088317 1088 199

1088 080 1087 961 1087 844 1087 725 1087É07

1087488 1087 37° 1087252 1087 134 1087016

- Δ 2

119 119 119 119 119

119 119 119 119 119

119 119 119 119 119

119 119 119 119 119

119 119 119 119 ι ι 9

119 119 119 ιι8 119

119 ιι8 119 119 119

119 119 ιι8 119 119

ι ι 8 ι ι 8 ι ι 8 ι ι 8 ι ι 8

ι ι 8 ι ι 8 ι ι 8 ι ι 8 ι ι 8

82

Page 91: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9*200 9.201 9.202 9·203 9-204

9-20$ 9.206 9-207 9·2θ8 9·2 09

9-210 9-2ΙΙ 9-212 9-213 9 · 2 Ι 4

9.215 9.216 9.217 9·2ΐ8 9.219

9*220 9*221 9*222

9-223 9-224

9-225 9-226 9-227 9.228 9-229

9·23° 9-231

9 · 2 3 2

9·233 9-234

9-235 9 · 2 36 9-237 9.238 9-239

9-240 9-241 9-242

9-243 9-244

9-245 9-246 9-247 9-248 9-249

1η χ

2.2192034841 2.2193121 73^ 2.2194208 517 2.2195295 179 2.2196381 722

2.2Ι97Ί68 147 2.2198554454 2.2199640643 2.2200726 714 2.2101812667

2.2202898 503 2.2203984220 2.2205069 820 2.2206155 3 0 χ

2.2207240 6ò 5

2.2208325 911 2.2209411 040 2.2210496050 2.2211580943 2.2212665 718

2,2213750376 2.2214834916 2.2215919 338 2.2217003 643 2,2218087830

2.2219171 899 2.2220255 851 2.2221339686 2.2222423 403 2.2223507003

2.2224590485 2.2225673 850 2.2226757098 2.2227840228 2.2228923 241

2.2230006 137 2.2231088915 2.2232171 576 2.2233254 120 2.2234336547

2.2235418857 2.2236501 049 2.2237583 124 2.2238665 083 2.2239746924

2.2240828 648 2.22419I3 256 2.2242991 746 2.2244073119 2.2245154376

1086 897 1086 779 1086 662 1086 543 1086 425

1086 307 1086 189 1086 071 1085953 1085 836

1085 717 1085 600 1085 481 1085 364 1085 246

1085 129 1085 010 1084 893 1084 775 1084 65:8

1084 540 1084 422 1084 305 1084 187 1084 069

1083 952 1083 835 1083 717 108} 600 1083 482

1083 365 1083 248 1083 130 1083 013 1082 896

1082 778 1 1082661 1 ιο82 544 1082427 1082310

ιο82 192 ιο82 075 ιο8ι 959 ιο8ι 8*4ΐ ιο8ι 724

ιο8ι 6ο8 ιο8ι 49° ιο8ι 373 ιο8ι 257 ιο8ι 139

- Δ 2

ι ι 8 ι ι 8 ι ι 8 ι ι 8 ιι8

ι ι 8 ι ι 8 Ι ΐ 8 ιι8 ιι8

ιι8 ιι8 ιι8 ιι8 ιι8

ιι8 ιι8 ιι8 ιι8 ιι8

ιι8 ιι8 ιι8 ιι8 117

117 117 117 117 117

117 117 117 117 117

117 117 117 ι ΐ 7 117

117 117 117 117 117

117 117 117 117 117

X

9-250 9-251 9-252 9-253 9-254

9-255 9-256 9-257 9-258 9-259

9-26ο 9 ·26ι 9,262 9.263 9-264

9.265 9.266 9.267 9,268 9.269

9-2^0 9-271 9.272 9-273 9.274

9-275 9.276 9-277 9.278 9-279

9.280 9.281 9.282 9.283 9-284

9-285 9.286 9.287 9.288 9.289

9.290 9.291 9.292 9-293 9-294

9-295 9.296 9-297 9.298 9-299

1η χ

2.2246235 515 2.2247316 538

2,2248397444 2.2249478 233 2.2250558905

2.2251639460 2.2252719 899 2.2253800221 2.2254880426 2.2255960515

2.2257040487 2.2258120342 2.2259200081 2,2260279 7°3 2.2261359 2 °8

2.2262438 597 2.2263517870 2.2264597 0 2 6 2.2265676066 2,2266754989

2,2267833 796 2.2268912 48t6 2.2269991 060 2.2271069 518 2.2272147860

2.22732 26ο85 2.2274304 194 2.2275382 187 2.2276460063 2.2277537824

2,2278615 468 2.2279692996 2.2280770 4θ8 2.2281847 /04 2.2282924884

2.2284001 948 2.2285078 896 2.2286155 728 2.2287232444 2.2288309044

2.2289385 528 2.2290461 897 2.2291538 149 2.2292614 286 2.2293690 307

2.2294766 212 2.2295842001 2.2296917675 2.2297993 233 2.2299068675

Δ ΐ

ιο8ι 023 ιο8ο $ο6 ιο8ο 789 1080672 1080555

1080439 ιο8ο 322 ιο8ο 205 ιο8ο 089 1079 97 2

1079855 1079 739 1079 622 1079 505 1079 389

1079 273 1079 ΐ 5 6

1079 °40 1078 923 1078 8θ7

1078 690 1078574 1078458 1078 34 2

1078 225

1078 109 1077 993 1077876 1077 76ι 1077 644

1077 528 1077 412 1077 296 1077 ι8ο 1077 064

1076948 1076 832 1076 7ΐ6 1076 eoo 1076 484

1076 369 1076252 1076 137 1076021 1075905

1075 789 1075 674 1075558 1075 442 ΐ075 327

- Δ 2

ιι1 \ 117

117 117 117

117 117 117 117 117

117 117 117 ιι6 ιι6

ιι6 ιι6 ιι6 ιι6 I l o

116 116 116 116 116

116 116 ι ι 6 ι ι 6 ι ι 6

ι ι 6 ι ι 6 ι ι 6 11.6 ι ι 6

ι ι 6 ι ι 6 τ ι 6 ι ι 6 ι ι 6

ι ι 6 ι ι 6 ι ι 6 ι ι 6 ι ι 6

ι ι 6 ι ι 6 ι ι 6 ι ι 6 ι ι 6

83

Page 92: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

9.300 9.301

9·302 9 303 9 304

9 30$ 9.306

9 307 9.308 9.309

9.510 9.311 9 3 1 2 9 3 1 3 9.314

9 3 1 5 9.316 9.317 9.318 9.319

9 3 2 0 9.321 9 3 2 2 9 3 2 3 9 324

9 3 2 5 9.326 9.327 9.328 9.329

9 3 3 0 9 3 3 1 9 3 3 2 9 3 3 3 9 3 3 4

9 3 3 5 9 3 3 6

9.337 9 3 3 8 9.339

9 3 4 0 9.341 9.342 9.343 9-344

9-345 9-346 9-347 9-348 9-349

In x

2.2300144002 2.2301219 213 2.2302294 308 2,2305569288 2.2504444 152

2.2505518901 2.2306593534 2.2307668052 2.2308742454 2,2309816741

2.2310890 913 2.2311964969 2.2313038910 2.2314112735 2.2315186446

2.2316260041 2.2317333 520 2..2318406 885 2.2319480 134 2,2320555 268

2.Λ521626287 2.2522699 191 2.2323771980 2.2324844.653 2,2325917212

2.2326989655 2.2328061984 2.2329134197 2.2330206296 2.2551278280

2.23523.50149 2.2333421903 2.2334493 542 2.255$$6$ 066 2.2336656475

2.2557707770 2,2338778950 2.2339850015 2.2340920965 2.2341991 801

2.2545062 522 2.2544133129 2.2345205621 2.2546275 998 2.2547344261

2.2348414409 2.2349484443 2.2350554 362 2.2351624 167 2.2352695 857

ài

IO75 211 IO75O95 IO74 98O IO74 864 1074 749

1074635 1074518 1074 402 1074 287 1074 172

1074056 1073 941 1073 825 1073 711 1073 595

1073 479 1073 365 1073 249 1073 134 1073019

1072 904 1072 789 1072 673 1072559 1072443

1072 329 1072 213 1072 099 1071 984 1071 869

1071 754 1071 659 1071 f24 T071409 1071 295

1071 180 1071 065 1070950 1070 856 1070 721

1070 607 1070 492 1070577 1070265 1070 148

1070 054 1069 919 1069 805 1069 690 1069 576

- Δ 2

i i 6 116

116 116 116

116 116 116 116 115

115 115 115 115 115

115 115 115 115 115

115 115 115 115 U5

" 5 115 115 115 115

115 115 115 115 115

115 115 115 115 115

115 115 115 115 115

115 115 114 114 114

1

X

9.350 9.351 9.352 9.353 9.354

9o55 9.356 9.357 9.358 9-359

9.360 9·36ι 9.362 9.365 9.364

9.365 9.366· 9-367 9.368 9.369

9.370 9.371 9.372 9.373 9-374

' 9.375 9.376 9.377 9.378 9.379

9.380 9.381 9.382 9-385 9-384

9 3 8 5 9 3 8 6 9 < 3 o Z 9.588 9.389

9.390 9.391 9.392 9-393 9.394

9.395 9.396 9-397 9.398 9.399

In x

2.2555765453 2.2554832895 2,2555902242 2.2556971475 2.2558040595

2.2559109597 2.2560178487 2.2561247265 2.2362315924 2.2363584472

2.2564452905 2.2565521224 2.2566589429 2.2367657 520 2.2368725496

2.2369793559 2.2370861 108 2.2371928742 2.2572996 265 2.2574065670

2.2575150965 2.2576198 141 2.2377265 206 2.2378552 158 2-2379398 995

2.2380465 719 2.2381532 328 2.2582598824 2.2585665207 2.2584731475

2.2385797650 2.2586865671 2.2587929599

,2.2588995 415 2.2590061 114

2.2591126700 2.2592192 174 22595257554 2.2594322 780 2.2595587915

2.2596452952 2.2597517858 2.2598582651 2.2399647310 2.2400711 876

2.2401776 529 2.2402840668 2.2405904894 2.2404969007 .2.2406055 co6

Δ!

1069 462 1069 547 1069253 1069 118 1069 004

1068 890 1068 776 1068 661 1068 548 1068435

1068519 1068 205 1068091 1067976 1067 865

1067 749 1067654 1067 521 1067 407 1067295

1067 178 1067065 1066 952 1066 857 1066 724

1066 609 1066 496 1066 585 1066 268 1066 155

1066041 1065 928 1065 814 1065 701 1065 586

1065 474 1065 560 1065 246 1065 155 1065 019

1064 906 1064 795 1064 679 1064 566 1064453

1064 359 1064 226 io54 113 1065 999 1065 887

- Δ 2

I H I H 114 IM 114

114 114 114 114 114

114 114

1 II4 114 114

114 114 114 114 114

114 114 114 114 114

114 114 114 114 114

114 114 114 113 113

113 113 113 113 113

113 113 113 113 113

113 113 113 113 113

84

Page 93: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9 - 4 0 0 9 -401 9 - 4 0 2 9 - 4 0 3 9 - 4 0 4

9-4Q5 9-4°6 9 . 4 0 7 9 . 4 0 8 9 - 4 0 9

9 . 4 1 0 9 - 4 H 9 . 4 1 2 9 . 4 1 3 9 - 4 1 4

9 . 4 1 5 9 . 4 1 6 9 . 4 1 7 9 . 4 1 8 9 . 4 1 9

9 . 4 2 0 9 . 4 2 1 9 . 4 2 2 9 . 4 2 3 9 . 4 2 4

9 . 4 2 5 9 . 4 2 6 9 . 4 2 7 9 . 4 2 8 9 . 4 2 9

9 . 4 3 0 9 . 4 3 1 9 . 4 3 2 9-433 9,434

9-435 9.436 9.437 9.438 9.439

9 . 4 4 0 9 . 4 4 1 9 . 4 4 2 9 -443 9 . 4 4 4

9-445 9 . 4 4 6 9 - 4 4 7 9 . 4 4 8 9 - 4 4 9

In x

2 . 2 4 0 7 0 9 6 8 9 3 2 . 2 4 0 8 1 6 0 6 6 6 2 . 2 4 0 9 2 2 4 326 2 . 2 4 1 0 2 8 7 8 7 3 2 . 2 4 1 1 3 5 1 307

2 . 2 4 1 2 4 1 4 6 2 8 2 . 2 4 1 3 4 7 7 8 3 5 2 . 2 4 1 4 5 4 0 9 3 0 2 . 2 4 1 5 6 0 3 9 1 2 2 . 2 4 1 6 6 6 6 780

2 . 2 4 1 7 7 2 9 5 3 6 2 . 2 4 1 8 7 9 2 179 2 . 2 4 1 9 8 5 4 709 2 . 2 4 2 0 9 1 7 126 2 . 2 4 2 1 9 7 9 4 3 0

2 , 2 4 2 3 0 4 1 621 2 . 2 4 2 4 1 0 3 700 2 .2425165 665 2 . 2 4 2 6 2 2 7 5 1 8 2 . 2 4 2 7 2 8 9 2 5 8

2 . 2 4 2 8 3 5 0 8 8 6 2 . 2 4 2 9 4 1 2 4 0 1 2 . 2 4 3 0 4 7 3 8 0 3 2 . 2 4 3 1 5 3 5 0 9 2 2 . 2 4 3 2 5 9 6 2 6 9

2 . 2 4 3 3 6 5 7 333 2 . 2 4 3 4 7 1 8 2 8 5 2 . 2 4 3 5 7 7 9 ! 2 4 2 . 2 4 3 6 8 3 9 8 5 I 2 . 2 4 3 7 9 0 Θ 4 6 5

2 . 2 4 3 8 9 6 0 9 6 6 2.244OO21 356 2 .244IO81 632 2 . 2 4 4 2 1 4 1 7 9 7 2 . 2 4 4 3 2 Ο 1 8 4 9

2 . 2 4 4 4 2 6 1 788 2 . 2 4 4 5 3 2 I 615 2 . 2 4 4 6 3 8 1 33Ο 2 . 2 4 4 7 4 4 0 9 3 3 2 .24485OO423

2 . 2 4 4 9 5 5 9 8 0 2 2 . 2 4 5 0 6 1 9 0 6 8 2 . 2 4 5 1 6 7 8 2 2 1 2 . 2 4 5 2 7 3 7 2 6 3 2 . 2 4 5 3 7 9 6 192

2 .2454855OIO 2 . 2 4 5 5 9 1 3 7 1 5 2 . 2 4 5 6 9 7 2 308 2 . 2 4 5 8 0 3 O 7 8 9 2 . 2 4 5 9 0 8 9 158

Δ ΐ

1063 773 1063 66o 1063547 1063434 1063 321

1063 207 1063 095 1062 982 1062 868 1062 756

1062 643 1062 530 1 0 6 2 4 1 7 10Ö2 3Ο4 1062 191

1062 079 1061 965 1061 853 1061 740 1061 628

1061 515 1061 402 1061 289 1061 177 1061 0 6 4

1 0 6 0 9 5 2 1060 839 1060 ^27 1 0 6 0 6 1 4 1060 501

1060 390 1060 276 1060 165 10600s 2 J 0 5 9 9 3 9

1059 827 1 0 5 9 7 1 5 1 0 5 9 6 0 3 1 0 5 9 4 9 0 1059 379

1 0 5 9 2 6 6 1 0 5 9 1 5 3 1059 0 4 2 1 0 5 8 9 2 9 1058 818

1 0 5 8 7 0 5 1058 593 1 0 5 8 4 8 1 1 0 5 8 3 6 9 1 0 5 8 2 5 7

- Δ 2

113 113 113 113 113

113 113 113 113 113

113 1 1 3 113 113 113

113 113 113 113 113

113 113 113 113 113

113 113 113 1 1 2 1 1 2

1 1 2 1 1 2 1 1 2 1 1 2 1 1 2

) 1 2 1 1 2 1 1 2 1 1 2 1 1 2

1 1 2 1 1 2 1 1 2 1 1 2 1 1 2

1 1 2 1 1 2 1 1 2 1 1 2 1 1 2

X

9 - 4 5 0 9 . 4 5 1 9 . 4 5 2 9.453 9.454

9.455 9.456 9.457 9-458 9.459

9 . 4 6 0 9 - 4 6 1 9 - 462 9 . 4 6 3 9 . 4 6 4

9 . 4 6 6 9 . 4 6 7 9 . 4 6 8 9 . 4 6 9

9 . 4 7 0 9 . 4 7 1 9 . 4 7 2 9 . 4 7 3 9 . 4 7 4

9 . 4 7 5 9 . 4 7 6 9 . 4 7 7 9 . 4 7 8 9 - 4 7 9

9 . 4 8 0 9 . 4 8 1 9 . 4 8 2 9 . 4 8 3 9 . 4 8 4

9 . 4 8 5 9 . 4 8 6 9 . 4 8 7 0 . 4 8 8 9 . 4 8 9

9 . 4 9 0 9 . 4 9 1 9 . 4 9 2 9 . 4 9 3 9 - 4 9 4

9 -495 9 . Ì 9 6 9 . 4 9 7 9 . 4 9 8 9 . 4 9 9

In x

2 . 2 4 6 0 1 4 7 4 1 5 2 . 2 4 6 1 2 0 5 560 2 . 2 4 6 2 2 6 3 593 2 . 2 4 6 3 3 2 1 514 2 . 2 4 6 4 3 7 9 3 2 4

2 . 2 4 6 5 4 3 7 0 2 1 2 . 2 4 6 6 4 9 4 6 0 7 2 . 2 4 6 7 5 5 2 0 8 0 2 . 2 4 6 8 6 0 9 4 4 2 2 . 2 4 6 9 6 6 6 6 9 2

2 . 2 4 7 0 7 2 3 831 2 . 2 4 7 1 7 8 0 8 5 7 2 . 2 4 7 2 8 3 7 7 7 2 2 . 2 4 7 3 8 9 4 5 7 5 2 . 2 4 7 4 9 5 1 2 6 7

2 . 2 4 7 6 0 0 7 8 4 7 2 . 2 4 7 7 0 6 4 3 1 5 2 . 2 4 7 8 1 2 0 6 7 1 2 . 2 4 7 9 1 7 6 9 1 7 2 . 2 4 8 0 2 3 3 0 5 0

2 . 2 4 8 1 2 8 9 0 7 2 2 . 2 4 8 2 3 4 4 9 8 2 2 . 2 4 8 3 4 0 0 7 8 1 2 . 2 4 8 4 4 5 6 4 6 9 2 . 2 4 8 5 5 1 2 0 4 5

2 . 2 4 8 6 5 6 7 5 1 0 2 . 2 4 8 7 6 2 2 8 6 3 2 . 2 4 8 8 6 7 8 1 0 5 2 . 2 4 8 9 7 3 3 2 3 5 2 , 2 4 9 0 7 8 8 2 5 5

2 . 2 4 9 1 8 4 3 363 2 . 2 4 9 2 8 9 7 9 5 9 2 . 2 4 9 3 9 5 2 6 4 5 2 . 2 4 9 5 0 0 7 2 1 9 2 . 2 4 9 6 0 6 1 682

2 . 2 4 9 7 1 1 6 034 2 . 2 4 9 8 1 7 0 2 7 5 2 . 2 4 9 9 2 2 4 4 0 4 2 . 2 5 0 0 2 7 8 4 2 3 2 . 2 5 0 1 3 3 2 330

2 . 2 5 0 2 3 8 6 126 2 . 2 5 0 3 4 3 9 811 2 . 2 5 0 4 4 9 3 386 2 . 2 5 0 5 5 4 6 8 4 9 2 . 2 5 0 6 6 0 0 2 0 1

