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CivilCAD 2008 Ref Man Rev2

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8/12/2019 CivilCAD 2008 Ref Man Rev2

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!"#"$"%&" '(%)(* #+$   !"#"$!%& ())* ,"- ./010+% 2"3$)($4 5667 8 !"9: 5:6

%$$ +",-./ +0/0+#01 .2 3"#45 &0/",5

6667/"#4510/",57829 

!2:;+",-. ())< ;  

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!"#$%&' () *&+&'#, ---------------------------------------------------------------------------------------------------------------- . 

GENERAL !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! " #$%&'() *(+'$,(-*(. / &,$0'() &'.1 %2.,3%#4 5%2.,#*60 7 ,$ 8$'363%#4 58$'363%#7!! 9 

SCREEN DIVISION !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9 

TOOLBARS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :; 

WORKING WITH PROJECTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :< 

PROJECTS NONAME AND PROTOTYPE (RECOVERING OF LOST INFORMATION) !!!!!!!!!!!!!!!!!!!!!!!!!!! := 

DEALING WITH LAYERS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :> 

DIFFERENCE BETWEEN PICK ?LOCATE ?SELECT AND UNUSED !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :" 

INITIALIZING THE SYSTEM !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :9 

DEFINING ROADS WORK MODES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @@ 

SAVING THE PROJECT FOR MOVING FROM ONE COMPUTER TO ANOTHER (ZIP) !!!!!!!!!!!!!!!!!!!!!!!!! @< 

USING CIVILCAD 2008 HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @= 

!"#$%&' /) !00'12+#%&3 1#%#4#3& ------------------------------------------------------------------------------- /5 

COORDINATES DATABASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @A 

COORDINATES LIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @" 

COMMAND BUTTONS CONNECTED TO THE LIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <;  

DRAWING COMMANDS AFFECTING THE LIST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A 

WORKING WITH BLOCKS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B< 

!"#$%&' 6 ) 70'82+* 72%" 4,0!839!01&: ------------------------------------------------------------------ ;< 

WORKING WITH BLOCKS (CODES) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B> 

SETTING WORK MODE IN BLOCKS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B> 

WORKING WITH CODES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! BA 

LOADING A NEW BACKGROUND INTO A PROJECT WITH BLOCKS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B" 

CREATING CODES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B9 

COMMANDS FROM ‘TOPOGRAPHY CODES’  WINDOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =; 

BLOCK IN ROADS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =: 

#*C'('() 3,D,$6 '( E.*-FD%.*G C'D*!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =: 

!"#$%&' ;) !'&#%2+* !0+%0=' ,2+&3 ---------------------------------------------------------------------------- <6 

3$*%.'() 3,(.,2$ D'(*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =B 

START USING !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =B 

BASIC ISSUES AND DEFINING THE RANGE OF CONTOUR LINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =B 

COMMAND BUTTONS FROM THE CONTOURS WINDOW: !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =" 

SETTING OPTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =" 

CONTOUR LINES LAYERS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! =9 

PROCESSING POINTS TO CREATE CONTOUR LINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! >; 

BREAKLINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! >@ 

!"#$%&' <) ,2+&3 !0++&!%20+3 ------------------------------------------ ---------------------------------------------- 5. 

LINES CONNECTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! >" 

DEFINING MEASURING LINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! >" 

CHANGING THE LINES DEFINITION !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! >9 

COMMANDS FROM ‘TOPOGRAPHY /DESIGN LINES’  WINDOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A; 

FILTERING LINES FROM A DWG FILE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A@ 

!"#$%&' 5) #'&# !#,!=,#%20+3 --------------------------------------------------------------------------------------- .; 

GENERAL !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A= 

DEFINING PLANES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A> DISPLAY DEFINITIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A" 

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SUMMARIZING TABLE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A9 

!"#$%&' .) !0>$=%#%20+3 0? &#'%"70'83 @0,=>&3 =32+* $,#+&3 ------------- AB 

VOLUMES COMPUTATIONS USING PLANES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ": 

DEFINING TOPOGRAPHY STATUS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ": 

