61236462 Engineering Drawing Chapter1 Tangents

8/19/2019 61236462 Engineering Drawing Chapter1 Tangents

1/21

GEOMETRICAL DRAWING


2/21

CHAPTER 1 : GEOMETRY – TANGENTS

LOCAL PUBLICATIONS (001427383-A

1. Construct a line tangent to given circle at oint P.

P


3/21



!. Construct a line "ro# oint $ an% tangent to given circle.

Q


4/21



&. Construct a line tangent to t'o circles touc(ing e)ternall*.

RB - RA

R 2 4

R 3 6

A

B

)

$

P


5/21



+. Construct a line tangent to t'o circles touc(ing internall*.

RA + RB)

R 2 4

R 3 6

A

B

P

$


6/21



,. Construct a circle 'it( t(e ra%ius +, ## an% tangent to line at oint P.

P

O


7/21



-. Construct a circle 'it( t(e ra%ius !, ## an% tangent to line A an% C.

$

CP

O


8/21



/. Construct a circle 'it( t(e ra%ius !/ ## tangent at oint R an% touc(ing e)ternall*.

R

O

CHAPTER 1 GEOMETRY TANGENTS


9/21



0. Construct a circle 'it( t(e ra%ius !, ## tangent at oint S an% touc(ing internall*.

SO



10/21



. Construct a circle 'it( t(e ra%ius !/ ## touc(ing e)ternall* circle A an% circle .

R 2 5 R 1 4 A

B

P $

O



11/21



12. Construct a circle 'it( t(e ra%ius /2 ## touc(ing internall* circle A an% circle .

R 2 0

R 1 5

B

A

P

$

O

CHAPTER 1 : GEOMETRY TANGENTS


12/21



11. Construct a circle t(roug( oint R an% tangent at S.

S

R

O



13/21



1!. Construct a circle tangent to circle P an% line at oint $.

P

Q

)

O

T



14/21



1&. 3igure 1 s(o's a te#late AC4. Points A5 5 C an% 4 are tangent oints. A an% C4 are tangent lines. 4ra'

t(e te#late in "ull si6e.

C

*

)

O1

O!

FIGURE 1

R 3 5

J 3 5

R 2 0

J 2 0

90

1 0

AB

C

D

A

4



15/21



1+. 3igure ! s(o's a te#late AC4. Points A5 5 C an% 4 are tangent oints. A is a tangent lines. 4ra' t(e

te#late in "ull si6e.

80

R 3 0

R 1 8

FIGURE 2

A

C

4

R 4 5

4

C

A

)

O1

O!

O&



16/21



1,. 3igure & s(o's a te#late AC4E3. Points A5 5 C5 45 E an% 3 are tangent oints. 4ra' t(e te#late in "ull

si6e.

A

FIGURE 3

7 0

R26

R 2 2

80

R 8

0 A

C

4

E

3

R 3 0

R 2 6

C

E

3

4

O1

O!

O&

O+

O,

)



17/21



1-. 3igure + s(o's a te#late AC4. Points 5 C5 an% 4 are tangent oints. A an% A4 are tangent lines. 4ra'

t(e te#late in "ull si6e.

6 0 °

72

R x

R 2 5

7 5

FIGURE 4

A

B

C

D

B

A

D

C

O2

x

O1 O



18/21



1/. 3igure , s(o's a te#late AC4E3. Points 5 C5 45 an% E are tangent oints. O is t(e center o" ellise. E3 is a

tangent line. 4ra' t(e te#late in "ull si6e.

C

B

D

E

F

A

O2

OO1

O

Quada!" #$ a! %&&'()%

*a# ax') 120 ,,

*'!# ax') 100 ,,

R 2 0

R x

6 0

5 5

70

R 8 5

R 2 5

FIGURE 5

F

A

B

C

D

E



19/21



10. 3igure - s(o's a te#late. Points 5 C5 45 E5 3 an% G are tangent oints. O is t(e center o" ellise an% E3 is

tangent line. T(e ne' oints 4 an% $ are as s(o'n. 4ra' t(e te#late in "ull si6e.

Q R 2 0

C

BR x

R 4 5 7 0

A

Quada!" #$ a! %&&'()%*a# ax')- 110 ,,

*'!# ax') 80 ,,

O

F

R 2 5

G

E

D

R 3 0

Q

D

C

A

G

3

E

O

FIGURE 6

O!O&

O+

O,

O +



20/21


1. 3igure / s(o's a te#late AC4E3G. Points A5 5 C5 4 an% E are tangent oints. 3G is a 7uarter ellise an%

C4 is a tangent line. 4ra' t(e te#late in "ull si6e.

FIGURE 7

R 2 5

R 7 0

R 3 0

R x

R 1 5

55

8065

7 5

6 5

5

B

C

D

E

F

G

A

Qua"% %&&'()%

90

A

O

O2

O1

G

F

E

D

B

C

x

CHAPTER 1 : GEOMETRY – TANGENTS8


21/21


FIGURE 8

!2. 3igure 0 s(o's a te#late AC4E3G. C5 45 E

an% G are tangent oints. C4 is a tangent

nline. A is a verte) o" t(e (al" ara9ola A.

4ra' t(e te#late in "ull si6e using a

geo#etrical #et(o%s.

7 0

90

R 6 0

30 80

2

5

R 3 0

7 0

R 2 5

R 2 0

R x

.a&$ (aa/#&a

A

G

B

C

D

E

F

A

O

1

2

3

4

1

2

3

4

G

B

C

D

E

F

x

O1

Documents

61236462 Engineering Drawing Chapter1 Tangents