2 . 2 5 0 7 6 5 3 4 4 3 2 . 2 5 0 8 7 0 6 573 2 . 2 5 0 9 7 5 9 5 9 3 2 . 2 5 1 0 8 1 2 501 2 . 2 5 1 1 8 6 5 2 9 9

Δι

1 0 5 8 1 4 5 1 0 5 8 0 3 3 1057 921 1 0 5 7 8 1 0

1 1057697

1 0 5 7 5 8 6 1057 473 1 0 5 7 3 6 2 1 0 5 7 2 5 0 1057 139

1 0 5 7 0 2 6 1 0 5 6 9 1 5 1056 803 1 0 5 6 6 9 2 1056 580

1 0 5 6 4 6 8 1 0 5 6 3 5 6 1056 246 1 0 5 6 1 3 3 1056 0 2 2

1 0 5 5 9 1 0 1 0 5 5 7 9 9 1055 688 1055 576 1055 465

1 0 5 5 3 5 3 1 0 5 5 2 4 2 1055 130 1055 0 2 0 1 0 5 4 9 0 8

1054 796 1054 686 1 0 5 4 5 7 4 1054 463 1 0 5 4 3 5 2

1 0 5 4 2 4 1 1054 129 1054 019 1 0 5 3 9 0 7 1053 796

1 0 5 3 6 8 5 1 0 5 3 5 7 5 1 0 5 3 4 6 3 1 0 5 3 3 5 2 1 0 5 3 2 4 2

1 0 5 3 1 3 0 105 3 0 2 0 1 0 5 2 9 0 8 1052 798 1052 687

- Δ *

1 1 2 1 1 2 1 1 2 1 1 2 1 1 2

1 1 2 1 1 2 1 1 2 1 1 2 1 1 2

1 1 2 1 1 2 1 7 2 1 1 2 1 1 2

85

Page 94: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9-500 9·$οι 9·$02 9-503 9-504