DEFINING DESIGNED PLANES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "< 

MORE OPTIONS FROM THE ‘DESIGNED PLANES' WINDOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "= 

DEFINING SLOPES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "> 

CHANGING PLANE CHARACTERISTICS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "A 

SUMMARIZING TABLE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9; 

ELABORATION: DESIGNED ELEVATION OF PLANES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9: 

!"#$%&' A) !0>$=%#%20+ 0? &#'%"70'83 @0,=>&3 =32+* %"& >01&,C%0C

>01&, 3D3%&>-------------------------------------------------------------------------------------------------------------------------- E6 

COMPUTATION OF EARTHWORKS VOLUMES USING THE MODEL-TO-MODEL SYSTEM !!!!!!!!!!!!!!!!!! 9B 

PREPARING A MODEL OF THE EXISTING TOPOGRAPHY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9B 

INPUT OF DESIGNED TOPOGRAPHY DATA / OR AS MADE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9> 

DEFINING ZONES EXCLUDED FROM THE EARTHWORKS COMPUTATION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9A 

DEFINING ZONES THAT ARE INCLUDED IN THE EARTHWORKS COMPUTATION  !!!!!!!!!!!!!!!!!!!!!!!!!!!! 9" 

PREPARING A MODEL OF THE DESIGNED TOPOGRAPHY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 9" 

VOLUMES TABLE – 'GENERAL EARTHWORKS' WINDOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 99 

!"#$%&' E) &#'%"70'83 C #112%20+#, 233=&3 --------------------------------------------------------- (B; 

EARTHWORKS - ADDITIONAL ISSUES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :;= 

*%$.1&,$06 3,-F2.%.',(6 26'() .1* .$'%()D*6 6H6.*- !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :;= 

EARTHWORKS LEVELING GRID !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :;" 

EARTHWORKS CONTOUR LINES (INCLUDING THE “0”  LINE) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ::< 

!"#$%&' (B) F=2!8 3&!%20+3 #+1 %"& 61 >01&, ----------------------------------------------------- ((< 

QUICK SECTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ::> 

THREE-DIMENSIONAL MODEL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ::" 

!"#$%&' (() 123%0>#% 1#%# !0>$=%#%20+3 ------------------------------------------------------------ (/( 

%3.'+%.'() .1* #'6.,-%. &'(#,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@@ 

6.%.',(6 61'C.'() !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@B 

.$%+*$6* %#I26.-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@= 

,F.',(6 &'(#,& $*+'*& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@> 

' (F2. %()D* C,$-%. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@" 

,F.',(6 C$,- .1* #'6.,-%. #%.% &'(#,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :@9 

%FF*(#'J :  K  D*%6. 6L2%$* .$%+*$6* %#I26.-*(.!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :<< 

!"#$%&' (/) !00'12+#%&3 *&0>&%'D ------------------------------------------------------------------------- (6. 

COORDINATES GEOMETRY !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :<" 

COORDINATES GEOMETRY DEFINITIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :<" 

WORKING UNITS  / (FOR ANGLES) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :<9 

GENERAL REMARKS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :<9 

AREA COMPUTATIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B; 

ARC BY CENTER AND POINT ON ARC !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B; 

ARC BY TWO POINTS AND A RADIUS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B: 

ARC BY THREE POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B@ 

ARC BY THREE OUTSIDE POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B< 

ARC SEGMENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B< 

CONTINUOUS DISTANCE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :BB 

TRANSFORMATION OF COORDINATES SYSTEM !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :BB DISTANCE AND ANGLE OF A GROUP OF POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B= 

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DISTANCE AND AZIMUTH !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B> 

INTERSECTION BY TWO DISTANCES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B> 

INTERSECTION BY TWO ANGLES AND A DISTANCE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :BA 

INTERSECTION BY THREE ANGLES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B" 

INTERSECTION BY ARC AND A STRAIGHT LINE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B" 

INTERSECTION POINT BETWEEN TWO LINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :B9 

LOCATING POINTS ON A LINE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=; 

LOCATING A POINT BY AZIMUTH AND DISTANCE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=: 

LOCATING A POINT BY DISTANCE AND ANGLE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=: 

OFFSET FROM A POINT TO A LINE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=@ 