9-505 9-506 9-507 9-508 9-509

9-5^0 9-511 9-512 9-513 9-5Μ

9-515 9-51 6

9.517 9^518 9-519

9.520 9-521 9-522 9-523 9-524

9-525 9-526 9-527 9-528 9-529

9-530 9.531 9-532 9-533 9-534

9-535 9 ·53 6

9-537 9.538 9-539

9-540 9-541 9-542 9-543 9-544

9-545 9-546 9-547 9-548 9-549

In x

2.2512917986 2.2513970 5^2 2,2515023 028 2.2516075 382 2.2517127626

2.2518179759 2.2519231 782 2.2520283 694 2.2521335495 2.2522387 186

2.2523438 766 2.2524490235 2.2525541594 2.2526592842 2.2527643 980

2.2528695 007 2.2529745924 2.2530796 731 2.2531847427 2.2532898013

2.2533948488 2.2534998853 2.2536049 108 2.2537099252 2.2538149286

2.2539199210 2.2540249024 2.2541298 727 2.2542348321 2.2543397804

2.2544447177 2.2545496440 2.254^545 592 2.2547594635 2.2548643 5 6 8

2.2549692 391 2.2550741103 2.2551789 7°6 2.2552838 199 2.2553886 582

2.2554934 855 2.2555983018 2.2557031071 2.2558079014 2.25591 26 848

2.2560174 572

2.2561222 ι86 2.2562269690 2.2563317085 2.2564364370

Δι

1052 576 1052466 1052354 1052244 1052 133

1052023 1051 912 1051 8οι 1051 691 1051 580

1051 469 1051 359 1051 248 1051 138 1051 0 2 7

1050917 1050807 1050696 1050586 1050475

1050365 1050255 1050 144 1050034 1049 924

1049814 1049 703 1049 594 1049 483 1049 373

1049 263 1049 ΐ 5 2

1049 043 1048933 1048 823

1048 712 1048 6θ3 1048 493 1048 383 1048 273

1048 163 1048053 1047 943 1047 834 1047 724

1047614 1047 504 1047 395 1047 285 1047175

- Α 2

1 1 1 I I I 1 1 1 1 1 1 I I I

I I I I I I I I I I I I I I I

I I I I I I I I I I I I I I I

1 1 1 I I I I I I I I I I I I

I I I I I I I I I 1 1 1 I I I

1 1 0 1 1 0

n o n o n o

1 1 0

n o n o n o n o

n o n o n o n o 1 1 0

n o n o n o n o n o

n o n o n o n o 1 1 0

X

9.550 9.551 9.552 9-553 9-554

9-555 9.556 9.557 9.558 9-559

9.560 9.561 9.562 9.563 9.564

9.565 9.566 9.567 9.568 9.569

9.570 9.571 9.572 9.573 9.574

9-575 9.576 9.577 9.578 9-579

9.580 9.581 9.582 9.583 9.584

9 · 5 ϋ? 9.586 9.587 9.588 9.589

9.590 9.591 9.592 9.593 9.594

9.595 9-596 9.597 9.598 9.599

In x

2.2565411545 2.2566458611 2.2567505 567 2.2568552 413 2.2569599 150

2.2570645775 2,2571692295 2.2572738703 2.2573785 002 2.2574831 191

2.2575877271 2.2576923 241 2.2577969 102 2.2579014854 2.2580060496

2.2581106029 2.2582151 453 2.2583196 767 2.2584241 972 2.2585287068

2.2586332055 2.2587376932 2.2588421 700 2.2589466360 2.2590510910

2.2591555351 2.2592599683 2.2593643905 2.2594688019 2.2595732024

2.2596775 920 2.2597819707 2.2598863 385 2.2599906954 2.2600950414

2.2601993 765 2.2603037007 2.2604080 141 2.2605123 166 2.2606166082

2.2607208 889 2.2608251587 2.2609294 177 2.2610336658 2.2611379 031

2.2612421 295 2.2613463 450 2.2614505 496 2.2615547434 2.2616589264

Δχ

1047 o66 1046956 1046 846 1046 737 1046 627

1046 518 1046 408 1046 299 1046 189 1046 080

1045 970 1045 861 1045 752 1045 642 1045 533

1045 424 1045 314 1045 205 1045 096 1044987

1044 877 1044 768 1044 660 1044550 1044441

1044 332 1044 222 1044114 1044 005 1043 896

to43 787 1043 678 1043 569 1043 460 1043351

1043 242 1043 134 1043 025 1042 916 1042 807

1042 698 1042 590 1042 481 1042 373 1012264

1042 155 1042 046 1041 938 1041 830 1041 721

- Δ 2

n o 1 1 0

n o 1 1 0 1 1 0

1 1 0

n o 1 1 0

n o n o

1 1 0

n o 109 109 109

109 109 109 109 109

109 109109109 109

109 109 109 109109

109109109109109

109109 109109109

109109109109109

108 108 108 108 108

86

Page 95: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

χ

9.600 9.601 9.602 9.603 9.604

9ί°ί 9.6o6 9.607 9.608 9.609 9.610 9.611 9,612 9.613 9.614

9.615 9,616 9.617 9.618 9.619

9.620 9.621 9.622 9.623 9.624

9.625 9.626 9.627 9.628 9.629

9.630 9.631 9.632 9.633 9.634

9.635 9.636 9.637 9.638 9.639

9.640 9-641 9.642 9.643 9.644

9.645 9.646 9.647 9.648 9.649

In x

2.2617630985 2.2618672 597 2.2619714 lo i 2.2620755497 2.2621796 784

2.2622837962 2.2623879032 2.2624919994 2.2625960848 2.2627001 593

2.2628042230 2.2629082 758 2.2630123 179 2.2631163491 2.2632203695

2.2633243 790 2.2634283 778 2.2635323657 2.2636363429 2.2637403092

2.2638442647 2.2639482094 2.2640521433 2.2641560664 2.2642599787

2.2643638802 2.2644677709 2.2645716 508 2.2646755 199 2.2647793783

2.2648832258 2,2649870626 2.2650908886 2,2651947038 2.2652985082

2.2654023 019 2.2655060848 2,2656098 569 2.2657136 182 2.2658173688

2.2659211 086 2.2660248 377 2.2661285 560 2.2662322635 2.2663359603

2.2664396464 2.2665433 216 2.2666469862 2.2667506400 2.2668542 830

Δχ

I04I 6 i2 1041 504 1041 396 1041 287 1041 178

1041 070 1040 962 1040 854 1040 745 1040637

1040 528 1040421 1040312 1040 204 1040 095

1039 988 1039 879 1039 772 1039663 1039555

1039 447 1039 339 1039231 1039 123 1039015

1038 907 1038 799 1038 691 1038 584 1038475

1038 368 1038 260 1038 152 1038 044 1037937

1037829 1037 721 1037613 1037 506 1037398

1037291 1037 183 1037075 1036 968 1036 861

1036 752 1036 646 1036538 1036430 1036 324

- Δ 2

io8 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 108

108 108 108 108 107

107 107 107 107 107

X

9,650 9.651 9.652 9.653 9.654

9.655 9.656 9.657 9.658 9.659

9.660 9.661 9,662 9*6A* 9.664

9.665 9.666 9.667 9.668 9.669

9.670 9.671 9.672 9.673 9.674

9.675 9.676 9.677 9.678 9.679

9.680 9.681 9,682 9.683 9.684

9.685 9.686 9,687 9.688 9.689

9.690 9.691 9.692 9.693 9.694

9.695 9,696 9.697 9.698 9.699

In x

2.2669579 154 2.2670615 369 2.2671651 478 2.2672687479 2.2673723 372

2.2674759159 2.2675794838 2,2676830410 2.2677865 875 2.2678901 232

2,2*679936482 2.2680971625 2,2682006661 2.2683041590 2,2684076412

2 , 2 6 8 5 m 127 2,2686145 734 2.2687180235 2.2688214628 2.2689248915

2.2690283095 2.2691317 167 2.2692351133 2.2693384992 2,2694418744

2.2695452 389 2.2696485 927 2.2697519359 2.269S552684 2,2699585 902

2.2700619 013 2.2701652017 2.2702684915 2,2703717 706 2,2704750391

2.2705782969 2.2706815 440 2.2707847804 2.2708880063 2,2709912214

2.2710944259 2,2711976 198 2.2713008030 2.2714039755 2.2715071 374

2,2716102887 2.2717134293 2.2718165 593 2.2719196787 2.2720227874

Δχ

1036215 1036 109 1036001 1035 893 1035 787

1035 679 1035 572 1035465 1035 357 1035 250

1035 143 1035 036 I034 929 1034822 1034 715

1034 6θ7 1034 501 1034 393 1034287 1034 180

1034 072 1033 966 1033 859 1033 752 1033 645

1033 538 1033 432 1033 325 1033 218 1033 l l 1

1033 004 1032 898 1032 791 1032 685 1032578

1032 471 1032 364 1032259 1032 151 1032 045

1031939 1031 832 1031 725 1031619 1031513

1031 406 1031 300 1031 194 1031 087 1030981

- Δ 2

107 T07 107 107 107

107 107 107 107 107

107 107 107 107 107

107 107 107 107 107

107 107 107 107 106

107 107 107 107 107

107 107 107 107 107

106 106 106 106 106

ioò 106 106 106 106

106 106 106 106106

87

Page 96: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

9,700 9.701 9.702 9.703 9.704

9.705 9.906 9.707 9,708 9.709

9.710 9.711 9.712 9-713 9.714

9.715 9 . 7 1 0 I 9.717 9.718 9.719

9.720 9.721 9.722 9.723 9.724

9.725 9.726 9.727 9.728 9.729

9-710 9.731 9-732 9-733 9-734

9-735 9·736

9-737 9-738 9-739

9-740 9-741 9-742 9.743 9-744

9-745 9-746 9-747 9-748 9·749

In x

2.2721258855 2,2722289 730 2.2723320498 2.2724351 160 2.2725381 716

2.2726412 166 2.2727442 510 2,2728472747 2.2729502 879 2.2730532904

2.2731562823 2.2732592636 2.2733622 343 2.2734651944 2.2735681439

2.2736710828 2.2737740 m 2.2738769289 2.2739798360 2.2740827325

2,2741856 185

2.2743913 586 2.2744942 128 2.2745970565

2.2746998895 2.2748027 120 2.2749Ο55239 2.275ΟΟ83252 2.275IIII ΐ ίθ

2.2752138962 2.2753166658 2.2754194249 2,2755221734 2,2756249 II4

2.2757276 388 2.27583Ο3557 2.275933062O 2.2760357578 2.276138443Ο

2.27624II I77 2.2763437818 2.2764464 354 2.27654ÇO784 2.2766517 110

2.2767543330 2.2768569444 2.2769595454 2.2770621 358 2.2771647 156

Δχ

1030875 1030 768 1030 662 1030556 1030450

1030 344 1030237 1030 132 1030025 1029 919

1029813 1029 ^07 1029 6οι 1029 495 1029 389

1029 283 1029 178 1029 071 1028965 1028 Si-0

1028753 1028 648 1028 542 1028 437 1028 330

1028 225 1028 119 1028013 1027 ço8 IO27 g02

1027 696 1027 591 1027485 1027 380 1027 274

1027 169 1027 063 1026958 1026 852 1026 747

1026 641 1026 536 1026430 1026 326 1026 220

1026 114 1026 010 1025 904 1025 798 1025 694

- Δ 2

i o 6 106 106 106 106

106 106 106 10Ò 106

106 106 106 106 106

100 106 106 106 106

106 106 106 106 106

106 106 106 106 106

106 106 106 106 106

106 106 106 106 106

106 105 105 105 105

106 106 105

[ 105 105

X

9.750 9.751 9.752 9.753 9-754

9.755 9.756 9.757 9.758 9.759

9.760 9.761 9.762 9.763 9.764

9.765 9.766 9.767 9.768 9.769

9.770 9.771 9.772 9.773 9.774

9.775 9.77S 9.777 9.778 9-779

9.780 9.781 9.782 9.783 9.784

9.785 9.786 9.787 9.788 9.789

9.790 9.791 9.792 9-793 9.794

9.795 9.796 9-797 9-798

9-799

In x

2.2772672 850 2.2773698439 2.2774723 922 2.2775749300 2.2776774573

2.2777799741 2.2778824804 2.2779849 7S1 2.2780874614 2.2781899 362

2.2782924004 2.2783948 542 2.2784972975 2.2785997 302 2.2787021 525

2.2788045643 2.2789069656 2.2790093 565 2.2791117 368 2.2792141 067

2.2793164661 2.2794188 150 2.2795211534 2.2796234814 2.2797257988

2.2798281 059 2.2799304024 2.2800326885 2.2801349642 2.2802372293

2.2803394840 2.2804417283 2.2805439621 2.2806461855 2.2807483984

2.2808506008 2.2809527929 2.2810549744 2.2811571 456 2.2812593063

2.2813614565 2.2814635964 2.2815657258 2.2816678447 2.2817699533

2.2818720514 2.2819 741 391 2.2820762164 2.2821782832 2.2822803397

Δχ

1025 589 1025 483 1025 378 1025 273 1025 i68

1025 063 1024957 1024853 1024 748 1024 642

1024 538 1024433 1024 327 1024223 1024 118

1024013 1023 909 1023 803 1023 699 1023 594

1023 489 1023 384 1023 280 1023 174 1023 071

1022 965 1022 861 1022 757 1022651 1022 547

1022 443 1022 338 1022234 1022 129 1022 024

1021 921 1021 815 1021 712 1021 607 1021 502

1021 399 1021 294 1021 189 1021 086 IO2O981

1020 877 1020 773 1020 668 1020565 1020 460

- Δ ι

105 105 105 105 105

105 105 105 105 105

105 105 105 105 105

105 105 105 105 105

105 105 104 1 104 1 104 1

104 1 104 1 104 104 1 104 1

104 1 104 1 104 1 104 1 104 1

104 1 104 1 104 104 104

104 104 104 104 104

104 104 104 104 104

88

Page 97: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

x

9.800 9.801 9.802

9.803 9.804

9.805 9.806 9.807 9.808 9.809

9.810 9.811

9.812 9.813 9.814

9.815 9.816 9.817 9.818 9.819

9.820

9.822 9.823 9.824

9.825 9.826 9.827 9.828 9 · 829

9.830 9.831 9.832 9.833 9.834

9.835 9.836 9.837 9.838 9.839

9.840 9.841 9.842 9.843 9.844

9'ο4Σ 9.846 9-847 9.848 9-849

In x

2.2823823857 2.. 2824844 213 2.2825864465 2.2826884613 2.2827904657

2.2828924596 2.2829944432 2.2830964164 2.2831983792 2.2833003316

2.2834022736 2.2835042052 2.2836061264 2.2837080372 2.2838099377

2.2839118277 2.2840137074 2.2841155 767 2.2842174 356 2.2843192842

2.2844211224

2.2846247676 2.2847265 747 2.2848283 714

2.2849301578 2.2850319337 2.2851336994 2.2852354547 2.2853371996

2.2854389342 2.2855406584 2.2856423 723 2.2857440758 2.2858457690

2.2859474 518 2.2860491244 2.2861507865 2.2862524 384 2.2863540799

2.2864557 m 2.2865573319 2.2866589424 2.2867605 426 2.2868621 325

2.2869637 121 2.2870652813 2.28716684O3 2.2872683889 2.2873699272

Δ ΐ

IO2O356 1020 252 1020 148 1020 044 1019 939

1019836 1019 732 1019628 1019 524 1019 420

1019316 1019212 1019 ιο8 1019 005 1018900

1018 797 1018693 1018 589 1018486 1018382

1018278 1018 174 1018071 1017967 1017864

1017759 1017657 1017553 1017449 1017346

1017242 1017 139 1017035 1016932 1016 828

I0i6 726 1016621 1016 519 1016415 1016312

1016 208 1016 105 1016002 1015899 1015 796

1015 692 1015 590 1015 486 1015383 1015 280

- Δ 2

104 104 104 104 104

104 104 104 104 104

104 104 104 104 104

104 104 104 104 104

104 104 104 104 103

103 103 103 103 i o 3

103 103 103 103 103

103 103 103 103 103

103 103 103 103 103

103 103 103 103 103

X

9.850 9.851 9.852 9.853 9.854

9.855 9.856 9.857 9.858 9.859

9.860 9.861 9.862 9.863 9.864

9.865 9.866 9.867 9.868 9.869

9.870 9.871 9.872 9.873 9.874

9.875 9.876 9.877 9.878 9.879

9.880 9.881 9.882 9.883 9.884

9.885 9.886 9.887 9.888 9.889

9.890 9.891 9.892 9.893 9.894

9.895 9.896 9.897 9.898 9.899

In x

2.2874714552 2.2875729729 2.2876744803 2,2877759773 2.2878774641

2.2879789406 2.2880804068 2.2881818627 2.2882833083 2.2883847436

2.2884861686 2.2885875834 2.2886889878 2.2887903820 2.2888917659

2.2889931 395 2.2890945 028 2,2891958 559 2.2892971 987 2.2893985 312

2.2894998 534 2.2896011 654 2.2897024672 2.2898037 587 2.2899050398

2.2900063 108 2.2901075 715 2.2902088219 2.2903100621 2.2904112 921

2,2905125 118 2.2906137212 2.2907149204 2.2908161094 1 2.2909172 881

2.2910184 566 2.2911196 149 2.2912207629 2.2913219007 2,2914230283

2.2915241 456 2.2916252 528 2.2917263 497 2.2918274 363 2.2919285 128

2,2920295 791 2,2921306 551 2.2922316809 2,2923327165 2.2924337419

Δ ΐ

1015 177 iqi $ 074 1014 970 1014 868 1014 7.65

1014662 1014559 1014456 1014353 1014250

1014 148 1014 044

I 1013 942 1013839 1013 736

1013633 1013531 1013428 1013 325 1013 222

1013 120 1013 018 1012915 1012811 1012 710

1012 607 1012 504 1012 402 1012 300 1012 197

1012 094 1011992 1011 890 i o n 787 I01I685

i o n 583 1011480 i o n 378 IOI1276 1011 173

1011 072 i ö i o 969 IOI0866 1010765 1010663

1010 5É0 1010458 1010356 1010254 1010152

- Δ 2

103 103 103 103 103

i o 3

103 103 103 103

103 103 103 103 103

103 103 103 103 103

103 103 103 103 103

103 i°3 103 103 103

103 103 102 102 102

102 102 T02 102 102

102102102102102

102102102102102

89

Page 98: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

9·9°° 9·90 1

.O.Ç02 9-903 9-9°4

9·9°5 9.9°6 9-907 9·9°8 9.909

9·9*ο 9 . 9 " 9 . 9 " 9-9*3 9-9*4

9-9*5 Γ9-9*6

9-9*7' 9.918 9-9*9

9-920

9 921 9 · 9 2 2

9-923 9·924

9·925 Q. Q26

9·927 9·92** 9·929

9-930 9-93* 9-932

9-933 9-934

9-935 9-936 9-937 9-938

9-939

9-940 9-941 9-942

9-943 9-944

9-945 9-946 9-947 9.948 g.949

In x

^.2925347571 2.2926357621 2.2927367 569 2.2928377415 2.2929387159

2.2930396 802 2.2931406342 2.2932415 780 2.2933425 116 2.2934434351

2-2935443 483 2.29364525Μ 2.2937461443 2.2938470271 2.2939478996

2.2940487620 2.2941496 ΐ 4 2

2.29425°4 562 2 .29435 Ι 2 ^8ι 2.294452νί>98

2 .29455 2 9 2 1 3 2.2946537 2 2 7 2.2947545 139 2.2948552949 2.2949560658

2.2950568266 2.2951575 772

2.2952583 176 2.2953590 479 2.2954597681

2.2955604781 2.2956611 779 2.2957618676 2.2958625472 2.2959632 ι67

2.2960638 760 2.2961645 2 5 2

2.2962651 642 2.2963657932 2.2964664 120

2.2965670207 2.2966676 192 2,2967682077 2.2968687860 2.2969^93 542

2.2970699 Ι 2 3 2.2971704603 2 2972709 982 2.2973715 259 2.2974720436

Δχ

1 0 1 0 0 5 0 1009 948 Ι009 846 1009 744 1009643

1009 540 1009438 1009 33 6

1009235 1009 132

1009031 ιοο8 929 ιοο8 828 ιοο8 725 ιοο8 624

ΙΟθ8 522 1008420 1008319 1008217 ιοοδ 115

ιοο8 014 1007912 1007 8ιο 1007 709 Ι007 6ο8

1007 5θ6 1007 404 1007 303 Ι007 202 1007 loo

ιοο6 998 ιοο6 897 1006796 1006695 ιοο6 593

ιοο6 492 ιοο6 390 ιοο6 290 ιοο6 ι88 ιοο6 087

1005 985 Ι005 885 1005 783 1005 682 1005 581

1005 *8ο 1005 379 1005 277 1005 177 1005 076

- Δ 2

1 0 2 Ι 0 2 1 0 2 1 0 2 Ι 0 2

1 0 2 1 0 2 1 0 2 1 0 2 1 0 2

1 0 2 1 0 2 1 0 2 1 0 2 1 0 2

1 0 2 1 0 2 1 0 2 1 0 2 1 0 2

1 0 2 1 0 2 1 0 2 1 0 2 1 0 2

1 0 2 1 0 2 1 0 2 1 0 2 Ι 0 2

1 0 2 1 0 2 1 0 2 1 0 2 Ι 0 2

1 0 1 1 0 1 1 0 1 1 0 1 1 0 1

1 0 1 Ι Ο Ι 1 0 1 1 0 1 1 0 1

1 0 I I O ! 1 0 I 1 0 1 1 0 1

X

9-950 9-951 9-952 9-953 9-954

9-955 9-956 9-957 9-958 9.959

9.960 9-961 9.962 9.963 9-964

9.965 9.966 9.967 9-968 9.969

9-970 9-971 9-972 9-973 4-974

9-975 9-976 9-977 9-978 9-979

9.980 9-981 9.982 9.983 9-984

9'911 9-986 9-987 9-988 9-989

9.990 9.991 9-992 9-993 9-994

9-995 9-996 9-997 9-998 9-999

1η χ

2.2975725 512 2,2976730486 2.2977735 36ο 2.2978740133 2.2979744804

2.2980749375 2.2981753 845 2.2982758 214 2.2983762482 2.2984766649

2.2985770716 2.2986774682 2.2987778547 2.2988782311 2.2989785 974

2.2990789537 2.299ΐ792999 2.2992796360 2.2993799620 2.2994802780

2.2995805840 2.2996808 798 2.2997811 657 2.2998814414 2 .2999 8 ι 7°7ΐ

2.3000819628 2.3001822084 2.3002824439 2.3003826694 2.3004828849

2.3005830903 2.3006832857 2.3007834710 2.3008836464 2.3009838 ι ι 6

2.3010839669 2.3OI1841 121 2.3012842473 *\ 3013843 724 2.3014844876

2.3015845927 2.3016846878 2.3017847728 2.3018848479 2.3019849 1 2 9

2,3020849680 2,3021850130 2.3022850480 2.3023850730 2.3024850880

Δ!

1004 974 1004 874 1004 773 1004 671 1004 571

1004 47° 1004 369 1004 268 1004 167 1004 067

1003 966 1003 865 1003 764 1003 663 1003 563

1003 462 1003 361 1003 26° 1003 ι6ο 1003 ο6ο

1002958 1002859 1002 757 1002657 1002 557

1002456 1002355 1002255 1002 155 1002 054

ιοοι 954 1001853 1001 754 ιοοι 652 1001553

1001 4 5 2

1001352

1001 251 1001 152 1001 051

1000951 1000850 1000751 1000650 1000551

1000 450 1000350 1000 250 1000150 1000 05ο

- Δ 2

1 0 1 1 0 1 1 0 1 1 0 1 1 0 1

1 0 I I O ! 1 0 1 1 0 1 1 0 1

1 0 1 1 0 1 1 0 1 1 0 1 1 0 1

1 0 1 1 0 1 I O ! 1 0 1 1 0 1

1 0 1 1 0 1 1 0 1 1 0 1 1 0 1

1 0 1 1 0 1 1 0 1 1 0 1 1 0 1

1 0 1 1 0 1 1 0 1 1 0 0 1 0 0

1 0 0 1 0 0 1 0 0 ΙΟΟ 1 0 0

1 0 0 1 0 0 1 0 0 1 0 0 1 0 0

ΙΟΟ 1 0 0 ΙΟΟ 1 0 0 1 0 0

90

Page 99: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

0 . 0 0 0 O.OOI 0 . 0 0 2 0 . 0 0 3 0 . 0 0 4

0 , 0 0 5 0 , 0 0 6 0 , 0 0 7 0 , 0 0 8 0 , 0 0 9

p . 0 1 0

p.on 0 . 0 1 2 0 . 0 1 3 0 . 0 1 4

0 . 0 1 5 0 . 0 1 6 0 . 0 1 7 0 . 0 1 8 0 . 0 1 9

0 . 0 2 0 0 . 0 2 1 0 . 0 2 2 Ο.Ο23 Ο.Ο24

Ο.Ο25 Ο.Ο26 Ο.Ο27 Ο.Ο28 Ο.Ο29

Q.O3O 0.03rl Ο.Ο32 Ο.Ο33 Ο.Ο34

Ο.Ο35 Ο.Ο36 Ο.Ο37 Ο.Ο38 Ο.Ο39

O.O4O Ο.Ο41 Ο.Ο42 Ο.Ο43 Ο.Ο44

Ο.Ο45 Ο.Ο46 Ο.Ο47 Ο.Ο48 Ο.Ο49

— In (l+^a) 2 v

0 . 0 0 0 0 0 0 0 000 0 .0000005 000 0 . 0 0 0 0 0 2 0 000 0 .0000045 000 0 . 0 0 0 0 0 7 9 999

0 . 0 0 0 0 1 2 4 998 0 . 0 0 0 0 1 7 9 997 0 . 0 0 0 0 2 4 4 9 9 4 0 . 0 0 0 0 3 1 9 990 0 . 0 0 0 0 4 0 4 9 8 4

0 . 0 0 0 0 4 9 9 9 7 5 0 . 0 0 0 0 6 0 4 9 6 4 0 . 0 0 0 0 7 1 9 9 4 8 0 . 0 0 0 0 8 4 4 9 2 9 0 . 0 0 0 0 9 7 9 9 0 4

0 . 0 0 0 1 1 2 4 8 7 4 0 . 0 0 0 1 2 7 9 8 3 7 0 . 0 0 0 1 4 4 4 7 9 2 0 . 0 0 0 1 6 1 9 738 0 . 0 0 0 1 8 0 4 6 7 5

0 . 0 0 0 1 9 9 9 601 0 . 0 0 0 2 2 0 4 514 0 . 0 0 0 2 4 1 9 4 1 5 0 . 0 0 0 2 6 4 4 301 0 . 0 0 0 2 8 7 9 171

0 . 0 0 0 3 1 2 4 0 2 4 0 . 0 0 0 5 3 7 8 859 0 . 0 0 0 3 6 4 3 672 0 . 0 0 0 3 9 1 8 4 6 5 0 . 0 0 0 4 2 0 3 233

0 . 0 0 0 4 4 9 7 9 7 6 0 . 0 0 0 4 8 0 2 6 9 3 0 . 0 0 0 5 1 1 7 380 0 , 0 0 0 5 4 4 2 0 3 7 0 . 0 0 0 5 7 7 6 6 6 2

0 . 0 0 0 6 1 2 1 252 0 .0006475 805 0 . 0 0 0 6 8 4 0 319 0 . 0 0 0 7 2 1 4 7 9 3 0 . 0 0 0 7 5 9 9 2 2 3

0 .0007993 608 0 .0008397 944 0 . 0 0 0 8 8 1 2 231 0 , 0 0 0 9 2 3 6 4 6 4 0 . 0 0 0 9 6 7 0 6 4 2

0 , 0 0 1 0 1 1 4 7 6 2 0 . 0 0 1 0 5 6 8 8 2 3 0 , 0 0 1 1 0 3 2 8 1 9 0 . 0 0 1 1 5 0 6 7 5 0 0 . 0 0 1 1 9 9 0 6 1 2

Δ,

5 000 15 000 25 000 34 999 44 999

5-1 999 64 997 74 996 84994 94991

104 989 114 984 124 981 134975 144970

154963 164955 174946 184937 194 926

2 0 4 9 1 3 2 1 4 9 0 1 224 886 234 870 244853

254835 264813 274 793 284 768 294 743

304717 314687 324657 334 625 344 590

354 553 364514 374 474 384430 394 385

404336 4 1 4 2 8 7 4 2 4 2 3 3 4 3 4 1 7 8 444 120

4 5 4 0 6 1 463 996 473 93T 483 862 493 790

Δ2

10000 10000 10000 10000 10000

9999 9998 9998 9998 9997

9997 9996 9996 9995 9994

9991 9991 9991 9990 9988

9987 9987 9984 9984 9983

9980 9981 9977 9975 9975

9972 9970 9969 9967 9964

9962 9961 9958 9955 9953

9951 9949 9946 9944 9942

9938 9936 9933 9929 9927

arctg x

0 . 0 0 0 0 0 0 0 000 0 . 0 0 0 9 9 9 9 997 0 . 0 0 1 9 9 9 9 9 7 3 0 . 0 0 2 9 9 9 9 9 1 0 0.0039999 787

0.0049999583 0.0059999 280 0.0069998857

p.0079998 293 0.0089997 570

0.0099996667 0.0109995 564

p . 0119994 241 0.0129992677 0 . 0 1 3 9 9 9 0 8 5 4

0 . 0 1 4 9 9 8 8 752 0 . 0 1 5 9 9 8 6 349 0 . 0 1 6 9 9 8 3 626 0 . 0 1 7 9 9 8 0 564 0 . 0 1 8 9 9 7 7 142

0 . 0 1 9 9 9 7 3 340 0 . 0 2 0 9 9 6 9 138 0 . 0 2 1 9 9 6 4 517 0 . 0 2 2 9 9 5 9 4 5 6 0 . 0 2 3 9 9 5 3 9 3 6

0 . 0 2 4 9 9 4 7 9 3 6 0 . 0 2 5 9 9 4 1 437 0 , 0 2 6 9 9 3 4 4 1 9 0 , 0 2 7 9 9 2 6 8 6 1 0 . 0 2 8 9 9 1 8 7 4 4

0 . 0 2 9 9 9 1 0 0 4 9 0 , 0 3 0 9 9 0 0 7 5 4 0 . 0 3 1 9 8 9 0 840 0 . 0 3 2 9 8 8 0 2 8 8 0 . 0 3 3 9 8 6 9 0 7 7

0 . 0 3 4 9 8 5 7 188 0 . 0 3 5 9 8 4 4 6 0 1 0 . 0 3 6 9 8 3 1 295 0 . 0 3 7 9 8 1 7 252 0 . 0 3 8 9 8 0 2 4 5 0

0 . 0 3 9 9 7 8 6 8 7 1 0 . 0 4 0 9 7 7 0 4 9 5 0 . 0 4 1 9 7 5 3 3 0 1 0 . 0 4 2 9 7 3 5 270 0 . 0 4 3 9 7 1 6 383

0 . 0 4 4 9 6 9 6 619 0 . 0 4 5 9 6 7 5 9 5 8 0 . 0 4 6 9 6 5 4 3 8 1 0 .047963T 869 0 . 0 4 8 9 6 0 8 4 0 1

* 1

9999 997 9999 976 9999 937 9999 877 9999 796

9999 697 9999 577 9999 436 9999 277 9999 097

9998 897 9998 677 9998 436 9998 177 9997 898

9997 597 9997 277 9996 938 9996 578 9996 198

9995 798 9995 379 9994 939 9994 480 9 9 9 4 0 0 0

9993 501 9992 982 9992 442 9991 883 9991 305

9990 705 9990 086 9989 448 9988 789 9988 i n

9987413 9986 694 9985 957 9985 198 9984421

9983 624 9982 806 9981 969 9981 113 9980236

9979 339 9978 423 9977 488 9976 532 9975 556

- Δ ,

10 30 50 70 90

no 150 150 170 190

210 230 250 269 290

310 330 350 370 390

410 430 450 470 490

509 529 549 569 589

609 628 648 668 688

708 728 748 768 787

807 827 847 867 887

907 926 946 966 985

Vl+x2

1.0000000 000 1 .000000 5· 000 T . 0000020 000 1.0000045 000 1 . 0 0 0 0 0 8 0 0 0 0

1 .0000124 999 1 . 0 0 0 0 1 7 9 9 9 8 1 .0000244 997 1 .0000319 995 1 . 0 0 0 0 4 0 4 9 9 2

1 . 0 0 0 0 4 9 9 9 8 8 1 . 0 0 0 0 6 0 4 9 8 2 1 .0000719 974 1 .0000844 964 1 . 0 0 0 0 9 7 9 9 5 2

1 . 0 0 0 1 1 2 4 9 3 7 1 . 0 0 0 1 2 7 9 9 1 8 1 .0001444 896 1 .0001619 869 1 .0001804 837

1 .0001999 800 1 . 0 0 0 2 2 0 4 7 5 7 1 .0002419 707 i . 0 0 0 2 6 4 4 650 1 .0002879 585

1 . 0 0 0 3 1 2 4 5 1 2 1 . 0 0 0 3 3 7 9 4 2 9 1 .0003644 336 1 .0003919 232 1 .0004204 116

1 . 0 0 0 4 4 9 8 9 8 8 1 .0004803 846 1 .0005118 690 1 .0005443 518 i.0005778 331

T . 0 0 0 0 1 2 3 125 1 , 0 0 0 6 4 7 7 9 0 2 i . 0 0 0 6 8 4 2 659 1 .0007217 396 i . 0007602 110

1 . 0 0 0 7 9 9 6 8 0 3 1 .0008401 471 1 .0008816 114 1 . 0 0 0 9 2 4 0 7 3 0 1.0009675 320

1 , 0 0 1 0 1 1 9 8 7 9 1 .0010574 409 1 .0011038 907 1 .0011513 372 1 .0011997 803

Δ.

5 000 15 000 25 000 35 000 44 999

54 999 64 999 74998 84997 94996

1 0 4 9 9 4 1 1 4 9 9 2 1 2 4 9 9 0 1 3 4 9 8 8 1 4 4 9 8 5

154 981 1 6 4 9 7 8 1 7 4 9 7 3 1 8 4 9 6 8 1 9 4 9 6 3

2 0 4 9 5 7 2 1 4 9 5 0 224 943 234 935 244 927

254917 264 907 274 896 284 884 294 872

304858 314844 324 828 334813 344 794

354 777 364 757 374 737 384714 394 693

404 668 414643 424 616 434 590 444 559

454530 464 498 474 465 484431 494 394

Δ2

10000 10000 10000 10000 10000

10000 9999 9999 9999 9999

9998 9998 9998 9997 9997

9996 9996 9995 9995 9994

9993 9993 9992 9992 9991

9990 9989 9988 9Ç88 9987

9986 9985 9984 9983I 9982

9981 9980 9979 9978 9977

9975 9974 9973 9971 9970

9969 9968 9966 9964 99*3

X

p . 000 p . 001 0 . 0 0 2 0 . 0 0 3 0 . 0 0 4

0 . 0 0 5 0 . 0 0 6 0 . 0 0 7 0 . 0 0 8 0 . 0 0 9

0 . 0 1 0 p . 0 1 1 0 . 0 1 2 0 . 0 1 3 0 . 0 1 4

0 . 0 1 5 0 . 0 1 6 0 . 0 1 7 0 . 0 1 8 0 . 0 1 9

0 . 0 2 0 0 . 0 2 1 0 . 0 2 2 1 Ο.Ο23 1 0 . 0 2 4 1

Ο.Ο25 1 Ο.Ο26 1 Ο.Ο27 1 Ο.Ο28 1 Ο.Ο29 1

O.O30I 0 . 0 3 1 1 0 . 0 3 2 1 Ο.Ο33 1 Ο.Ο34

Ο.Ο35 0.0361 0 . 0 3 7 0 . 0 3 8 I 0.0391

0 . 0 4 0 0 . 0 4 1 0 . 0 4 2 1 0 . 0 4 3 0 . 0 4 4 1

0 . 0 4 5 0 , 0 4 6 0 . 0 4 7 0 . 0 4 8 0.0491

91

Page 100: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X :

0.050 0.051 0.052 0.053 0.054

0.055 0,056 0.057 0,058 0.059

Ο.θυθ ο.ο6ι 0.0Ó2 0.063 0.064

0.065 ο.ο66 0.067 ο.ο68 0.069

0.070 0.071 0.072 0.073 0.074

0.075 0.076 0.077 0.078 0.079

α.οδο ο.ο8ι 0.θ82 0.083 0.084

0.085 ο.ο86 0.087 ο.ο88 0.089

0.090 0.091 0.092 0.093 0.094

0.095 0.096 0.097 0.098 0.099

- 1 η ( 1 - Μ · )