PARALLEL LINES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=< 

TANGENTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=B 

!"#$%&' (6) &#'%"70'83 0+ '0#13 ---------------------------------------------------------------------------- (<< 

EARTHWORKS COMPUTATION ON ROADS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :=> 

CREATING MASS HAUL DIAGRAM USING EXCEL !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :>@ 

IMPORTING EXCEL DATA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :>@ 

!"#$%&' (;) '0#13 1&32*+ ------------------------------------------------------------------------------------------------ (5; 

ROADS DESIGN !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :>= 

PREPARING THE BACKGROUND (EXISTING BACKGROUND) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :>= 

ORGANIZING THE PROJECT ROADS LIST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :A; 

HORIZONTAL ALIGNMENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :A; 

VERTICAL ALIGNMENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :"@ 

ROADS INTERSECTIONS ON VERTICAL ALIGNMENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :9B 

ALTERNATIVE VERTICAL ALIGNMENT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :9B 

CROSS SECTIONS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :9= 

SUPER ELEVATIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @:B 

SIDE DITCHES AND ADDITIONAL COVER FUNCTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @:" 

BERMS DESIGN !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @@= 

WORKING WITH TYPICAL SECTIONS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @@A 

%#+%(3*# .,F'36 ,( 3$,66 6*3.',(6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @@" 

)*,-*.$'3 3,-F2.%.',(6 %D,() .1* 3*(.*$ D'(* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @<= 

31%()'() .1* 1,$'M,(.%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @<" 

!"#$%&' (<) '&%#2+2+* 7#,,3 ---------------------------------------------------------------------------------------- /;( 

#*6')('() $*.%'('() &%DD6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B@ 

#*6')('() $*.%'('() &%DD6 %..%31*# ., $,%# 5C,$-%. :7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B@ 

3$*%.'() .1* &%DD6 D'6. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B@ 

1,$'M,(.%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B< 

+*$.'3%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @BB 

&%DD #'-*(6',(6 53$,66 6*3.',(7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B> 

#*6')('() C$** 6.%(#'() $*.%'('() &%DD6 5C,$-%. @7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @BA 

3$*%.'() .1* &%DD6 D'6. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @BA 

1,$'M,(.%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @B" 

+*$.'3%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @=; 

&%DD #'-*(6',(6 53$,66 6*3.',(7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @=: 

$ *F,$. )*(*$%.',( !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @=< 

!"#$%&' (5) &G%'#!% #+1 ='4#+ 1&32*+ ------------------------------------------------------------------- /<; 

*J.$%3. %(# 2$8%( #*6')( !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @== 

F$*F%$'() .1* &,$0 8%30)$,2(# !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @== 

#*C'('() .1* F$,I*3. 3*(.*$D'(*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>; 

!=>%?@AB ?C> !=D33 3>!?@DA3 E3@AB >F?=%!?!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>;

 

3%G@AB %A& =>%&@AB ?HI@!%J !=D33 3>!?@DA3 K=DL % M7?LJN K@J> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>= 

KEA!?@DA3 K=DL ?C> >F?=%!? P@A&DP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>> 

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!"#$%&' (.) 12%!" 1&32*+ ------------------------------------------------------------------------------------------------- /5. 

#'.31 #*6')( !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>" 

1,$'M,(.%D %D')(-*(. ,C .1* #'.31 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @>" 

#*C'('() .1* ' (+*$. D*+*D ,C .1* #'.31 8,..,- '( .1* +*$.'3%D %D')(-*(.! !!!!!!!!!!!!!!!!!!!!! @A< #'.31 3$,66 6*3.',( #*6')( !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @A9 

%##'.',(%D C2(3.',(6 C$,- .1* 3$,66 6*3.',(6 &'(#,&  !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @"> 

>%=?CPD=Q3 !DLIE?%?@DA3 @A &@?!C>3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @"9 

?C> G>=?@!%J %J@BAL>A? 3CDP@AB ?C> ?DI DK ?C> &@?!C R%AQ3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @9@ 

!DD=&@A%?>3 %JDAB ?C> !>A?>=J@A> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @9< 

!"#$%&' (A) '&3&'@02' 1&32*+ --------------------------------------------------------------------------------------- /E. 