0.0012484402 0.0012988 117 ρ.0013501 755 0.0014025 3 1 1

0,0014558784

0.0015102 170 0.0015655465 0.0016218667 0.0016791 773 0.0017374 777

0.0017967678 0.0018570 472

0.0019183 154 0.0019805 722 0.0020438 I71

ρ.οο2ΐο8ο499 0.0021732 7 0 1

ρ.0022394 773 0.0023066 7ΐί 0,0023748512

0.0024440171 0.0025141 684 0.0025853047 0.0026574256 0.0027305 3°7

0.0028046194 0.0028796 915 0.0029557463 0.0030327836 0,0031108028

0.0031898036 0.0032697852 0.0033507474 0.0034326896 0.0035156 Χ Ι4

0.0035995 Ι 2 4 0.0036843 9χ9 0.0037702495 0.0038570846 0.0039448968

0.0040336855 0.0041234 5°3 0.0042141 9°6 0.0043059059 0.0043985955

ρ.0044922 59 ι

0.0045868960 0.0046825 056 0.0047790875 0.0048766409

Δ ΐ

503 715 513638 523 556 533 473 543 386

553*95 563 202 573 1Q6 583004 592 901

602 794 612 682 622 568 632 449 642 328

652 202 662 072 671 938 681 801 691659

701 513 711 3631

721 209 731051 740 887

750 721 760 548 770373 780 192 790008

799816 809 622 819 422 829 2ΐ8 839010

848 795 858576 868351 878 122 Ç87 887

897 648 907403 917153 926 896 936636

946 369 956096 965 8ΐ9 975 534 985 245

Δ2

9924 9920 99ΐ8 9915 9911

99°8 99θ6 9890 9897 9895

9890! 9887 9 8 8 3 9880 9876

9872 9868 9864 9860 9 ^ 6

9852 9848 9844 9839 9*35

9 8 3 ο 9826 9822 9818 9812

9807 98ο3 9798 9794 9788

9783 9778 9773 9768 9763

9758 9753 9746 9742 9736

9730 9725 9719 9713 9708

arctg χ

0.0499583957 0.0509558519 0.0519532066 0.0529504578 0,05394^6036

0.0549446421 0.0559415712 0.0569383 891 0.0579350936 0.0589316830

0.0599281551

0.0609245 081 0.0619207 401 0.0629168489 0.0639128328

0.0649086 897 0.0659044 177 0.0669000148 0,0678954 792 0.0688908087

0.0698860016 0.0708810559 0.0718759696 0.072S707407 0.0738653674

0.0748598477 0.0758541 797 0.0768483614 0.0778423909 0.0788362663

0.0798299857 0.0808235 471 0.0818169486 0.0828101 883 0.0838032642

0.0847961 745 0.0857889172 0.0867814905 0.0877738923 0.0887661 209

0.0897581 742 0.0907500 504 0.0917417476 0.0927332638 0.0937245973

0 .0947^7 460 0.0957067081 0.0966974817 0.0976880649 0.0986784558

Δχ

9974 562 9973 547 9972 512 9971 458 9970 385

9969 291 9968 179 9967045 9965 894 9964 721

9963 530 9962 320 9961 ο88 9959 839 9958 569

995728ο 9955 971 9954 644 9953 295 9951929

9950 543 9949 137 9947 711 9946 267 9944 8θ3

9943 320 9941 8ΐ7 9940 295 9938 754 9937 194

9935 6ΐ4 9934 015 9932 397 9930 759 9929 103

9927 427 9925 733 9924018 9922 286 9920 533

9918 762 9916972 9915 ι62 9913 335 9911487

9909 621 9907 736

9905 832 9903 909 9901 967

-Δ 2

1005 1025 1045 1064 ιο84

1103 1123 ΙΙ43 Ιΐ62 1182

1202 1221 1241 126θ Τ28θ

1299 1318 1338 1358 1376

1396 ι4ΐ6 1435 1454 1474

1493 1513 1532 1551 1570

1590 ι6ο8 ι628 ι647 ι666

ι68$ 1705 1724 1743 1762

1781 ι8οο ι8ΐ9 1838 ι857

1876 1895 1914 1933 1951

Γΐ+ΛΓ*

1.0012492 197 ι.0012996 554 ι . 0013510873 1.0014035 151 1,0014569387

1.0015113579 1.0015667726 ι . 0016231 826 ι.0016805878 1.0017389880

1.0017983829 1.0018587725 1.0019201 55$ ι .0019825 348 1,0020459071

1.0021102 734 1.0021756333 1.0022419868 1.0023093335 1.0023776733

ι,0024470061 1.0025173315 1.0025886494 1,0026609 597 1.0027342619

1.0028085 560 1.0028838417 1.0029601 ι88 1.0030373871 1.003 ι ι 56 464

1.0031948 963 ι .0032751367 1.0033563674 1.0034385 88ι 1.0035217985

1.0036059984 ι.0036911 876 1.0037773658 1,0038645 327 1.0039526881

ι.οο4θ4ΐ8 3ΐ8 1,0041319634 1.0042230828 1,0043151 896 1.0044082835

1.0045023644 1.0045974318 1.0046934856 1.0047905254 1.0048885 510

Δχ

504 357 514319 524 278 534 236 544 192

554Μ7 564 100 574 052 584002 593 949

6θ3 896 6ΐ3 840 623 783 633 723 643 663

653 599 663 535 S73 467 683 398

693 328

703 254 713 179 723 ι°3 733 022 742 941

752857 762 771 772 683 782 593 792 499

8θ2 404 8ΐ2 307 822 207 832 104 841 999

851 892 86ι 782 871 669 881554 891437

901 3ΐ6 911 194 921 ο68 930 939 940 8θ9

950674 960538 970 398 980256 990 m

Δ,

9962 996ι 9959 9957 9955

9954 9952 9951 9949 9947

9945 9943 9941 9940 9938

9936 9934 9932 9930 9928

9926 9924 9922 9919 9917

9915 9913 9911 99°8 99θ6

9904 9901 9898 9896 9894

9891 9889 9886 9884 9881

9879 9876 9873 9870 9867

9«64 9862 9859 9 8 $ 6 9853

X

0,050 0,051 0.052 0.053 0.054

0.055 0.056 0.057 0,058 0.059

ο.ο6ο ο.ο6ι 0.062 0.063 0.064

0.065 ο.ο66 0.067 ο,ο68 0,069

0.070 0,071 0.072 0.073 0.074

0.075 0,076 0.077 0,078 0.079

ο.ο8ο θ.ο8ι 0,θ82 0.083 0.084

0.085 ο,ο86 0.087 ο.ο88 0.089

0.090 0.091 0.092 Ο.093 0.094

0.095 0.096 0.097 0.098 0.099

92

Page 101: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

y In (!+*») Δχ arctg x Δχ Vl+jc a Δχ

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l o . io 3 1 0.107

0.108 0.109

lo.no] 0.111

l o . I I 2 0.113

| o , i i 4 |

10,115 o.n6j 0 . I I7 o . i i 8 | 0 . I I9

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10,123 10,124]

10.125 0,126 0.127 0.128

10,129

IO.I30I jo.131 10.132 0,133

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10,135. lo .136 0.137 0.138

I0.139

I0.I40I 0.141 0.142 0.143 0.1441

0.145 0.146] 0.147 0.148

10.149

0.0049751654 0.0050746605 0.0051751255 0.0052765 598 0.0053789628]

0.0054823 338] 0.0055866725 0.0056919 781 0.0057982 5oo| 10.0059054875

0,0060136 901 0.0061228572! 0,0062329880! 0.0063440819 0.0064561383

lo. 0065691 566| p.0066831 361 0.0067980761 0.0069139759] 0.0070308 349I

0.0071486524 0.0072674277] 0.0073871 602 0.0075078490 0.0076294 9 3 7I

0,0077520933 0.0078756 473 0.0080001 548 0.0081256 153 I0.0082520279I

[0,0083793919 0.0085077067! 0.0086369 714 0.0087671 853 |o.0088983 476

lo.0090304 577 0.0091635 147 0.0092975 179 0.0094324664 0.0095683 597

0.0097051 968; 0.0098429 769 0.0099816994 0.0101213 633 I0.0102619 6791

0.0104035 124 lo.0105459 960I |o. 0106894 178, 0.0108337770 0.0109790 729

994951 1004 650I 1014 343 1024 030I 1033 7io|

1043 387| 1053 056 1062 719I 1072375 1082 026)

1091 671 n o i 308 II10939I 1120 5 64 1130183

1139 795 1149 4oo| 1158998 1168590] 1178175

1187753 1197325 1206 888 1216447I 1225 99^

1235 54o| 1245 075 1254 605 1264 126! 1273 64o|

1283 148 1292 647I 1302 139I 1311 623 1321101

1330 57o| 1340032 1349485 1358933 1368 371

1377801 1387225 1396639 1406 046 1415445

1424836 1434218 1443 592 1452959 1462317

9702 9696 9690 9683 9678

9673 9666 9659 9653 9648

9641 9634 9628 9622 I9615

9608 9602 9595 9589 9582

9575 9567 956i ,9554 I9546

9539 I9532 9525 I9518 9 5 "

9503 9496 9488 948i 9473

I9466 9457 I9450 9443 I9434

9427 9419 9411 [9403 9395

9386 9378 9371 9362 9353

p.1095595 268 b . i 105474 03 7 0.1115351841, 0.1125226859

lo. 1135099 674

0.1144970 268] 0.1154838621 0.1164704715 0.1174568532] 0.1184430053

0.0996686525 0.1006586 532I 0.1016484559 0.1026380588 |o. 1036274 600

1046166576] 1056056498 1065944347 1075830104 1085713 750I

1194289260! I204I46I35 I2I4000659J 1223852815 1233702583

.1243549945

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.1273077419

.1282914978

lo. 1292750 o4o| 0.1302582589 0.1312412605 0.1322240 071 0.13320649681

0,1341887280 0.1351706986' p . i 3615 24 071 0,1371338 516] 0.1381150303

0.1390959415 0.1400765833 0.1410569540] 0.1420370518 |o, 1430168 750I

10.1439964217] 0.1449756903 0.1459546789] 0.1469333858 o.i479Il8093

9900 007 9898 027 9896 029 9894012 9891 976

9889 922 9887849 9^5 757I 9883 646 9881 518

9879 369] 9877 204 9875 018] 9872815 9870 594

9868 353 9866 094 9863 817I 9861 521 9859 207I

9856875 9854 524 9852 156 [9849 768] 9847 362]

9844 93' 98424^ 9840 03 7I 9837 559 9835 062

9832549 9830016 9827 466 9824 897] [9822312

9819 706 9817085 9814445, 9811 787I 9800 112

9806 418 9803 707I 9800 978 9798 232 9795 467I

9792 686 9789 886 9787 069I 9784235 9781 383

1970 1989 2008 2027 2045

2064 2083 2102 2120 2139

2157 2176 2195 2212 ,2231

2250 2268 2287 2305 2323

2342 2360 2378 2397 2415

2432 2451 2470 2488 I2505

2523 2542 2560 2577 2596

2614 263T 2649 2667 2685

2703 2720 2738 2756 2773

2791 2809 2826 2S43 2861

0049875 62 ij 0050875 584 0051885 395 ,0052905053 0053934553

0054973 894 ,0056023071 ,0057082082] .0058150924 0059229 593

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,0084145 973i .0085440000 .0086743 776' .0088057296 ,0089380556

0090713 552 ,0092050 282 ,0093408 740 0094770924 .0096142 828

,0097524449 ,0098915 783 ,0100316827 ,0101727 575 ,0103148024

,0104578 170! ,0106018009 ,0107467537! ,0108926 748 .0110395 640I

999 963 009811 019658] 029 5oo| 039 341

049 177I 059011 068 842 078 669 088 493

098315 108 133! 117948 127759 137567

147372 157 174 166 972 176 766 186558I

^ 6 345, 206 130] 215 911 225 688 235 461

245 232I 254998 264 762 274 520I 284 276

294 027I 303 776 313 520I 323 260 332 996

342 73°| 352458 362 184 3719041 381 621

391 334| 401 044 410 748| 420 449 430 146

439839I 449 528] 459 211, 468 892 478 568

9850 9847 9844] 9841 9838]

Φ2\ 9829 I9826I 9823

9820] 98x7 PS1*, [9810 9807' 9804I 9800 9796] 9793 9790I

9786 9783 97791 9775 9772|

9769 ,9765 9761 97571 9754

9750I 9746 9742| 9738 9735

9731 197271 9723 9719I 9715

9711 |9707| 9703 9699 9695

9691 9686 9682 9678 9674

0.100 0,101 0.102 0.103 [0.104

0.105 o.io61 0.107 0,108 I0.1091

0.110 o.ni [ [0.II2 0.1131 0.114

0.115 I0.1161 0.II7 0ΊΙ8 p.119

I 0.120 0.I2I [ 0.122 O.I23 IO.I24

O.I25 O.I26 0.127 0.12Ö O.I29

lo. 130 O.I3I lo. 132 I0.133 0.134

0.135 0.136 0.137 0.138 0.139

lo. 140 0.141 0.142 P.T43 0.144

0.145 0.146 p.147 0.148 0,149

93

Page 102: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

-)η(1+Λτ») *ι arctg x * 1 Vì+x2 * ι

I0.150I 0.151 0.152) 0.153

lo.154

|o,i55 0,156 0.1571 0.158 0.159I

I0.160I 0.161 0.162I 0.163 0.164I

0.165 0.166 0.167I 0.168

10.169

I0.I70I 0.171 0.172 0.173 J.174

0.175 0.17Ò 0.1771

p . 178 0.179

0.180I p . 1 8 1 0.182 0.183

10.184

10.185 0.186 0.187I 0.188

10,189

| 0 · 1 9 ° | 0.191 0.192 0.193

10.194

0.0111253 046J 0.0112724 711 (0.0114205 718 0.0115696058 10,0117195 723

[0.0x18704702 0.0120222989 0.0121750575 10,0123287450! 0.0124833 607

0.0126389037 0.0127953 729I 0.0129527676 0.0131110870I |o.0132703 3θο|

0.0134304 95 s

0.0135915 836 0.0137535923 0.0139165 211 0.0140803 691

I0.0142451352 |o.0144108 188I 0.0145774 187I |o.0147449 339 p.0149133 638

0.0150827072 |o.0152529 632 10.0154241 309I p.0155962094 0.0157691975

[0.0159430945 0.0161178 992] 0.0162936 108 0.0164702284 |o. 0166477 507

lo.0168261 77o| 0.0170055 063 |o.0171857 373 0.0173668694 0.0175489013]

O.OI77318 J2l! p . 0179156 009 0.0181003 866 0.0182860081 o. 0184725 245

to.195 0.196 0.197) 0.198 0.1991

I0.0186599 346 0.0188482376] |o.0190374 323 0.019227; 178 0,0194184929!

1471 665 1481 007I 1490 34o| 1499 665 1508979

1518287 1527586' 1536875 1546157 1555 43o|

1564692 1573 9471 1583 194 1592430 1601 658

1610878 1620087 1629 288 1638 48o| 1647661

1656836 1665 999 1675 152 1684 299I 1693 434

1702 560! 1711 677 1720785 1729881 1738 970I

1748047 1757 116 1766 176) 1775 223 1784263

1793 293, 1802 310 1811 321 1820 319I 1829 308

1838288 1847 25 7| 1856215 1865 i64| 1874 101

1883 030I 1891 947| 1900855 1909 751, 1918 637

9345 9337 9329 9320 9311

9303 9294 9286 9277 9268

9259 9251 9242 9232 9224

(9215 9205 9196 9187 9178

9169 9158 9150 9141 9130

I9121 9112 9102 9093 9083

9073 9064 Ì9053 9044 I9035

9024 9014 9004 8994 8984

8974 8964 8953 8943 8933

I8923 8912 8902 8891

0,1488899476 b. 1498677 990I 0.1508453 616 p. 1518226 339

1527996 139

1537763 001 1547526 907]

0.1557287859 0.1567045 780 p. 1576800 714

1586552622 1596301 488 1606047295 1615790025 1625529 662I

0.1635266 188I 0,1644999587 10,1654729842!

1664456935 1674180 851

p. 1683901 571 1693619 o8o|

lo. 1703333 361 [o. 1713044 396

1722752 170]

jo. 1732456 665 0.1742157864 P.1751855 753 0.1761550313 I0.1771241528

1780929 382 1790613 859

lo. 1800294 942 I0.1809972614

1819646 860

,1829317662 ,1838985006 1848648 874 ,1858309251 , 1867966 Ι2θ|

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O.I925832775 O.I935464642 O.I945O92873 O.I954717454 |o. 1964338 367I

9778514 9775 626 9772 723 9769 8oo| 9766 862

9763 906 9760 932 9757941 9754 934, J9751908

9748 866 9745 807I 9742 73o| 9739 637 9736 526

9733 399 9730255 9727093 9723 916 9720 720I

9717509; 9714 281 9711035 9707 774 9704 495

9701 199 9697 889 9694 560I 9691215 9687854

9684 477 9681 08 9677 672I 9674 2461 9670 802

9667 344I 9663 868 9660377 9656 869 9653 345

9649 8061 9646 2491 9642 678 9639 090I 9635 487

9631867 9628231 9624 581 9620913 9617232

28781 2895 2913 [2930 2947

2965 2983 2999 3016 3034

WA 3068 3085 3102 3119

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3220 3237 3253 3270 3288

3303 3330 3337 3353 3369

3386 3403 3418 3435 3451

3467 3483 3500 3516 3531

3548 3564 3580 3595 3612

3628 3643 3659 3675 3690

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94

Page 103: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

— i n ( l - f * 2 ) 2 Δ ι arctg x *ι Vì+x2

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0 . 2 3 5 5 4 4 9 807I 0 . 2 3 6 4 9 0 3 030I P . 2 3 7 4 3 5 1 947 0 . 2 3 8 3 7 9 6 5 4 5 . I0.2393236 8 i o |

0 . 2 4 0 2 6 7 2 728 p . 2 4 1 2 1 0 4 285 0 . 2 4 2 1 5 3 1 467 0 . 2 4 3 0 9 5 4 262

I 0 . 2 4 4 0 3 7 2 6 5 4

9 6 1 3 5 3 2 9 6 0 9 8 1 9 9606 0 9 0 9 6 0 2 3 4 5 9 5 9 8 5 8 4

9 5 9 4 8 0 8 9 5 9 1 0 1 7 , 9 5 8 7 2 1 0 9583 388 9579 55o|

9 5 7 5 6 9 8 9 5 7 1 8 3 0 9567 947| 9 5 6 4 0 4 8 9 5 6 0 1 3 5

9556 207I 9 5 5 2 2 6 3 9 5 4 8 3 0 5 9544 332 9 5 4 0 3 4 3

9536 34o| 9 5 3 2 3 2 2 9528 290 9524 242I 9 5 2 0 1 7 9

9516 104 9 5 1 2 0 1 1 9 5 0 7 9 0 6 9503 786 9499 6 5 o |

9495 501 9491 337 9487 159, 9482 967 9478 760I

9474 539 9470 304 9 4 6 6 0 5 5 9461 791 9 4 5 7 5 1 4

9453 223 I9448917] 9444 598 9440 265 9435 918

9 4 3 1 5 5 7 9 4 2 7 1 8 2 9422 795 9418 392 9413 977

3707 3721 3737 3753 3768

3783 3799 3814 3830 3845

3860 3875 3891 3906 3920

3936 3951 3965 3981 3996

4010 4025 4040 4055 4069

4084 4099 4112 4128 4143

4156 4171 4185 4199 4214

4228 4242 4256 4271 4284

4298 4313 4326 4340 4354

4368 4381 4395 4409 4422

.0198039027!