=>3>=GD@= &>3@BA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @9" 

%J@BAL>A? DK I>=@IC>=%J >LR%AQL>A? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! @9" 

&>K@A@AB ?C> !=D33 3>!?@DA DK ?C> I>=@IC>=%J >LR%AQL>A? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <;: 

!=>%?@AB ?C> =>3>=GD@= LD&>J !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <;A 

R%J%A!@AB >%=?CPD=Q3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <;" 

=>3>=GD@= !%I%!@?H !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <;9 !C%AB@AB ?C> I>=@IC>=%J >LR%AQL>A? %J@BAL>A? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:; 

3JDI> DK ?C> =>3>=GD@= RD??DL !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:@ 

&=%P@AB M3!=%I>= IJ%AS %A& 3>!?@DA3 %JDAB ?C> =>3>=GD@= !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:B 

&%L3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:= 

!"#$%&' (E) 1&32*+2+* *#3 $2$&,2+&3-------------------------------------------------------------------------- 6(. 

&>3@BA@AB DK B%3 I@I>J@A>3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:" 

I=DT>!? @A@?@%J@U@AB !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:" 

&>3@BA@AB I@I>J@A>3S J%HDE? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:" 

&>K@A@AB ?C> G>=?@!%J %J@BAL>A? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <:9 

&>3@BA@AB ?C> G>=?@!%J @I !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <@: 

!=>%?@AB &FK %A& 3C>>? &@G@&@AB K=DL ?C> JDAB@?E&@A%J 3>!?@DA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <@A 

&>3@BA@AB ?C> &@?!C KD= J%H@AB ?C> I@I>J@A> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <@" 

>J%RD=%?@DA DK ?C> !=D33 3>!?@DAS3 P@A&DP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <<B 

!"#$%&' /B) 1'#2+#*& #+1 3&7#*& $2$&,2+& 1&32*+ ------------------------------------------- 66. 

&=%@A%B> %A& 3>P%B> I@I>J@A> &>3@BA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <<" 

@A@?@%J@U@AB ?C> I=DT>!? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <<" 

I=>I%=@AB ?C> ?DIDB=%ICH %A& VD= &>3@BA>& 3>??@AB3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <<9 

&>3@BA@AB ?C> I@I>J@A>3N J%HDE? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <B; 

L%=Q@AB !=D33@AB3 DK ?C> I@I>J@A> P@?C D?C>= E?@J@?@>3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <B< 

&>3@BA@AB 3>!?@DA3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <B> 

I=D&E!@AB =>ID=?3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <=: 

!"#$%&' /() 7#%&' $2$&,2+& 1&32*+ ---------------------------------------------------------------------------- 6<; 

P%?>= I@I>J@A> &>3@BA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <== 

@A@?@%J@U@AB ?C> I=DT>!? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <== 

F$*F%$'() .1* .,F,)$%F1H %(#N,$ #*6')(*# 6*..'()6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <=> 

#*6')('() .1* F'F*D'(*6G D%H,2. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <=A 

-%$0'() 3$,66'()6 ,C .1* F'F*D'(* &'.1 ,.1*$ 2.'D'.'*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <>; 

#*6')('() 6*3.',(6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <>@ 

%##'.',(%D ,F.',(6 C$,- .1* 6*3.',( &'(#,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <>= 

F$,#23'() $ *F,$.6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <>A 

!"#$%&' //) !#4,&3 ,2+&3 1&32*+ ---------------------------------------------------------------------------------- 65E 

!%RJ>3 J@A>3 &>3@BA !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A; 

@A@?@%J@U@AB ?C> I=DT>!? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A; 

F$*F%$'() .1* .,F,)$%F1H %(#N,$ #*6')(*# 6*..'()6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A: 

1,$'M,(.%D %D')(-*(. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A@ 

#*C'('() .1* -%'(.*(%(3* 8,J*6 %D,() .1* D'(* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <AB 

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%&&@?@DA%J DI?@DA3 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A= 

#*C'('() .1* -%'(.*(%(3* 8,J*6 6'M*!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A> 