.0200004 902

.O201980 20θ|

.0203964 916

. 0 2 0 5 9 5 9 0 4 4

1 . 0 2 0 7 9 6 2 5 7 8 1 . 0 2 0 9 9 7 5 5 1 4 1 .0211907 846 i . 0 2 1 4 0 2 9 567I I . O 2 1 6 0 7 0 6 7 3

I .O21812I 158I i . 0 2 2 0 1 8 1 016 I . O 2 2 2 2 5 0 2 4 2 1 , 0 2 2 4 3 2 8 8 2 9 I . 0 2 2 6 4 T 6 772

Ι , 0 2 2 8 5 ΐ 4 θ 6 6 I , 0 2 3 0 6 2 0 705 I .O232736 682 1 ,0234861 992 1 ,0236996 63O

.O239140589

.0241293 864

.O243456448

.O245628 336

. 0 2 4 7 8 0 9 5 2 2

I.O25OOOOOOO I.O252199 764 I . O 2 5 4 4 0 8 8 0 8 I .O256627 126 I .O258854 712

i . 0 2 6 1 0 9 1 $6o| 1 . 0 2 6 3 3 3 7 6 6 4 1 .0265593 017 1 , 0 2 6 7 8 5 7 6 1 5 1 . 0 2 7 0 1 3 1 4 5 0

1 .0272414 5I7I 1 . 0 2 7 4 7 0 6 8 0 8 1 .0277008 32o| 1 . 0 2 7 9 3 1 9 0 4 4 1 .0281638 974

1 .0283968 106 1 . 0 2 8 6 3 0 6 4 3 1 1 . 0 2 8 8 6 5 3 9 4 5 1 .0291010 640] 1 .0293376 511

1 . 0 2 9 5 7 5 1 5 5 1 1 ,0298135 754 1 .0300529 113 1 ,0302931 622 1 . 0 3 0 5 3 4 3 2 7 4

1965 875 1975 298 1984 716 1994 128 2 0 0 3 5 3 4

2 0 1 2 9 3 6 2022 332 2031 721 2041 106 2 0 5 0 4 8 5

2059 858I 2069 226 2078 587I 2087 943 [2097 294

2 1 0 6 6 3 9 2115977I 2125 310 2134 638] 2 1 4 3 9 5 9

[2153275 2162 584 2 1 7 1 8 8 8 2181 186 [2190 478

2199 764 2209 044 2218 318 2 2 2 7 5 8 6 2236 848)

2246 104 2255 353 2264 598 2273835 2283 067)

2292 291 2301512I 2310724 2319 930| 2329 132

2338325 2347514 2356695 2365 871 2375 o4o|

2384.203 2393 359 2402 509 2411 652 2420 790I

9426 9421 9415 9409 9404

9399 9393, 9387I 9382 9376

937o| 9364 9358 9353, 9348

9342 9336 9330 9324 93'8

9312 93o6| 9301 9295 92891

9283 9277I 9271 9265 9259

9253 9247I 9241 9235 9228

9222 9216 J9209 9204 9197I

9191 9185 9179I 9i66

9159 9153 9146 9140I 9134

0.200 lo. 201 I0.202 0.203 0.204

0.205 I0.206 p .207 p .208 p .209

p .2101 0.211 [ 0.212 O.213 O.214

'0.215 O.216 O.217 O.218 O.219

0.220 0.221 [ 0.222 O.223 O.224

O.225 O.226 O.227 O.228 O.229

O.23O O.23I IO.232 O.233 [0.2^4

0.235 ,0236 [0.237 0.238 |o,239

P.2401 0.241 0,242 0.243 p.244

0.245 0,2461 p .247 0.248 10.249

95

Page 104: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

1Π(1+ΛΓ2) Δι Δ2

ο.25θ| 0.251 0.2J2 0.253 0.254

0.255, 10.256 0.257

I ο. 2$8Ι 0.259

0.0303123 n o Ο.Ο3Ο5480 201 Ο.Ο3Ο7845585, 0.0310219 248 0.0312601 179

0.0314991 366' 0.0317389795 [0.0319796454 0.0322211 333 0.0324634416

0.26θ| 0.2ÖI 0.262 0.263 0.264Ι

0.265 I 0.266 0.267Ι 0.268 0.269J

0.27θ| 0.271 0.272 0.273 ο,274

0.275 0.276 0.277 0.278 0.279

I ο.28ο| 10.281 I 0.282 10.283 10.284

[2357091 8298 2365 384 8286 2373663 8274 2381 931 8262 2390 187 8249

23984298236 24ο6 659 8225 2414879 82I2 2423083 8199 |243ΐ 277 8187

2439 457 8175 2447 626 8ι62 2455 7808149 24639248137

12472 0548124

2 4 8 0 1 7 2 8 m 2488 276 8098 2496 368 8087

_ _ 25044498073 [o.0349313 799P5I2 5ΐ4|8ο6ο

0.0339344 534 0.0341824706 0.0344312982 0.0346809 35ο|

0.285 0.286] 0.287 0.288 0.289

ο.29θ| 0.291 0.292 0.293 0.294

0.295 0.296! 0.297 0.298 0.299

jo.0327065 693 0.0329505 ΐ5ο| 0.0331952776 0.0334408556 0.0336872 48ο|

0.0351826 313 0.03543468821 0.0356875 492|

0359412131 0.0361956 784

0.0364509441 0.0367070086 0.0369638 709

0372215 295 0.0374799831

2520 569 [2528 6ιο| 2536639 2544653 2552 657|

2560 645 2568623 2576 586 Ι2584536 2592476

0377392 307 0.0379992 7°6 0.0382601017! 0.0385217226 0.0387841 321

.0390473 289

.0393ΙΙ31Ι5,

.0395760787

.0398416292

.0401079 6ι8

(0.0403750749 0.0406429673 0.0409116 377| 0.0411810848 ο.ο4ΐ4513°72

0,0417223 035 0.0419940725 jo. 0422666128 0,042539923! 0.0428140 020Ι

2600 399 2608 311 2616 209 26240951 '-1631 968

2639 826 2647 6721 2655 505, 2663 326] 2671131

2678 924 2686 704 2694 471

2702 224 [2709 963

2717 690Ι 2725 403 2733 103 2740 789Ι 2748 461

8048 8035 8022 8009 7996

7983 7971 7956 7945 7931

7918 7905 7892 7879 7866

7852 7839 7822 7813 7799

7786 7773 7760 7746 7733

7720 7706 7693 7679 7667

arctg x

0.2449786631 0.2459196 179| 0.2468601 285 0.2478001934 0.2487398114

0.2496789 8io| 0.2506177011 0.2515559702I 0.2524937 87o| 0.253431M03

0.2543680586 0.2553045 ιο6 0.2562405052 0.2571760408 0.2581111 164

Δχ - Δ

0.2590457 3 ο. 259979s * . 0.2609135692 0.2618467 9Χ3 0,2627795 468

0.2637118 345 0.2646436 53°| 0.2655750012 0.2665058 777| 0.2674362814

2683662 109I 2692956650 2702246 4261 27ΐΐ53 Ι422 2720811 628|

0.2730087031 0.2739357618 0.2748623 37 s

0.2757884298 0.2767140367

ο.277639χ57ΐ 0.2785637 9°°| 0.2794879341 0.2804115 883 0.2813347513

0.2822574 22ο| 0.2831795 992 0.2841012 817] 0.2850224683 0.2859431 58ο|

2868633495 2877830417 2887022335 2896209 236 2905 39 ι Ι Ι 0

9409 548 9405 ιο6 9400 649 9396 ι8ο| Ι9391 696

9387 201 938269Ι 9378 ι68 19373 633 [9369 ο83

9364 52θ| 9359 946 9355 356| 9350756 9346 141

9341 514 [9336873 9332 221 9327 555, 9322 877|

9318185 9313482 9308 765 9304 037| 19299 295

9294 54ι 9289 776 9284 996 9280 2θ6[ 9275 403

Ι9270587Ι [9265 760 9260 920 9256069 9251 204

(9246 329 9241 441 9236 542, 9231 63ο 9226 707

9221 77a| 9216 825 9211 866 9206 89 η\ [9201 915

[9196922 9191918 9186901 9ΐ8ι 874 9176835

4436 4449 4463 4476 4489

4502 4517 4529 4542 4557

4568 4582 4595 4607 4621

4634 4646 4659 4672 4685

4697 [4710 4722 4735 4748

4759 4772 4785 4797 48ιο

4821 4834 4845 4858 4870

4882 4893 49ο6 4917 4929

4941 4953 4964 4976 4987

[4998 5011 5022 5033 5044

Γΐ+ΛΓ 2

Ι.Ο307764064 ι.0310193985 1.0312633029] ι.0315081192 1.0317538466

Δχ

,0320004845 .0322480322] .0324964 891 .0327458545 .0329961 278|

1.0332473082 1.0334993 953 1.0337523 88ι 1.0340062862 1.0342610889

.0345167954

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3.0358088627 1.0360699 783 j .0363319 931

1.0365949064 1.0368587175

1.0371234256] 1 .0373890 3°2 1.0376555305 1.0379229259 1.0381912 ΐ55

1.0384603989 1.0387304751 1.0390014437] 1.0392733038 1.0395460548

1.0398196959 1.0400942265 1,0405696458]

3 loi

1.04064595· 1.04092 31 4̂

1.0412012294 1.0414801966 1.0417600 491 1.0420407862 1.0423224069!

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.0434577136

.0437437425

2429 921 2439 044 2448 163 2457 274] 2^66 379

2475 4771 2484 569 2493 654 2502733 2511 8ο4

2520871 2529928] 2538981 2548 027| 2557065

2566 097I 2575 123 2584 141 2593 154] 2602158]

2611156 2620 148 2629 133 2638 m 2647081

2656 046 2665 O03 2673 954 2682 896 |269ΐ 834

2700762 2709 686 2718601 2727 5 ιο| 2736411

2745 3°6| 2754 193 2763 075 2771 947 780814

2789 672 2798 525 2807371 2816 207 2825 039

2833 862 2842 678 2851488 286ο 289 2869 084

Δ2

9127 9121 9115 9108 9Ι0Ι

9095 9089 9082 9075 9069

9062 9055 9049 ο°42 9035

9°29 Ç022 9015 9θθ8 9001

8995 8989 8982 8974 8 96 7

8961 8954 8947 8940 8933

8926 8919 8912 8905 8898

8891 8884 8877 8870 8863

8856 8849 8841

ΨΑ 8827

8820 88ΐ3 88ο6 8798 8791

X

0.250 0.251 0.252 0.253 0.254

0.255 0.256 0.257 0.258 0.259

0.200 0.261 0.26 2 Ο.263 0.204

Ο.265 ρ.266 0.207 0.268 0.269

0.270 0.27? 0.272 0.273 0.274

0,275 0.276 0.277 0.278 0.279

0.28θ 0.281 0.282 0.283 0.284

0.285 0.286 0.287 0.288 0.289

0.290 0.291 0.292 0.293 0.294

0.295 0.296 0.297 0.298 0.299

96

Page 105: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

- In (1+*2) ài Δ2 arctg x Δ χ - Δ 2 | Vi +Λ Δχ Δ 2

0.300J 0,301 0.302 0.303 0,304

0-305 0.306 0-307 0.308 0.309

0.3 ιο| 0,311 0,312 °·Ϊχ3 ο.3 M

0.316 0.317 0.318 0.319J

0.320) 0.321 0.322 0.323 0.324

0.325 0.326 0.327Ι 0.328 0.329

0.330Ι 0.331 °·33*| 0-333 °·334

0-335, 0-336 0-337 0-338 0-339

0.0430888481 |ο. 043 3644603 0.0436408 369 |ο.0439179 768 0.0441958 786

0.0444745 409 0.0447539624 |ο. 0450341 4ΐ6 0.0453150 774, 0.0455967682

0458792 ΐ26| 0461624 095

|ο.0464463 574 0.0467310548 0.0470165005

0.0473026 93°| 0.0475896 3ΐχ

0.0478773 *33 0.0481657381 0.0484549 °44|

0.0487448107 0,0490354 555 0.0493268 37« 0.0496189554 |ο. 0499118076

2756 Ι22| 2763 766 2771 399 2779 ° ι 8 2786 623

J2794 215. 28οι 79 2

2809 358

28ι6 9θ8| |2824 444

0.0502053 93°[ 0.0504997100 0.0507947572' 0.0510905 333 |ο. 0513870 369

[0.0516842665 0.0519822 209I |ο. 05 22808984 0.0525*02979 |ο. 0528804 178

0.0531812 568| 0.0534828 ΐ34| ,0.0537850863

0540880 74θ| I0.0543917752

ο·34ο| 0.341 °·342| 0-343 0.3441

0.345, 0-346 0.347 0-348 ο.349!

2831969 J2839 479 2846 974 2854 4571 286ι 925

2869 381 2876 822Ι 2884 248 2891 663 Ι2899 063

2906 448 2913 821 2921 17 8

2928522 |2935 8541

2943 ΐ7θ| Ι2950472 2957761 2965 036 |2972 296

2979 544 2986 775 2993 995 30011991 3θθ8 390

3015 5 6 6 3022 729 3029 877 3037012 3044 133

to'. 0546961 885 lo.0550013 122Ι 0.0553071452 0.0556136 86ο| 0.0559209331

lo. 0562288 852Ι 0.056*375 409 0.0568468987 0.0571569571 [0.0574677148

3051 237Ι 3058 330 3065 408 3072 471 3079 521

7652

7626 7612 7598

7585 7572 7558 7543 7531

75ΐ8 7503 748Q 747Ó 7462

7449 7434 7421 74ο8 7393

7379 7365 7350 7338 73*4

7309 7295 7282 7268 7254

7240 7226 7212 7198 7ΐ84

7170 7156 7142 7128 7113

7099 7θ86 7071 W7 7043

3086 557, 3093 578 3100584 3107 577, |3ΐΐ4 556

0.2914567945 0.2923739 73°| 0.2932906453 0.2942068 1051 0.295*224672

0.2960376145 0.2969522 5ΐ2| 0.2978663 761 0.2987799884 0.2996930 867I

0.3006056700 0.3015177374 0.3024292875 0.3033403195, 0.3042508322

7029 7014 7000 6986 6971

3051608 246| 3060702956 3069792441 3078876 692 3θ87955696

0.3097029445. 0.3106097928 0.3115161134 0.3124219054 0.3133*71 676

ο. 314231» 99 1

0.3151360 988I ο. 3160397 659I 0.3169428991 0.3178454976

ο.3ΐ874756ο4 0.3196490865 0.3205500 7481 0.3214505244 0,3223504343

9171 785 9166 723 I9161 652I 19156567! 9151473

9 Μ 6 367! 9141 2491 9136 123 9130983 9125 833

9120 674Ι 9115501 I9110320I 9105 127' 9099924Ι

9094 710 9089 485 9084251 J9079 004 9073 7491

9068483Ι 9063 206 [9057920 9052 622[ |9047 3χ5

9041 997| 9036 671 [9031 33: 9025 9© Ι9020 62Ì

9015 2ÖI 9009 883 9004 496| 8999 099| 8993 693

0.3232498036 0.3241486 313 0.3250469 ι64 0.3259446 580I 0.3268418551

0.3277385 ο68| 0.3286346121 0.3295301 7°ο| 0,3304251 798| °·33Ι3196 403

0.3322135 5°7 0.3331069 io* 0.3339997176 0.3348919723 0.335783673*

8988 277 8982851 |89774ΐ6| 8971971 8966 517I

8961053 8955 579, 8950 098| 8944 6θ5 8939 104

5056 5066 5078 5090 5100

5112 5122 5133 5Μ5 5155

5ΐ66 5177 5ΐ87 5198 52θ8

5219 5230 5241 5251 5261

5271 5281 5292 5302 5312

53** 533* 5343

536*

5372 5382 5392 5402 5411

5421 5431 5440 5450 5459

5469 5478 5487 5497 5505

8933 595 8928 074| 8922 547 8917009 8911462

5515 5524 S533 5542 5551

1.0440306 509I 1.0443184380 1.0446071032 1.0448966456 1.0451870 646|

1.0454783594 1.0457705293 1.0460635 73 6

1.0463574915 1.0466522823

1.0469479 45 *| 1.0472444796 1.0475418846 1.0478401 596 1.0481393 037I

1.0484393163 1.0487401 966I 1.0490419 4391 1.0493445 573 1.0496480362

77871Ι 2886 652| 2895 424 2904 ΐ9θ| 2912 948

2921 699 Ι2930443 [2939 1791 2947 9°8 2956629

2965 344 2974 050 2982 750 2991441 |3θθο 126

3008803Ι8674] 30174738666 3026 1J4 8658 30347898651 3043 437|8643

Ι8784 8776

8769Ι 8762Ι [8754

87471 8740J 8733 8725 8718J

8711 87031 8695 8688 868ι

1.0499523 799| 1.0502575875 1.0505636 582! 1.05 ο8*;οϊ 915 1.0511783864

1,0514870422 1.0517965583 1.0521069 3371 1.0524181 6781 1.0527302598

1.0530432090I 1.0533570 145 1.0536716756 ι .053987 χ 9ΐ6 1.0543035616

1.0546207849 1.0549388608 ι . 05 525 77 884, 1.0555775670 ι.0558981 959

1.05 62196 741 1.0565420011 ι.0568651.759| ι.0571891 978[ 1.0575140661

1.0578397799 1.0581663385 1.0584937411 1.05 88219 869 1.0591510752

3052 076I 3060 7°7| 3069 333 30779491 3086 558|

3095 ι6ι 3103 754| 3112341 3120920! 3ΐ*9 49*|

3138055 3146611 3155 ι6ο| 3163 7°ο| 317**33

3180759, 3189276 3197 786 3206 289 3214782)

3223 270 3*3Χ 748 3240 219 3248 68j 3*57138

3265 586 3274 026 3282 458Ι 329088 3*99 *9!