%&&@?@DA%J DI?@DA3 K=DL ?C> J%HDE? P@A&DP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A> 

-%$0'() 3$,66'()6 ,C .1* 3%8D* D'(* &'.1 ,.1*$ 2.'D'.'*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <A" 

#*6')('() 6*3.',(6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"; 

%##'.',(%D ,F.',(6 '( .1* 6*3.',(6 &'(#,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <": 

F$,#23'() $ *F,$.6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"B 

!"#$%&' /6) *&+&'#, 233=&3 -------------------------------------------------------------------------------------------- 6A< 

)*(*$%D '662*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"> 

,F.',(6 C$,- 3,(C')2$%.',( &'(#,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"> 

3$*%.'() % 3,,$#'(%.*6 C$%-* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"9 

#'+'6',( '(., 61**.6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <"9 

#*.*$-'('() F$,I*3. F%$%-*.*$6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9: 

3,-F2.%.',(6 ,C F,D*6 ,CC6*.6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9: 

!"#$%&' /;) "#+1,2+* H-17* ?2,&3 ------------------------------------------------------------------------------- 6E< 

1%(#D'() !#&) C'D*6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9> 

'-F,$.'() % O!#&) C'D* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9> 

*J.$%3.'() F,'(.6 C$,- % !#&) C'D* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9> 

26'() % C'D.*$ ., *J.$%3. F,'(.6 %(# D'(*6 C$,- % !#&) C'D* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <9" 

6*..'() .1* (%-*6 ,C .1* C'D.*$*# F,'(.6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! <99 

6*..'() .1* *D*+%.',( ,C .1* C'D.*$*# F,'(.6!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B;; 

#,&(6'M'() .1* (2-8*$ ,C C'D.*$*# F,'(.6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! B;; 

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Chapter 1: General

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CivilCAD 2008 Reference manual

General

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CivilCAD 2008 Reference manual

Drawing environment - working with AutoCAD®

(Autodesk) or Bricscad® (Bricscad)>"8"'>=: LMMN +,) (&0< (".! &)/ &% .!/ .(& %&''&(")*# 20,(")* /)8"0&)5/).#P

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Note: All references to AutoCAD in this manual relates to Bricscad as well. 

Screen Division 

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CivilCAD 2008 Reference manual

A06 Q ^-/) , )/( -0&E/+.9

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

U229 1;549"8 _ 8-22/"5, 4 1+46"5, 1"/:$4; W/"5, 4 1;549"86"5126 =%./0 -0/##")* .!"# 43..&)6 .!/ /)."0/ 20,(")* ("'' ,3.&5,."+,''19 Z& .& .!/20,(")* ,0/, ,)2 5&8/ (".! .!/ (")2&( .& .!/ ,0/, 1&3 ("#! .& /)',0*/9 I#/.!/ '/%. 5&3#/ 43..&) .& 21),5"+,''1 0/23+/ ,)2 /)',0*/ .!/ (")2&(9 =%./01&3 %")"#!6 +'"+< .!/ 0"*!. 5&3#/ 43..&) .& %"),'"7/ .!"# +&55,)29 !/ 20,(")*,0/, ("'' 4/ #/. ,++&02")* .& .!/ (")2&( 4&3)2,0"/# 1&3 #/'/+./29

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Working with projects

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CivilCAD 2008 Reference manual

Projects Noname and Prototype (recovering of lost

information) 

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\0&5 )&( &) /,+! ."5/ 1&3 ,+."8,./ >"8"'>=: LMMN6 .!/ -0&*0,5 ("'' 4/,+."8,./2 ") .!/ *0,-!"+# /)8"0&)5/). &% 1&30 +!&"+/9

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CivilCAD 2008 Reference manual

Defining Roads Work Modes 

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Saving the project for moving from one computer to

another (Zip)

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CivilCAD 2008 Reference manual

Using CivilCAD 2008 Help

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CivilCAD 2008 Reference manual

Chapter 2: Coordinates

database

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CivilCAD 2008 Reference manual

Coordinates database 

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CivilCAD 2008 Reference manual