8635, 86281 8621 86ΐ3 86ο6!

|ο.3θθ I 0.301 0.302 Ι0·303 0.304

0.305 0.306 0,307 0.308 Ρ.309

0.3101 0.311 0.312 [0.313 Ρ-314

0.3I51 0.3161 °.3*7 0.318 |ο.3ΐ9

0.3201 0.321 |θ·322 0-3*3 [0-3*4

8598, 8590 858 857< , J8568 8560 [855* 8544, 8 $ 36 85*9 I 8522 8514 85ο6| [8498 8491

8483 |8475, 8467 8460 845*|

8444 8436 8428 842θ| 8412

0.325 0.326 0.327 Ι0.328 °·3*9

0.330 0.331 Ρ.33* |ο.333 0-334

0.335 0 .3Ρ Ρ-337

•338 [0.339

ρ.340 Ρ-34Ι 0.342 0.343 0-344

0.345 0.346 Ρ-347 Ρ.348 [0.349

97

Page 106: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

l n ( l + * 2 ) Δχ arctg x Δχ - Δ 5 Vi+x* Ai

0.350Ι 0.351 0.352 0.353 0354

0.355, 0.356

Ρ·357| 0.358 0.359

0.360Ι 0.361 0.362 0.363 0.364

0.365 0.366 0.367 0.368 0.369

θ·37θ| 0-371 0.372 0-373 0-374

0-375 0.376 0-377Ι °·378| 0-379

0,380! 0.381 0.382] 0.383 0.384

0.385 0.386 Ο.387Ι 0.388 0.389

°·3 9°| 0.391 0.392 0.393 0.394

0-395 0.396 0.397Ι 0.398 0.399

0.0577791 704 O.O580913 223 Ο.Ο58404Ι 693 lo. 0587177 099 0.0590319426

0.0593468 660 0,0596624 787' 0.0599787793 0.0602957663 0.0606134 384Ι

0.0609317939! 0.0612508 316 0.0615705 500 0.0618909477 lo. 0622120 332

0.0625337 751

0.0628562019] 0.0631793 0 2 3 0.0635030747] ο.0^38275 ΐ78 |

0.0641526 301 0.0644784 ιο2| 0.0648048565 jo. 0651319677 0.0654597423,

0657881 790 0661172 761

0.06644703*3 0.0667774462 0.0671085 163

0.0674402412 0.0677726 Γ93 0.0681056493 0.0684393 297 0.0687736 59°

lo.0691086 359 [0.0694442 588Ι 0,0697805 264

0701174370I 0.0704549894

0,070793 ι 821 0.0711320 135 jo.0714714 823 0.0718115 870] 0.0721523261

,072493^9^2 0728357018 0731783355 ,0735215 979] ,0738654874

3121 519 3128470 3135406 3142327 3149234

3156 127 3163006 316987ο] 3176 721 3*83 555

3190377] 3197184 3203 977] 3210 755 3217 5ΐ9|

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3257801 3264 463 3271 112 3277 746 3284 367ι

3290971 3297562 3304 139 3310 7οτ 3317249

3323 78ι 3330 300 3336804 3343 293; 3349 769

3356 229 3362 676 3369 ιο6Ϊ 3375 524, 3381 927

33 8 83ΐ4 3394 688 3401 047| 3407 391 3413 721

3420036 3426 337| 3432624 3438 895 3445 151

6957 6944 6929 6914 6900

6886 6872 6857 6842 6828

68ΐ5 68οο 6786 6771 6757

6742 6728 6713 6700 6685

6670 6655 6642 6627 66ΐ2

6597 6584 6570 6555 6540

6525 6512 6497 6482 6468

6453 6438 6424 6411 6395

6380 6367 6352 6337 6323

6308 6294 6279 6264 6250

0,3366748*94 ο,3375654ΐοι 0.3384554443 0.3393449 212 0.3402338399

0.341122X 994 ο, .3 420099 991

0.3428972379 0.3437839 *49 0.3446700295

3455555 8 ο 6

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3482088 45ο| ,3490921 340

0.3499748553 0.3508570 083 0.3517385919 0.3526196055 0.3535000482

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.3613982097

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3631470099 3640205 4οο 3648934890 3657658 562 3666376408

0.3675088422 0.3683794 595, 0.3692494 9 2θ| 0.3701189 39J

0.3709877999

ο .37^560 738 0.3727237601 ο.37359°858ο 0.3744573669 0.3753232860

0.3761886 147 0-3770533 522] 0.3779174978 0.3787810 510 0.3796440 n o

8905 9°7 8900 342 8894 769 8889 187 8883 595

8877 997] 8872 388 8866 77θ| 886ι ΐ46| 8855 5^1

8849 868 8844 2ΐ8| 8838558 8832 890] 8827213

8821 53°| 88ΐ5 836 8810136 8804 427] 8798 709

8792 985 8787251 8781510] 8775 76ι 8770005

8764 239 8758468 8752687 8746 899] 8741 103

8735301 8729 49θ| 8723 672 8717846 8712014

8706 τ 73 8700 325 8694471 8688 6ο8 J8682 739|

8676 863 8670 979 8665 089 8659 191 8653287]

8647 375 8641 456 8635 532, 8629 6οο 8623 66]

556ο 5569 5578 5587 5595

5604 5613 5621 5630 5639

5647 5655 5664 5673 5680

5688 5697 5705 5713 5721

5729 5737 5745 5753 5761

5769 5776 5784 5792 5799

5807 58ΐ5 5822 5829 5837

5845 585ΐ 5859 5866 5873

5880 5887 5894 5901 59ο8

5 9 ι6 5922 5928 5936 5942

.0594810 ο5ο|

.0598117758

.0601433 865

.0604758366

.0608091 251

1.0611432 5ΐ4 ι . 0614782 146 ι.0618140 138 1.0621506484 1.0624881 176

.0628264 2041 ,0631655 563 .0635055 242 .0638463235 .0641879533

1.0645304129 1.0648737014 1.0652178 ι8ι 1.0655627621 1.0659085 327

1.0662551 289 1.0666025 502 1.0669507955 1.0672998 641 1.0676497553,

1.0680004682 ι.0683520 0J9 1.0687045 558

1.0690575 289 1.0694115 204

1.0697663 296] ι.0701219 557 1.0704783977 ι.0708356 55ο ι.0711937266

1,0715526 119 1.0719123098 1.0722728 198 ι.072634J 4ο8 1.0729962 721

Ι.0733592 129 1.0737229 624I 1.0740875 197 1.0744528840] 1.0748190545

.0751860304

.0755538 Ι ο 8

.0759223 950]

.0762917820]

.0766619 7*1

3307 7ο8 3316 107 3324 501 3332885 3341 263

3349 632 3357992 3366346 3374 692 3383028

339J 359 33^9 679 3407 993, 3416298 3424596]

3432885 3441 ιβη\ 3449 44ο| 3457 706 3465 962J

3474 213 3482 453, 349° 686 349 89 1 2

3507 129

3515 337 3523 539 3531731 35399*5 3 5 4 8 092

3556261 3564 42θ| 3572*73, 3580716 3588853

3596 9791 3605 loo 3613 21θ| 362t 313 3629 408

3637495 3 6 4 5 5 7 3 3653 643 3661 705 3669 759

3677 804 3685 842Ι 3693 870Ι 3701 891 3709903

8405 8397 8389 8381 8373

8365 8357 8350 8341 8535

8325 83'7 8309 830ΐ 8293

8286 8278 8270 8261 8253

8245 8237 8229 8221 ι

8213h

8205 8197 8188 8180 8τ73 8ι64 8ΐ56

8ι48 8ι4ο . 8 J 3 2

8124 8116 8107 8099 8091

8083 8074 |8ο66 8058 8050

8ο4ΐ 8033 8ο25 8οΐ7 8οο8

98

Page 107: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

ln(l+*2) Δι arctg x Vi +χ2 *1

ο.4οο| 0.401 0.4021 0.403 0.404

0.405 ο.4θ6 0.407 0.408 0.409'

ο.4ΐο| 0.4'ι ο.4ΐ2| 0.113 0.114

0.415 ο,4ΐ6

I 0.417 0.418 0.4

0.420J 0.421 0.422 0.423 0.424

0.4251 0.426 0.427 0.428 0.429

0.4 30| 0.431 0.432 0433 0.434

0,435 0.436

ρ.437 0.438 0.439

ο.44ο| 0.441 0.442 0.44 0.444

0.445 0.446 0.447 0.448 0.449

0.0742100025 0.0745551 420| 0.0749009043 0.0752472879 0.0755942914

10.0759419 134 10,0762901 523

0766390067 0.0769884753 0.0773385 564

0.0776892486! Ι0.0780405 5ο6 0.0783924608 0.0787449777 0.0790981 cool

lo. 07945 ! 8 262 0.0798061547 0.0801610842 [0.0805166 132 0.0808727403

0.0812294639 0.0815867 826Ι 0.0819446 95°| (0.0823051 996 0.0826622 95ο|

0.0830219 797| 0.0853822 522 0.0837431 m 0.0841045 549 0.0844665 82j

[0.0848291 9'5 0.0851923 8ΐ3 0.0855561 503 0.0859204969 0.0862854 ΐ97|

0.0866509 172 0.0870169 "~ ο.0873836 307I [0.0877508 438Ι 0.0881186258

o.088486g 753 0.0888558908 0.0892253 7°8| 0.0895954 139 [0.0899660 ι88

3451395 3457623 3463 836 3470 θ3 5 3476 220

3482 389 3488 544 3494 686 3500811 3506922

3513 °2θ| 3519 io2

3525 ι69 3551223 3537 262|

3543 285 3549295 3555 290| 3561271 3567256

3|£3 ι87| 3Τ79 !24 3585 046] 3590 954 3596847

3602 725 3608 589 3614438 3620 272I 3626094

(6236 6221 62θ6 6192 6177

6ι62 6ιΑ8 6ΐ33 6ιι8 6104

6090 [6ο75 6ο6ο 6ο47 6031

6οι6 6οοο 5988 5973 5958

5944 59^0 5915 5901 5886

5871 5857 5842 5828 58ΐ3

0.0907089076 0.0910811 887Ι [0.0914540 258I 0.0918274 172

3631898 5657 690I 3643 466 3649 228 3654 975

3660 709 3666 426 3672 131 3677 82ο| 3685 4951

3689155 3694 8οο| 3700431 3706049 3711 650!

3717238 3722 8ιι 5728571 3733 9 Μ 3739 443

5798 5784 5769 5755 5740

5725 5711 5697 5682 5668

5653 56 38 5624 5609 5594

558ι 5566

5536 5522

0.3805063 771 0.3815681487! 0.5822293 251 0,3830899 056] 0.5859498897

0.5848092 765 0.5856680656 0.5865262 562 ο. 3875858 478Ι 0.5882408 396

0.3890972 311 0.5899530216 0.5908082 105 ο. 59τ6627 97 2

ο. 5925167 8ιο|

0.3933701 0ΐ5 0.5942229 5791 0.5950751 ° 9 8

0.5959266 765 0.5967776371

0.5976279915 0.3984777389 0.5993268 788| 0.4001754 ι°6 0.4010235 336

0.4018706474 0.4027173 5ΐ4 0.4035634451 0.4044089278 0.4052537991

0.4060980583 0.4069417 °5ο| 0.4077847 587ι 0.40862715 8 7 0.4094689 646

86ΐ7 7ΐ6 86ι ι 764 86ο5 8ο5 8599841 8593 868|

8587891 8581906 |85 75 9ΐ6, 8569 9ΐ8| I8563915

8557 905 8551889 8545 867 8539838 8533805

8527 764 8521 719 8515 665 |8 509608 8503 544

8497 474 8491 399 8485 5ΐ8 8479 250Ι 8473 J38

[8467040 846ο 9371 8454827 8448 713 Ι8442592

8436467Ι 8430337 8424 200 8418059' [8411 913

0.4103101559| 0.4111507 320 0.411990692.4 0.4*28500567 0.4136687 642

0.4145068 746 0.4153443673 0.4161812418 0.4170174 976 0.4178531343

0.4186881 5ΐ4 0.4195225484 0.4203565 249 0.4211894803 0.4220220 142

8405 76ΐ 8599 6θ4 8593 443 8587275, 838ι 104'

8374927Ι 8368745 8362558 8356567 8550171

5949| 5956 5962 5968 5975

598ι 5988 5994 6οοι 6οο7

6015 6019 6θ26 6051 6057

6ο45 6050 6ο55 6ο6ι 6067

6ο73 |6ο78 6085 6090 6095

6ιοι 6ιο7 6 l l 2 6 ι ι8 6125

6ΐ28 6ΐ54 6ΐ59 6ΐ44 6ΐ49

6ΐ55 6ΐ59 6165 6ι68 6ΐ74

6ι8ο 6t85 6189 6194 6199

8343 97θ| 8557765 8331554 8325 339 8319 119

1.0770529 6*4| 1.0774047522 1.0777773 425 1.0781507316 1.0785249 ι86

1.0788999027 1.0792756850] 1.0796522 588 1.0800296 292 1.0804077934

1.0807867 505 1.0811664997I ι.0815470 401 ι.0819285 7ΐο| 1.0825104915

1.0826934 007I τ .0850770979' 1.0854615 822 1.0858468 527 1.0842529086

.0846197 49θ|

.0850075 73 2

.0855957805

.0857849695

.0861749 399

6203 6208 6213 62ΐ8 6222

1.0865656 9θό| 1.0869572 209! 1.0873495 2<~ 1.0877426 J 6 6 1.0881364804

1.0885311 204 1.0889265 356 1.0895227 254Ι 1.0897196887 1.0901174249'

3717908 3725 903 3733891 3741 870Ι 3749841

3757805 3765 758 3773 704 5781 642 3789571

3797 492 5805 404 3813309 5821 205 5829 092

1 5856972 5844 843 3852 705 5860559 5868 404Ι

5876 242 5884 071 3891 892 5899 704 3907 507

5915 303 5923 089 5930868 5958658 5946 400

3954 152I 5961 898 3969633 3977 3 62 3985 081

8000Ι 7992 7984 7975 7967

1.0905159330! 1.0909152 121 1.0913152615 1.0917160805 1.0921.176 677

1.0925200 227Ι 1.0929251 446 1.0953270 325 1.09373^856 1.0941371 029!

1.0945432857 1.0949502 272 1.0953579324 1.0957665 985 1.0961756 246

3992 791 4000 494 4008 188 4015 874 ^023 55ο|

4031 2ΐ9[ 4038 879I 4046531 4054 17 4ο6ι 8ο<

4069435 4077052 4084 661 4092 261 4099854

|ο.4οο I 0.401 0.402 0.405 0.404

|ο.4θ5 0.406 0-407 0.408 0.400

ρ.410 0.411 P.412 Ο·4 .-3 0.414

[0-4151 ο.4ι6 0.417 ο.4ΐ8 0.419

|ο.42ο I Ρ.421 [ 0.422 0.425 0.424

0.425 [0.426 0.427 0.428

7757|ο429

7959 7951 7942 79341 7925

79171 7909 7901 7892 7885

7875, 7867 7858 7850 7842

7854 7825 7 8 ι 7 7808 7800

77! 771 7775 7766

7749| 7741 7732 7724 7715

77o6l 76 98 7690 768ι 7673

7664' 7656: 7647Ι 7659 7651

7Ó22 7615 7605 7596 7588

0.4501 0.451 0-432 0.433 ρ.454

|ο.435 0.436 0-437 [0.438 0.439

0.440 0.441 0.442 |°·443 |ο,444

0.445 0.446 0.447 |ο.448 0.449

9 9

Page 108: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

o.45o| 0.451 0.452 0.453 0.454

0.45 s 0.456 0.457 0.458 0.459

0.460 0.461 0.462 0.463 0.464

p.465 0.466 0467 0.468 0.469

0.470I 0.471 0.472 0.473 0.474

0.475 0.476 0.4771 0.478 0.479

0,480 0.481 0.482 0.483 0.484

p.485 0.486 0.487I

10.488 10.489

0.490 0.491 0.492 0.493 0.494

0.495 0.496 0.497 0.498 0.499

l n ( l + * 2

0.0922013 615 0.0925758574 0.0929509034 |o.0933264 979 0.0937026 397

0.0940793 272 0.0944565 59o| 0.0948343 336 0.0952126496 0.0955915056

0.0959709001 0.0963508 317 0.0967312 989 10,0971123 002 jo.0974938 343

0.0978758997 0.0982584949 0.0986416 186 0.0990252 693 0.0994094455

10.0997941459 0.1001793 688 0.1005651 131 0.1009513 772 0.1013381 596

p . 1017254 590] 0.1021132 739 p.1025016028 0.1028904445 0.1032797973

0.1036696 599 0,1040600 309 0.1044509088 0.1048422922 10.1052341 797

0.1056265 699 0.1060194613 lo. 1064128 525 0.1068067 421 |o. 1072011 286

0.1075960 108 o. 1079913 870I 0.1083872 560) 0.1087836 162 0.1091804 664

0.1095778 0.1099756 0.1103739 0 . 1 1 0 ^ 2 7 p .111i720 1

050 307 420 375

59

Δχ

744 959 750 46o 755 945 761418 766875

772318 777 746 783 160 788 560 793 945

799316 804 672 810013 815 341 820654

825 952 831237 836507 84t 762 847004

852229J 857 443 862641 867 824 872 994

878 149 883 289 888417I 893 528 898 626

903 710 908 7791 913834 918875 923 902]

928914 933912 938 896 943 865 948 822

953 762 958 69o| 963 602 968 502 973 386

978257 983 113 987955 992 784 3997 5971

5509 5493 5479 5465 5450

5436 5421 5407 5393 5378

5364 5349 5334 5320 5306

5291 5278 5263 5248 5233

5220 5206 5191 5176 5163

5148 5134 5119 5104 5090

5077 5062 5048 5034 5020

5005 4991 4977 496^ 4948

4934 4920 4906 4892 4877

4864 4849 4835 4821 4807

arctg x

0,4228539 261 0.4236852 1571 0.4245158824

10.4253459 258 ).4261753 455

0.4270041 409 0.4278323 1 0.4286598577 0.4294867 780I 0.4303130725

0.4311387407 0.4319637 822 0.4327881 966 0.43361198341

0.4344351423

o.4352576729 0.4360795 747 0.4369008475 0.4377214907 0.4385415041

0.4393608873 0.4401796 398 0.4409977614 0.4418152 515 O.442632L lOol

4434483 364 4442639 304 4450788 916 4458932 197I 4467069 U3

0.4475199752 0.4483324019 0.4491441 941 0.4499553 "516 0.4507658739

0.4515757608 O.4523850 120| o.453T936272 0.4540016059 0.4548089481

o.455615653H 0.4564217211 0.4572271 515 0,4580319440! 0,4588360984

0.4596396 144 0.4604424 918 0.4612447 302 0.4620463 293 0.4628472890

Δΐ ~ Δ 2

8312896 8306 667] "300434 8294 i97| 8287954

8281 709 8275 459 8269203 8262945 8256682

8250415 8244 144 8237868 8231 589 8225 306]

8219018 8212 728] 8206432 8200 134 8193 832

8187525 8181216 8174901 8168585 8162264

8155940 8149 6J2 8T43 281 8136946 8130609

8124 267 8117922J 8111575 8105 223 8098 869

8092 512 8086 152 8079 787 8073 422 8067 051

8060 679 8054 304 8047 925 8041 544 8035 i6o|

8028 774 8022 384 8015 991 8009597 8003 200

6226 6231 6235 6240 6244

6248 6253 6257 6267 6265

[6269 6274 6278 6281 6286

6289 6293 6297 6300 6305

6308 6312 6315 6319 6322

6326 '?-6336 6340

6343 6346 6350 6353 6355

6363 6365 6368 6371

6373 6377 6380 6382 6385

6388 6392 6393 6395 6398

Vi+j

1.0965856 100 1,0969963 537 1.0974078549 1.0978201 128 1.0982331 264

1.0986468951 1.0990614 178 1.0994766937 1.0998927 221 1.1003095 019

,1007270325 1011453 128 ,1015643 422 ,1019841 197 .1024046444

.1028259 156I 1032479 322 .1036706936 ,1040941 989 .1045184471

1.1049434*75 T. .1053691 691 1.1057956412) 1.1062228528 1.1066508031

1.1070794 9X3 j . 1075089 165 1,10793907771 T. 1083699 743 1.1088016053

1.1092339699 1.1096670672 1.1101008 963 1.1105354564 1.1109707 467

1.1114067662 1.1118435 142 1.1122809897 3 .1 J27I91 919 i.1131581 199

1.1135077 73o| 1.1140381 502 1.1144792 506 1.1149210 734 1.1153636 178

] .1158068829 1.1162508 679 1.1166955 718 1.] 171409 938 1.117587133

Δχ

4J07 437 4115012 4122 579 4130 136 4137687

4 M 5 227 4152759 4i6o 284 4167 798 I4175 306

4182803 4190 294 4197 775 4205 247 4212712

4220 166J 4227614 4235053 4242 482 4249 904

4257316 4264 721 4272 n6| 4279503 4286 882

4294 252 4301 612 4308 966 4316 3io| 4323 646

4330973 4338291 4345 60J [4352903 [4360 195

4367 48o| 4374 755 4382022 4389 28o| 4396531

4403 772 4411 004 4418228 4425 444 4432 653

4439 850I 4447039 4454 22o| 4461 393 4468557

7579 7571 7562 7554 7545

7536 7528 7519 7511 7502

7494 7486 74771 7468| 7459

7451 7443 7434 7425 7417

7408 74oo| 7391 7383 7374

7365 7357 7349 7340 7331

7322 7314 7306 7297 7288

7280 7271 7262 7254 7246

7237 7228 7220 7211 7203

7>94 7185 7177 7168 7159I

0.450 0.451 0.452 0.453 0.454

0.455 0.456 0-457 jo.458 0.459

0.460 0.461 0.462 p.463 0.464

0.465 0.466 0.467 0.468 p.469

p.470 0.471 p.472 0-473 p.474

0.475 [0.476 0.477 0.478 0.479

0.480 10,481 I0.482 0.483 0.484

0.485 0.486 0.487 0.488 0.489

0.490 0.491 0.492 0.493 0.494

0.495 0.496 0.497 0.498 0.499

100

Page 109: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

■\n(i+x2)\

0.500I 0.5οι 0.502 0.503 0.504

0.505 j 0.506 0.507 0.508 0.509

0.510 0,511 0.512 0,513 0.514

0.515 0.516 0.517 0.518 0.519

0.520 0.521 0.522 0.523

[0.524

0,525 0.526 0.527 0.528 0.529

0.530 0.531 °.532

0.533! °·534

0.535 0.536 0.537 0.538 0.539

0.540 0.541 0.542 0.543 0.544

0.545 0.546 0.547 0.548 0-549

p . 1115717756 0.1119720 154 0.1123727338 0.1127739293 0.1131756006

0.1135777464 0.1139803 650I [0.11438345^3, 0.1147870157 0.1151910449I

!o.ii55955 4i5 p . 1160005 040I 0.1164059311 0.1I68I18 214 0,1172181 735

p . 1176249 860j 0.1180322575 0.1184399866! 0.1188481 719 0.1192568 121

0.1196659058 0.1200754515 0.1204854479 0.1208958936 0.1213067 872

0.1217181 273 0.1221299 126 0.1225421 417 10,1229548 132 O.1233679257

Δχ

4002 398 4007 i84 40J1955 4016 713 4021 458

4026 186 4030 903 4035 604 4040 292 4044 966

4049 625 4054271 4058903 4063 521 4068 125

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4095457 4099 964 4104457 4108936] 4113401