Coordinates list

!/ '"#. &% +&&02"),./# "# , #+0&'' 2&() '"#. 6 .!,. +,) +&).,") ,) 3)'"5"./2)354/0 &% -&").# @.!/ -0&*0,5 2&/# )&. '"5". .!/ )354/0 &% -&").# ". +,)0/+/"8/9 O&(/8/06 "% 1&3 ,0/ (&0<")* &) , +&5-3./0 .!,. "# '&( &) 5/5&01,)2e&0 -0&+/##")* ,4"'"."/#6 ". "# -&##"4'/ .!,. .!/ #&%.(,0/ ("'' (&0< 8/01 #'&('1&0 /8/) ]*/. #.3+<_ "% .!/ '"#.# ,0/ .&& '&)*A9 !/ '"#. ".#/'% -0/#/).# .!/ -&").#6,)2 ,4&8/ ". .!/0/ "# , -&"). /2".")* '")/ @.!/ '")/ 4/'&( .!/ &-&*0,-!1>&&02"),./#A6 3#/2 %&0 ,2E3#.")* ,)2 ,22")* -&").#9 !/ %&''&(")* "# , #!&0./b/0+"#/ .!,. ("'' !/'- 2/5&)#.0,./ .!"# .&-"+P

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Z& .&P K"$0 à   A06 I+2`08.9 = A06 I+2`08. 2",'&*3/ 4&b ("'' ,--/,09

1-/ ") .!/ -0&E/+. ),5/P (/ ("'' .1-/ ") , -0&E/+. +,''/2 ]>&&0./#._9 >'"+<Y)./0 (!/) 1&3 %")"#!9F&."+/ .!,. 4'3/ .".'/ ,. .!/ .&- &% .!/ (")2&( )&( +&).,")# .!/ -0&E/+.),5/ @>&&0./#.A6 ,'&)* (".! ".# %3'' -,.!9

?-0 822+1"54.0/ $"/.

1-/ ") .!/ %&''&(")* '"#. &% +&&02"),./#P

!"#$$ %$$ &$$'#% ()'*(& &%)'#% &#%'%(% &#&'%# +$'(* *$'#&# )$ )$',& *%'%#

-."/00 1234, )$ )$ *&'))) *$ )$ *#'%#* &$$ )$ *#'%#( &$$ &$$ *%')$+ )$ &$$ *%'%(

O&( #!&3'2 .!/ '"#. 4/ .1-/2t B0")* .!/ ./b. +30#&0 .& .!/ -&").# /2".")* '")/9 J)&02/0 .& 2& .!,.6 40")* .!/ 5&3#/ .& .!"# '")/ ,)2 +'"+< &) ".9 d&3 ("'' )&."+/ ,-22Za/-4:01 +30#&0 ,--/,0")* (".!") .!/ '")/9 1-/ ") .!/ %"0#. -&"). ") .!/

#/[3/)+/6 (".! , &)/ #-,+/ &0 5&0/ 4/.(//) /,+! -,0,5/./0s %"0#. .1-/ ") .!/-&"). ),5/ @45fMMA6 #-,+/6 @LMMA b6 #-,+/6 @RMM9fLA 16 #-,+/6 ,)2 !/"*!.

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@qW9uqA9 D!/) 1&3 !,8/ %")"#!/2 .1-")* ") .!/ -&").# -,0,5/./0#6 -0/## Y)./09d&3 ("'' )&."+/ .!,. .!/ -&"). (,# /)./0/2 ").& .!/ '"#. &% -&").# ,)2 .!,. .!/-&").# /2".")* '")/ !,# -&#"."&)/2 ".#/'% &) , )/( '")/9 >&).")3/ /)./0")* .!/

0/5,")")* -&").# ") .!/ #,5/ 5,))/09

U >&55/).P .!/ %&''&(")* '")/ "# F^ , +&&02"),./P eC5,'' *0"29 1-/ ") .!"#'")/ -0/+"#/'1 ,# ". ,--/,0#9 !"# '")/ "# '"#./2 !/0/ ") &02/0 .& 2/5&)#.0,./ ,)&-."&) &% ")#/0.")* +&55/).# 4/.(//) .!/ '"#.# &% +&&02"),./#6 (!"+! 5,1 4/3#/%3' %&0 &0*,)"7")* ,)2 ,00,)*")* .!/ '"#.#9 = +&55/). #.,0.# (".! , e #"*)6(!"+! ./''# .!/ -0&*0,5 .!,. .!"# '")/ "# , +&55/). '")/ ,)2 #!&3'2 )&. 4/.0/,./2 ,# , +&&02"),./9 >&).")3/ .& /)./0 .!/ 0/5,")")* +&&02"),./# ") .!/'"#.9

!22+1"54.0/ /.+W8.W+0

 = +&&02"),./ ("'' 4/ +&5-&#/2 &% %&30 -,0,5/./0#PG&"). F,5/ e F354/0 b 1 O/"*!.

Point Name / Number is necessary and can contain any alpha-numeric character, except for a space, so that:A1, 1, 10095, bm300, At30….

Are correct names, whereas:A 1, bm 300

are incorrect names.

X – Necessary – means the geometric ‘X’ which can be any number.It is not necessary to enter zeros after the decimal as: 132.00 issimilar to 132.

Y – Necessary

Height – Optional – a point with no height will serve as a regularpoint, but commands that are dependent on height, as Earthworks

calculations or contour line drawings, will not take this point intoconsideration.

Note: Another value which can be added to the fifth column is thecode point, which will not be discussed in this chapter.

Editing the coordinates list

You can scroll the list up and down using the arrows right of the list.If you wish to change a point you

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can bring it to the points editing line by pointing to it with yourmouse. When the point will appear in the top line, bring the textcursor to the line and change the point. You can also change and

edit this list without using your mouse – bring the text cursor to thepoints editing line (again using your mouse). From this stage usethe standard editing keys:

One line up – an arrow pointing upOne line down - an arrow pointing downOne page up – Pg UpOne page down – Pg DnCtrl-End – jump to the end of the listCtrl-Home - jump to the beginning of the list

Drawing the points

After you finished typing the coordinates list, you will probably want

to present them in the window. Click the button from themain toolbar below the main menu to refresh drawing. Thiscommand instructs the program to screen the coordinates list,locate changes in the list (in this case the entire list is new), and to

draw the up-to-date list. In the same manner, each time you makea change in the list, (add coord, change coord., of a certain pointetc.) and wish to receive the change on the drawing, click on thekey, and the drawing will be updated accordingly.

Command buttons connected to the list 

J) .!/ -&").# /2".")* (")2&( @4&..&5 (")2&(A6 1&3 ("'' %")2 , *0&3- &% 43..&)#%&0 ,+."8,.")* .!/ -&").# '"#.9 D/ ("'' *& &8/0 ,'' .!/#/ +&55,)2#9

=02+10+"5, .-0 822+1"54.0/>'"+< &) .!"# 43..&) .& #-,+/ .!/ +&&02"),./# '"#. ") .!/ +&'35)# 41P

F=nY T d K >^:Y

 =# /,+! +&'35) "# #.0,"*!./)/2 .& .!/ '/%.9@F&./P (/ 5/,) .!/ */&5/.0"+ T ; /,#.A9

G'/,#/ )&."+/P .!"# +&55,)2 ,##35/# .!,. .!/ +&&02"),./# '"#. "# '/*,'9 J% 1&3+'"+< .!"# 43..&)6 (!/) .!/ '"#. "# )&. '/*,'6 .!/ '")/# .!,. ,0/ )&. '/*,' +,)+!,)*/ +&).0,01 .& .!/ /b-/+./29 \&0 /b,5-'/P

M BnfM RWfqMM9LW RqXuMM9fL fLf9fW

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C")+/ .!"# '")/ "# )&. '/*,' @.!/0/ "# ,) 3))/+/##,01 M +&'35) &) .!/ '/%.A6 .!/-0&*0,5 ("'' "2/)."%1 .!/ M ,# .!/ -&"). ),5/ Q45fMM ,# +&&02"),./ T @,5"#.,</vA ,)2 #& %&0.!6 .& .!/ -&"). .!,. fLf9fW ("'' 4/ /0,#/2 +&5-'/./'1 %0&5