4117853 4122 291 4126 715 4131 125 4135522

1237814779 1241954684 1246098958 1250247588 1254400559

1258557858 1262719472 1266885387 1271055 589 1275230064

0.1279408 800 0.1283591 782 jo. 1287778 997 p. 1291970 431 o. 1296166 070Ì

0.1300365 902 0.1304569913 0.1308778089 O.I3I2990417 0.1317206883

[4139905 4144 274 4148 630 415297* 4157299

4161 614 4165915 4170202 4174475 4178736

4182982 4187215 4191434 4195639 4199832

4204011 4208 176 4212 328 4216 466 4220591

4794 4779 4764 4751 4736

4723 4709 4694 4681 4667

4652 4639 4625 4611 4597

4583 4569 4595 4542 4528

4513 4500 4486 4472 4458

4445 4431 4417 4403 4390

4376 4362 4349 4334 4321

4308 4294 4280 4267 4254

4239 4226 4212 4199 4186

4172 4158 4145 4131 4118

arctg x

0.4636476 090 0,4644472890! 0.4652463 287 0.4660447 279 0.4668424863

0.4676396038 0.4684360800 0.4692319 147 0.4700271 078 0.4708216 589

0.4710155 679 0.4724088 344 0.4732014 584 0.4739934396 0.4747847778

0.4755754727 0.4763655 242 p.4771549321 0.4779436 961 0.4787318 162

p . 4795192920) 0.4803061 234 0.4810923 103 0,4818778524 p.4826627 495

0.4834470016 0.4842306084 0 . 4 8 5 0 m 697 '0.4857958854 0,4865775 554

Jo.4873585 795 0.4881389575 0,4889186893 p.4896977748 0.4904762 137

0.4912540 o6o| 0.4920311 516 |o.4928076 502 0.4935835018 0.4943587063

[o.495i332 b35 0.4959071 733 0.4966804 355 0.4974530502 0.4982250 172

0.4989963 363 0.4997670075 0.5005370 306 0.5013064056 0.5020751 324

Δ,

7996 800 7990 397[ 7983 992 7977584 7971 175

7964 7^2 7958 347 7951931 7945 5 T-i 7939 °9o|

7932665 7926 240 7919812 7913 382 7906 949

7900515 7894 079 7887 640I 7881 201 7874 758

7868314 7861 869] 7855 42 T 7848 971 7842521

7836068 7829613 7823 157 7816700 7810241

7803 780I 7797318 7790855 7784 389 7777923

7771456 7764 986 7758516 7752045 7745 572

7739 098 7732 62 7726 147 7719 670I 7713 191

7706 712] 7700231 7693 750 7687 268 7680 785

- Δ ,

6401 6404 6406 6408 6411

6414 6415 6418 6420 6423

6425 6426 6429 6432 6433

6435 6438 6439 6441 6443

6444 6446 6449 6450 6451

6454 6455 6456 6458 6460

6461 6462 6464 6466 6466

6468 6470 6470 6472 6473

6475 6475 6476 6478 6479

6480 6481 6481 6483 6483

Vl+x2

1,1180339888 1.1184815 600 1.1189298459 1.1193788 456 1.1198285583

T.1202789 8 1.T207301 " 1.1211819 I.I216345 21 1.1220877 ° '

192 656

862

1,1225417587 1.1229964 381 1.1234518 236 1,1239079 144 1.1243647095

1.1248222 082 1.1252804095 1.1257393 126 1.1261989 167 1.1266592 209

1.1271202 243 1.1275819261 1.1280443 2<>4 1.1285074213 1.1289712 131

1,1294356998 1.1299008 806 1.1303667546 1.1308333 211 T.I313005 79°|

1.1317685 276 1.1322371 b6o] 1.1327064933 1.1331765 088 1.1336472 IM

1.1341186005 1.1345Q06 75 ! 1.1350634344 1.1355368774 1.1360110035

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101

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102

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103

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104

Page 113: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

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105

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- In [ί+χη Δι * 2 arctg x Δχ νΊ+ j Δχ

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106

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107

Page 116: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

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0.885 0.2892117 6ΐ4 ο. 886 ο. 2897080 871 0.8871

0.888, 0,889

0.890) 0.891 0.892 0.893 0.894

ο.89$! 0.896 0.8971 0.8981 0.8991

0.2902044 8ο$ |ο.2907009 405 0,2911974667!

0.2916940 583 10,2921907 146 0.2926874 3$° 0.2931842 ι88| 0.2936810652

ο.294ΐ779 73^| 0,2946749 434 ο.29$ΐ7ΐ9 739 0.29 $6690 644 0.2961662 142

494$ 794 4946631 4947 462

4948 287 4949 103 4949 9 1 2

49$0 7Μ| 49$ι$09

49$2 297 4953 077| 49$3 849 49$4 6ΐ7 49$$ 37$

49$6 127] 49$ 6 872 49 $7609 49$8 34θ| 49$9θ63

4959 78ο| 4960 49°| 4961 192 4961 887 4962577

4963 257 4963 934J 4964 6οο] 4965 262 496$ 9ΐ6]

[4966 $63 4967204 4967838 4968 464 4969 084

4909 698 4970 30$ 497090$ Ι4971 4981 4972 084

842 834 828

820 812 80$ 798 791

784 776 770 763 7$$

748 741 734 727 720

713 706 698 692 685

678 671 664 658 650

644 637 630 623 617

610 603 596 $90 584

ο. 7044940 642 0.7050743294 0.7056540220 0.7062331 425 0.7068116 915

0.7073896693 0.7079670 764 0.7085439134 0.7091201 8ο6 0,7096958 784]

0.7102710075 0.710845$ 682I 0.711419$ 6ιο| 0,7119929863 0.7125658447]

ο . 7 ΐ 3 Ι 3 8 ι 36$ 0.7137098623 0.7142810225 0.7148516 ΐ77| 0.7154216481

0 . 7 1 S 9 9 " 144 0.716$6οο ΐ7θ| ο . 7 ΐ 7 Ι 2 8 3 $63 0.7176961 329 0.7182633 472

0.7188299996 0.7193960907 0,7199616209 0.720$26$ 907Ι 0.721091000$

0,7216548 $09] 0.7222181 422 0.7227808 7$ι 0:7233430499 0.7239046671

0,72446$ 7 272 0.7250262 307I 0.7255861 781 0.726145$ 697| 0.7267044062

0.7272626 88ο 0,7278204 ι$$ 0.728377$ 893 0.7289342 098J 0.729490277$

73004$7 929 7306007 $64 73ΐ ι$$ι 686 7317090299 7322623 4Ó8

5802 6$2 5 796 926 $79120$ $78$ 490 5779 77 s

$774 071 5768370 5762 672 5756978; 57$ΐ29ΐ

$74$6ο7 $739 928 $7342$3 5728584 5722 9ΐ8

5717258 5711 6ο2 $70$9$2 5700304, 5694 663

5689026 $683 393, 5677 766] $672 143 5666 524

5660911 $6$$ 302 5649 698 5644098 5638 504]

$632913 $627 329 5621 748 5616 172 5610 6οι

$6ο$θ3$ $$99 474 $$93 9*6 5588365 5582818

$$77 27$ $571738 5566 205 5560677 $5$$ι$4

$$49 63$ $$44 122 $$38613 $$33 I09Ì $$27610]

727 723 7ι8 713 709

704 700 696 690 686

68ι 677 672 668 663

6$8 6$3 649 644 639

63$ 630 62$ 621 6ι6

6ιι 6ο7 6ο ι $97 $92

$87 582 $78 $73 568

$63 $$9 $$4 $49 $4$

$40 $3$ $30 $2$ $21

$ι6 $ιι $ο6 $οι 497

1.3124404748 r.3130883 443 1.31373665$$ ι .3ΐ438$4 077 1.31 $034600

1.3156842326 ι.3163343 ο4ο| 1.3169848 139 ι.3Χ763576ι$ 1.3182871 463

1.318938967$ ι . 3 ΐ 9 $ 9 1 2 246 1.3202439 ι&9 1.3208970437 1,3215506044

, 322204$ 984 ,322859025ο ,3235138836! .324169173$ .3248248941

ι . 3254810 448 1.3261376 2481 1.3267946337 ι.3274$20 707 1.3281099 3$2

1.3287682266 1.3294269442] 1.3300860874 ι.33074$6$$6| ι .33Μο$6 482

.3320660644 3327269038

.333388165$ ,3340498491 3347119 5401

1-3353744 793 1.3360374246] 1.3367007893 ΐ·337364$ 7261 1.3380287 74ο|

1.3386933 928 ι.3393$84 28$ 1.3400238604 1.3406897479 ι . 34 ΐ3$ 6 °303

1,3420227271 1.3426896376 1-3433573 6ΐ2 r.3440252 9741 ι . 3446936 4$4

6478 695 6483 112| 6487 $22 649Ι 926 6496 323

6500 714 6$ο$ 099 6$09 476 6513848 6518212

6522 571 6526923 6531 26δ 6$3$6θ7| 6$39 94ο|

6$44 266 6548586 6$ 52899] 6557206 6$6ι 507

6565 8οο| 6570089 6$ 74 37ο] 6$ 78 64$ 6582914

6587176 6591432 6$9$ 682 6599926 66ο4 ι62

66οδ 394 6612617, 6616836 6621 049] 6625 25

6629 4$3 6633 647| 6637833 6642 014 6646 ι88|

|66$0 3$7| 66$4$ΐ9 66$8 67$ 6662 824 6666 968

6671 ιο$ 667$ 236] 6679 362 ]66δ3 4δο| 6687 $93

442θ| 4413 4407 44οο| 4394

4388 438ι 437$ 436δ| 4361

4355 434δι 4342] 4336 4330|

4323 43171 43ΐο| 4304 4297

4291 42δ$ 4278 4272 426$

42591 4253 4247 424ο, 4234

4227 4221 42ΐ6 4209] 4202

4X971 4190 4ιδ3 4ΐ77| 4171

4ΐ6$ 4ΐ$9 4153 4146 4ΐ4ο

4134 4ΐ2δ 4122 4n6j 4110

ρ.δ$ο 0.851 0.852. 0.853 ο.δ54

0.855 0.856 ο.δ57 ο.δ5δ ο.δ$9

ο.86ο ο.δ6ι 0.δ62 ρ.863 0.864

o.8ò$ io.866 0.867 0.668 0.869

0.870 0,871 |ο.δ72 ο,δ73 ο.δ74

ο.δ75 0.676 ο.δ77 ο.δ7δ jo.879

ο.δδο ο.δδι |θ.δδ2 ο.δδ3 0.884

|ο.8δ5 0.886 0.887 ο.8δ8 Ι0.889

0.890 0.891 0.892 0.893 ο.δ94

ρ.δ95 0.696 ρ.δ97 0.898 0.899

108

Page 117: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

0 . 9 0 0 I 0 . 9 0 1 1 0 . 9 0 2 1 0 . 9 0 3 [ 0 . 9 0 4

0 . 9 0 5 1o.ço6

0 . 9 0 7 0 . 9 0 8 0 . 9 0 9

0 . 9 1 0 0 . 9 1 1 0 . 9 1 2 0 . 9 1 3 0 . 9 1 4

0 . 9 1 5 l o . 9 1 6

0 . 9 1 7 0 , 9 1 8 0 . 9 1 9

0 . 9 2 0 0 . 9 2 1 0 . 9 2 2 0 . 9 2 3 0 . 9 2 4

0 . 9 2 5 0 . 9 2 6 0 . 9 2 7 0 . 9 2 8 0 · 929

0 . 9 3 0 0 . 9 3 1 0 . 9 3 2 0 . 9 3 3 0 . 9 3 4

0 . 9 3 s O.Q3t> 0 . 9 3 7 0 . 9 3 8 0 . 9 3 9

0 . 9 4 0 0 . 9 4 1 0 . 9 4 2 0 . 9 4 3 0 . 9 4 4

0 . 9 4 5 0 . 9 4 6 0 . 9 4 7 0 . 9 4 8 0 . 9 4 9

- l n ( l + * 2 )

0 . 2 9 6 6 6 3 4 2 2 6 0 . 2 9 7 1 6 0 6 891 0 . 2 9 7 6 5 8 0 129 0 . 2 9 8 1 5 5 3 9 3 3 0 . 2 9 8 6 5 2 8 2 9 8

0 . 2 9 9 1 5 0 3 216 0 . 2 9 9 6 4 7 8 6 8 1 0 . 3 0 0 1 4 5 4 6 8 7 0 . 3 0 0 6 4 3 1 227 0 . 3 0 1 1 4 0 8 293

0 . 3 0 1 6 3 8 5 8 8 1 0 . 3 0 2 1 3 6 3 983 0 . 3 0 2 6 3 4 2 593 0 . 3 0 3 1 3 2 1 704 0 . 3 0 3 6 3 0 1 310

0 . 3 0 4 1 2 8 1 405 0 . 3 0 4 6 2 6 1 982 0 . 3 0 5 1 2 4 3 036 0 , 3 0 5 6 2 2 4 558 0 . 3 0 6 1 2 0 6 544

0 . 3 0 6 6 1 8 8 9 8 7 0 . 3 0 7 1 1 7 1 880 0 .3076155 217 0 . 3 0 8 1 1 3 8 9 9 3 0 . 3 0 8 6 1 2 3 200

0 . 3 0 9 1 1 0 7 8 3 3 0 , 3 0 9 6 0 9 2 885 0 . 5 1 0 1 0 7 8 350 0 . 3 1 0 6 0 6 4 2 2 2 0 . 3 1 1 1 0 5 0 4 9 4

0 . 3 1 1 6 0 3 7 162 0 . 3 1 2 1 0 2 4 218 0 . 3 1 2 6 0 1 1 656 0.. 5 1 5 0 9 9 9 4 7 0 0 . 3 1 5 5 9 8 7 6 5 5

0 . 3 1 4 0 9 7 6 2 0 5 0 .3145965 110 0 . 3 1 5 0 9 5 4 5 6 9 0 . 5 1 5 5 9 4 3 9 7 3 0 . 5 1 6 0 9 5 3 918

0 . 3 1 6 5 9 2 4 197 0 . 3 1 7 0 9 1 4 8 0 4 0 . 5 1 7 5 9 0 5 7 3 3 0 . 5 1 8 0 8 9 6 978 0 . 5 1 8 5 8 8 8 5 5 4

0 . 3 1 9 0 8 8 0 3 9 3 0 . 5 1 9 5 8 7 2 5 5 2 0 .5200865 005 0 . 5 2 0 5 8 5 7 7 4 1 0 . 5 2 1 0 8 5 0 760

Ai

4972 665 4973 238 4973 804 4974 3°5 4974 9 1 8

4975 465 4976 006 4976 540 4977 066 4977 588

4978 102 4978 610 4 9 7 9 1 1 1 4979 606 4 9 8 0 0 9 5

4 9 8 0 5 7 7 4981 054 4981 522 4981 986 4982 445

4982 895 4 9 8 3 337 4985 776 4984 207 4 9 8 4 6 5 5

4 9 8 5 052 4985 465 4985 872 4986 272 4986 668

4 9 8 7 0 5 6 4 9 8 7 4 5 8 4 9 8 7 8 1 4 4988 185 4 9 8 8 5 4 8

4988 907 4 9 8 9 2 5 9 4989 604 4989 945 4 9 9 0 2 7 9

4990 607 4990 929 4991 245 4991 5 5 6

4 9 9 1 8 5 9

4 9 9 2 1 5 9 4 9 9 2 4 5 1 4992 738 4 9 9 3 0 1 9 4993 294

Δ 2

577 570 5 6 4 557 550

544 538 530 524 518

Su 505 498 492 486

480 472 466 461 454

447 441 435 428 425

416 410 404 398 392

385 379 373 567 361

356 349 343 338 331

325 319 313 507 502

206 289 284 278 272

arctg x

0 . 7 3 2 8 1 5 1 0 1 8 0 . 7 3 3 3 6 7 5 155 0 . 7 3 3 9 1 8 9 7 5 9 0 . 7 3 4 4 7 0 0 9 0 1 0 . 7 3 5 0 2 0 6 502

0 . 7 3 5 5 7 0 6 7 4 9 0 . 7 3 6 1 2 0 1 465 0 . 7 3 6 6 6 9 0 716 0 . 7 3 7 2 1 7 4 5 0 6 0 . 7 5 7 7 6 5 2 8 4 1

0 . 7 3 8 3 1 2 5 7 2 5 0 . 7 5 8 8 5 9 5 1 6 5 0 . 7 3 9 4 0 5 5 160 0 . 7 5 9 9 5 1 1 721 0 . 7 4 0 4 9 6 2 851

0 . 7 4 1 0 4 0 8 554 0 . 7 4 1 5 8 4 8 8 5 5 0 . 7 4 2 1 2 8 3 700 0 . 7 4 2 6 7 1 3 153 0 . 7 4 3 2 1 5 7 199

0 . 7 4 5 7 5 5 5 8 4 3 0 . 7 4 4 2 9 6 9 090 0 . 7 4 4 8 5 7 6 9 4 4 0 . 7 4 5 3 7 7 9 4 1 1 0 . 7 4 5 9 1 7 6 4 9 °

0 . 7 4 6 4 5 6 8 2 0 5 0 . 7 4 6 9 9 5 4 5 3 7 0 . 7 4 7 5 3 3 5 5 0 4 0 . 7 4 8 0 7 1 1 108 0 . 7 4 8 6 0 8 1 555

0 . 7 4 9 1 4 4 6 2 4 6 0 .7496805 791 0 . 7 5 0 2 1 5 9 9 9 2 0 . 7 5 0 7 5 0 8 8 5 5 0 . 7 5 1 2 8 5 2 5 8 5

0 . 7 5 1 8 1 9 0 5 8 6 0 . 7 5 2 5 5 2 3 4 6 4 0 . 7 5 2 8 8 5 1 025 0 . 7 5 3 4 1 7 3 2 6 8 0 . 7 5 3 9 4 9 0 2 0 5

0 . 7 5 4 4 8 0 1 858 0 . 7 5 5 0 1 0 8 175 0 . 7 5 5 5 4 0 9 2 1 5 0 . 7 5 6 0 7 0 4 9 6 4 0 . 7 5 6 5 9 9 5 4 5 2

0 . 7 5 7 1 2 8 0 6 2 0 0 . 7 5 7 6 5 6 0 5 5 4 0 .7581855 179 0 . 7 5 8 7 1 0 4 560 0 . 7 5 9 2 5 6 8 6 8 1

*1

5 5 2 2 1 1 5 5516 626 5 5 1 1 1 4 2 5505 6 6 i 5500 187

5 4 9 4 7 1 6 548.9251 5485 790 I5478535 5472 884

5 4 6 7 4 5 8 5 4 6 1 9 9 7 5 4 5 6 5 6 1 5 4 5 1 1 3 0 5445 703

5 4 4 0 2 8 1 5434 865 5429 453 5 4 2 4 0 4 6 5 4 1 8 6 4 4

5 4 1 5 2 4 7 5 4 0 7 8 5 4 5 4 0 2 4 6 7 5397085 5391 707

5 5 8 6 5 5 4 5 3 8 0 9 6 7 5 3 7 5 6 0 4 5370245 5 3 6 4 8 9 3

5359 545 5 3 5 4 - 0 1 5 3 4 8 8 6 3 5 3 4 3 5 3 0 5558201I

5 3 5 2 8 7 8 5327 559 5 3 2 2 2 4 5 5 5 1 6 9 5 7 5 5 1 1 6 3 3

5306355 5501 040 5 2 9 5 7 5 1 5 2 9 0 4 6 8 5285 188

52799141 5274645! 5 2 6 9 5 8 1 5264 121 5 2 5 8 8 6 8

" Δ 2

5492 5487 5482 5477 5472

5468 5463 5458 5453 5448

5443 5458 5433 5429 5424

5419 5414 5 4 0 9

5404 5399

5395 5390 5385 538o 5375

5370 53 6 5 5561 5355 5350

5346 5341 5336 5331 5326

5321 5516 5512 5506 5501

5296 5292 5286 5282 5277

5272 5267 5262 5257 5253

Vl+x2

1 . 3 4 5 5 6 2 4 0 4 7 1.3460315 747 1 .3467011 547 1 .5473711 441 1.3480415 424

1 . 3 4 8 7 1 2 5 4 8 9 1 . 5 4 9 3 8 3 5 6 5 0 1 .5500551 841 1 .3507272 115 1 . 5 5 1 5 9 9 6 4 4 8

1 . 5 5 2 0 7 2 4 8 5 5 1 . 3 5 2 7 4 5 7 2 6 5 1 . 3 5 3 4 1 9 3 7 3 3 1 . 5 5 4 0 9 3 4 2 3 7 1 .3547678 768

i . 3 5 5 4 4 2 7 5 2 1 1 . 3 5 6 1 1 7 9 8 9 0 1 . 3 5 6 7 9 5 6 4 6 8 1 . 3 5 7 4 6 9 7 0 5 0 1 ,3581461 630

1.5 5 882 50 201 1 . 5 5 9 5 0 0 2 7 5 8 1 .5601779 295 1 .3608559 806 1 ,3615544285

1.5622132 726 1 .3628925 125 1.5555721 470 1 .5642521 761 1 .3649525991

1.5656154 155 1 . 5 6 6 2 9 4 6 2 4 2 1.5669762 251 1.3676582 175 1 .3685406009

1 .5690253745 1.3697065 379 1 . 5 7 0 5 9 0 0 9 0 4 1.3 710740 316 1.5717585 606

1 .5724450771 1 .5751281 805 1.5758156 700 1 .3744995453 1 . 3 7 5 1 8 5 8 0 5 6

1 .3758724505 1 . 5 7 6 5 5 9 4 7 9 3 1 .3772468 914 1 -5779546864 1 , 5 7 8 6 2 2 8 6 5 6

Δχ

6691 700 6695 8oo 6699 894 6705 983 6708 065

6712 141 6716 211 6720 274 6724 333 6728 585

6 7 3 2 4 3 0 6736 470 6740 504 6 7 4 4 5 3 1 6 7 4 8 5 5 3

6752 569 6 7 5 6 5 7 8 6760 582 6 7 6 4 5 8 0 6768 571

6772 557 6 7 7 6 5 5 7 6 7 8 0 5 1 1 6 7 8 4 4 7 9 6788 441

6792 597 6796 547 6 8 0 0 2 9 1 6804 250 6808 162

6 8 1 2 0 8 9 6 8 1 6 0 0 9 6819 924 6 8 2 5 8 5 4 6827 736

6 8 5 1 6 5 4 6855 525 6 8 5 9 4 1 2 6845 290 6 8 4 7 1 6 5

6851 054I 6 8 5 4 8 9 5 6 8 5 8 7 5 3 6862 6051 6866 449I

6870 288 6874 121 6 8 7 7 9 5 0 6881 772 6885 588

Δ 2

4104 4097 4091 4085 4079

4075 4067 4061 4055 4049

4043 4057 4051 4025 I019

4015 4007 4001 3995 3989

^ 8 5 3977 3971 3965 3959

3953 3947 3941 3935 3929

3923 3917 3912 3906 5900

3894 388Q 3885 3877 5872

5865 3859 3854 3848 3842

5856 3831 3825 3819 3813

1

X

0,900 0,901 0,902 0,903 0,904]

0,905 0,906 0,907 0,908 P>9°9

0,910 0,911 0,912 P>9i3 P,9M

0,915 0,916 0,917 0,918 0,919

0,920 0,921 0,922 0,923 0,924!

0,925 0,9261 0,927 0,928 0,929

0,930 o,931 0,932 0,933 o,934

o,935 o,936 0,937 o,938 o,939

o,94o 0,941 0,942 o,943 o,944

o,945 0,9461 o,9^7 0,9^81 0,9/9

109

Page 118: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

X

0.950 0.951 0.952 0.953 0,954

0.955 o,956 0.957 o,95^ 0.959

0.960 0,961 o. 962 0,963 0.964

0.965 0.966 0.967 0.968 0.969

0.970 0.971 0-972 0.973 0.974

0.975 0 .97 6

p . 9 7 7 0.978 0.979

0.980 0.981 0.982 0.983 0.984

0.985 0.986 0,987 0.988 0.989

0,99° 0.991 0 ·99 2

0.993 ο,994

ο,995 0.996 0.997 0,998 0.999 1 ,000

- 1 η ( 1 + ^ )

0,3215844054 0.3220837617 0.3225831 444 0.3230825 529 0.3235819 866

0,3^40814449 0.3245809273 0.3250804 332

ο, 3255799 620 0.3260795 ΐ3 2

0.3265790862 0.3270786 8ο4 0.3275782952 0.3280779 3 0 2

0.3285775848

0.3290772 583 0.3295769503 0.3300766 6οι 0.3305763873 0.3310761 3Χ3

p.33T5758 9i5 0.3320756674 0.3325754585 0.3330752641 0.3335750838

0.3340749 !70 0.3345747632 0.3350746218 0.3355744 924 0.3360743 743

0.3365742670 0.3370741701 0.3375740829 0.3380740050 0.3385739357

0.3390738747 0.3395738214 0.3400737752 0.3405737356 0,3410737021

0.3415736742 0.3420736 514 0.3425736332 0.3430736 19° ο.3435736ο83!

0.3440736007 0.3445735 956 0.3450735925 0-3455735 910 0.3460735 9°4| 0.3465735903

Δχ

4993 S63 4993 827 4994 085 4994 337 4994583

4994 824 4995 059 4995 288 4995 512 4995 73°

4995 942 4996 148 4996 350 4996546 4996 735

4996 920 4997098 4997 272 4997440 4997 602

4997 759 4997 9 1 1

4998056 4998 197 4998 332

4998 462 4998586 4998 706 4998 819 4998 927

4999031 4999 !28 4999 221 4999 307 4999 390

4999 467 4999 538

4999 6ο4 4999 665 4999 721

4999 772 4999 8ι8 4999 858 4999 893 4999 924

4999 949 4999 969 4999 985 4999 994 4999 999 4999 999

Δ2

266 261 255 249 243

238 2 3 2

226 2 2 1

215

209 204 199 193 ι 8 7

ΐ82 176 171 ι65 159

154 149 143 138 132

127 1 2 2 117 1 1 0 ιο6

1 0 1

95 90 85 8ο

74 68 63 58 53

48 43 37

11 2 2 ι8 13 7 2 ο

|

arctg χ

1 0.7597627 549Ι 0. 7602881 167 0.7608129 540 0.7613372674 0.7618610574

0.7623843244 0.7629070690 0.7634292916 0.7639509 928 0.7644721 73°

0.7649928327 0.7655129725 0.7660325 928 0.7665516941 0,7670702 77°

0.7675883418 0.7681058892 0.7686229 197 0.7691394336 0.7696554 3 ^

0.7701709 140 0.7706858815 0.7712003 345 0.7717142735 0.7722276990

0.7727406 116 0.773253° ι χ 6 0.7737648996 0.7742762 762 0.7747871418I

0.7752974968 0,7758073419 0.7763166774 0.7768255 040 0.7773338 221

0.7778416322 0.7783489347 0,7788557 303 0.7793620194 0.7798678025

ο. 780373° 8οι 0.7808778526 0.7813821 207 0.7818858848 0.7823891454

0,7828919030 0.7833941581 Ο.7838959 H 1

Ο.7843971627 Ο.7848979Ι33 Ο.7853981634

Δ ,

5253 6ι8 5248 373 5243 154 5237900 5232 670

5227 446 ς2·22 226 5217ΟΙ2 5211 8θ2 52ο6 597

5201 398 5196 203 5191 015 5185 829 5180648

5175 474 5170505 5ΐ65 159 5159 979 5154825

5149675 5144 55° 5139 39° 5134255 5129 126

5124 000 5118880 5113 766 5108656 5103 550

5098 451 5093 355 5ο88 266 5083 ι8ι 5078 ιοι

5073 °25 5067956 5062 891 5057831 5052 776

5047 725 5042 681 5037641 5032 6ο6 5027576

5022551 5017530 5012 5ΐ6 5007 5ο6 5002 5οι 4997 501

- Α 2

5247 5242 5237 5232 5227

Ç222 5217 5212 5207 5202

5197 5192 5ΐ'87 5ΐ82 5177

5172 5167 5ΐ63 5157 5152

5147 5ΐ42 5137 5152 5127

$123 5117 5112 5ΐο8 5102

5098 5092 5087 5082 5078

5072 5°67 5062 5057 5053

5047 5042 5037 5032 5027

5023 5017 5012 5007 5002 49981

Vi+x*

ι .3795ΐ Ι4 224 1.3800005 623 1.3806896827 1.3815795851 1,3820694628

1.3827599213 1.5854507581 1.3841419725 1.3848355640 1.5855255 521

ι.3862178 761 ι.3869105 955 1.3876056898 1.3882971 584 1.3889910007

1.5896852 ι62 1.3905798042 ι . 3910747 643 1.3917700960 1.3924657985

1.3931618714 1.3958583 142 1.3945551262 1.3952523009 1.3959498558

ι . 3966477 723 1.3973460559 1.3980447060 1.3987437221 1,3994431035

1,4001428499 1.4008429605 1.4015434 349 1,4022442 726 1,4029454729

1.4036470554 1.4043489595 1.4050512 446 1.4057538905 1.4064568959

1.4071602 6 io 1.4078639849 1.4085680672 1.4092725074 1.4099773048

1.4106824590 ι .4ΐ 15879 694 ι.4120958 354 1.4128000566 1.413^066325 1.4142135 624j

Α2

6889 399 6893 204 6897004 6900 797 6904585

6908 368 6912 144 6915 915 6919 681 6923440

6927 194 6950 945 6954 686 6958 425 6942 155

6945 880 6949 601 69533χ7 6957025 6960 729

6964 428 6968 120 6 9/ ΐ 8θ7 6975 489 6979 ι65

6982 836 6986 501 6990 ι6ι 6993 8ΐ4 6997 464

7001 ιο6 7004 744 7008377 7012 003 7015 625

7019 24ι 7022851 7026457 7030056 7053651

7037259 7040 823 7044 402 7047 974 705Μ42

7055 104 7058 66ο 7062 212 7065 759 7069 299 7072 834

Δ2

3808 3δθ2 5796 5790 5785

5779 5775 5768 3762 3756

3751 3746 3740 5755 5729

5723 57ΐ8 5712 57θ6 3701

3695 5690 5685 5679 3673

^c8 3662 3657 3651 5646

3640 3635 3630 3624 5619

3613 3608 5603 5597 5591

3586 3581 3575 3570 3565

3559Ι 5554 5549 5543 5558 3533

X

ο,95ο ο,951 ο,952 ο,953 ο,954

ο,955 0,956 ο,957 0,958 ο,959

0,960 0,961 0,962 0,965 0,964

0,965 0,966 0,967 0,968 0,969

0,970 ο,97ΐ 0,972 ο,973 ο,974

ο,975 0,976 ο,977 0,978 ο,979

0,980 0,981 0,982 0,983 0,984

0,985 0,986 0,987 0,988 0,989

ο,99θ ο,99ΐ 0,992 ο,993 ο,994

ο,995 0,996 ο,997 0,998 ο,999 1,000

110

Page 119: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

Table for computing the coefficient V*x (1—x) for quadratic interpolation

0,00 0,01 0,02 0,03 0,04

0,05 0,06 0,07 p,o8 o,o9 0,10 Ο,ΙΙ 0,12 o,i3 0,14

o,i5 o,i6 0,17 Q,i8 o,i9

0,20 0,2I 0,22 0,23 0,24

0,25 0,26 0,27 0,28 0,29

0,30 0,31 0,32 °,33 °,34

°,35 0,36 °,37 0,38 °,39

0,40 0,41 0,42 o,43 o,44 o,45 0,46 o,47 0,48 o,49

0

0, 0000 0049 0098 0145 0192

0237 0282 °*2Ä 0368 0409

0450 0489 0528 0565 0602

0637 0672 0705 0738 0769

0800 0829 0858 0885 0912

0937 0962 0985 1008 1029

T050 1069 1088 1105 1122

1137 1152 1165 1178 1189

1200 I2O9 I218 1225 I232

I237 1242 1245 I248 1249

10

1

0, 0005 0054 0103 0150 0197

0242 0286 0330 0372 0414

0454 0493 0532 0569 0606

0641 0675 0709 0741 0773

0803 0832 0861 0888 0915

0940 0964 0988 IOIO 1032

1052 I07I 1090 1T07 1124

II39 "53 1167 1179 1191

1201 1210 1219 1226 1233

1238 1242 1246 1248 1250

9

2

0, 0010 0059 0108 0155 0201

0246 0291 0334 0376 0418

0458 0497 0536 0573 0609

0644 0679 0712 0744 0776

0806 0835 0864 0891 0917

0942 0967 0990 1012 1034

1054 1073 1092 1109 1125

1140 "55 1168 1180 1192

1202 1211 1220 1227 1233

1238 1243 1246 1248 1250

8

3

0, 0015 0064 0112 0160 0206

0251 0295 0338 0381 0422

0462 0501 0539 0577 0613

0648 0682 0715 0748 0779 II. 0809 0838 0866 0894 0920

094* 0969 0992 10T5 1036

1056 1075 1093 m i 1127

1142 1156 1169 1182 1193

1203 1212 I220 I228 1234

1239 1243 1246 12491 1250

7

4

0, 0020 0069 0117 0164 0210

02s 5 0300 0343 0385 0426

0466 0505 0*43 0580 0616

0651 0686 0719 0751 0782

0812 0841 0869 0896 0922

0947 0972* 0995 1017 1038

1058 1077 1095 1112 1128

1143 1158 1171 1183 1194

1204 1213 1221 I228 1234

I239 I244 I247 I249 I250

6

5

0, ! 0025 0074 0122 0169 0215

0260 0304 0347 0389 0430

0470 0509 0547 0584 0620

0655 0689 0722 0754 0785

0815 0844 0872 0899 0925

0950 0974 0997 1019 1040

1060 1079 1097 1114 1130

"45 " 5 9 1172 " 8 4 "95

1205 1214 1222 1229 1235

1240 1244 1247 1249 1250

,5

6

0, 0030 0079 0127 0174 0219

0264 0308 0351 0393 0434

0474 0513 0551 0588 0623

0658 0692 0725 0757 0788

0818 0847 0875 0902 0927

0952 0976 0999 1021 1042

1062 1081 1099 1116 1131

1146 IT 60 "73 1185 1196

1206 1215 1223 1230 1235

1240 1244 1247 1249 1250

4

7 o, ooj5 0084 0131 0178 0224

0269 0313 0355 0397 0438

0478 0517 0554 0591 0627

0662 0696 0728 0760 0791

0821 0850 0877 0904 0930

0955 0979 1001 1023 1044

1064 1083 1100 1117 "33

1148 1162 1174 1186 " 9 7

1207 1216 1223 1230 1236

1241 1245 1247 1249 1250

3

8

0, 0040 0088 0136 0183 0228

0273 0317 0360 0401 0442

0482 0520 0558 0595 0630

0665 0699 0732 0763 0794

0824 0852 0880 0907 0932

0957 0981 1004 1025 1046

1066 1084 1102 1119 " 3 4

" 4 9 1163 1176 1187 1198

1208 1216 1224 1231 1236

1241 1245 1248 1249 1250

2

1 9

0, 0045 0093 0141 0187 0233

0276 0321 0364 0405 0446

0486 0524 0562 0598 0634

0669 0702 0735 0766 0797

0827 0855 0883 0909 0935

0960 0983 1006 1027 1048

1068 1086 1104 1120 II36 lll\ TI 64 " 7 7 1188 " 9 9

1209 I2T7 1225 I23I 1237

1242 1245 1248 1249 1250

1

10

0, 0049 0098 0145 0192 0237

0282 °3?5 0368 0409 0450

0489 0528 0565 0602 0637

0672 0705 0738 0769 0800

0829 0858 0885 0912 0937

0962 0985 1008 1029 1050

1069 1088 1105 1122 " 3 7

1152 1165 1178 1189 1200

1209 1218 1225 1232 1237

1242 1245 1248 T249 1250

0

o,99 0,98 o,97 0,96 o,95 o,94 o,93 0,92 0,91 0,90

0,89 0,88 0,87 0,86 0,85

0,84 0,83 0,82 0,81 0,80

o,79 0,78 o,77 0,76 o,75 o,74 o,73 0,72 0,71 °f 7° 0,69 0,68 0,67 0,66 0,65

0,64 0,63 0,621 0,61 0,60

o,59 0,58 o,57 0,56 o,55 o,54 o,53 0,52 0,51 0,50

1n

1

2

3

4

5

6

7

8

9

10

11

12

l·3 14

l·5 16

l·7 18

l·9 20

21

22

23

24

25

In 10n

2,302585092994

4,605 170185988

6,907 755 278 98*

9,210340371976

11,512925464970

13,815510557964

16,118095650958

18,420680743952 1

20,723 265 836946 I

23,025850929940 I

25,328436022934 I

27,631 021 115 928 I

29,933606208922 I

32,236191301916 1

34,538776 394910

36,841361487904

39,143946580898

41,44653! 673892

43,749116766886 I

46,051701859880 I

48,354286952874

50,656872045868

52,959457138862

55,262042231856 I

57,564627324850

hi ( - 1) - πί = 3,1415926536 i In i = -g * = 1,5707963268 i

Page 120: Ten-Decimal Tables of the Logarithms of Complex Numbers and for the Transformation from Cartesian to Polar Coordinates. Tables of the Functions

VOLUMES IN THE MATHEMATICAL TABLES SERIES

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Ev(x) = |e-*« u-vdu

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Vol. 22. ZHURINA and KAEMAZINA—Tables of the Legendre Functions *_«,+„(*), Vol. 1

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