.!/ '")/ #")+/ ". "# .!/ ',#. 2,., ,)2 .!/ -0&*0,5 2&/# )&. <)&( (!/0/ .& -3. ".9

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34#0 4/ .0^. ]"$0>'"+<")* .!"# 43..&) ("'' +,3#/ .!/ 2",'&* ./b.;4&b .& ,--/,0 Q ]#,8/ ,# ./b. %"'/_@4'3/ .".'/A6 %0&5 (!"+! 1&3 ("'' 4/ ,#</2 .& +!&&#/ , '"40,01 ,)2 .1-/ .!/ %"'/),5/9 !/ -0&*0,5 ("'' &-/) , )/( %"'/ 41 .!/ ),5/ .!,. (,# .1-/26 ,)2 #,8/.!/ +&&02"),./# ").& ". ,# , +'/,) ]=#+""_ %"'/9 !/ &-/)/2 =#+"" %"'/ ("'' &-/) ("''

0/5,") /b,+.'1 ,# ". "# ") .!/ +&&02"),./# '"#. @("'' ")+'32/ #-,+/ '")/# &0+&55/).# "% ,)1 /b"#.A9 J. "# -&##"4'/ .& #,8/ .!/ +&&02"),./# %"'/ ") 2"%%/0/).%&05,.#9 & 2& #& 1&3 +,) 3#/ .!"# &-."&)P J) .!/ ]C,8/ ,# ./b. %"'/_ 2",'&* 4&b,--/,0# .!/ ]\"'./0_ '")/ (".! .!/ (0".")* ]='' %"'/# @U9UA_9 >'"+< &) .!/ #5,'' ,00&(43..&) &) .!/ '/%. ,)2 +!&&#/ 1&30 2/#"0/2 %&05,. @g/*6 n/2 /.+9A9 \0&5 !/0/&)6 "% 1&3 "##3/ , +&55,)2 .& #,8/ , ./b. %"'/6 1&3 ("'' */. , %"'/ (".! .!//)2")* 1&3 +!&#/ ,)2 ") .!/ 2/#"0/2 %&05,.9

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J241 ]+29 .0^. ]"$0>'"+<")* .!"# 43..&) ("'' +,3#/ .!/ ]'&,2 %0&5 ./b. %"'/_ 2",'&* 4&b .& ,--/,09 J).!"# 4&b 1&3 ("'' 4/ ,#</2 .& -"+< .!/ ),5/ &% .!/ %"'/ 1&3 ("#! .& '&,29 !/ %"'/("'' 4/ '&,2/2 ,)2 ,--/,0 ") .!/ +&&02"),./# '"#.9 G'/,#/ .,</ )&."+/ .!,. .!/+300/). -&").# '"#.6 "% .!/0/ "# &)/6 "# )&. /0,#/26 ,)2 .!,. .!/ %"'/ 2,., "# ,22/2.& .!/ /)2 &% .!/ '"#.9 !"# (,1 ". "# -&##"4'/ .& E&") , )354/0 &% %"'/# ,)2/)',0*/ .!/ 5/,#30")* ,0/,#9 J% 1&3 #."'' (,). .!"# '"#. .& `03) &8/0a .!/ /b"#.")*'"#.6 1&3 ("'' )//2 .& %"0#. +'"+< &) .!/ ]/0,#/ ,'' +&&02"),./#_ 43..&)6 ,)2 &)'1.!/) .& '&,2 .!/ )/( '"#.9

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I+"5. !22+1"54.0/ $"/. =+."8,.")* .!"# 43..&) ("'' +0/,./ .!/ -0")./0 2",'&* 4&b9 n,</ #30/ .!/ -0")./0 "#+&))/+./2 ,)2 0/,21 .& -0"). ,)2 +'"+< &) `+&)%"05a .& -0"). .!/ '"#. &% -&").#9

F&./P .!"# +&55,)2 "# #3--&0./2 41 (&0<")* (".! 4'&+<#6 #& ". "# -&##"4'/ .&-0"). &)'1 -,0. &% .!/ '"#.9

E512

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%&0 /b,5-'/A9 \&0 /b,5-'/6 "% 1&3 2/'/./ , +/0.,") -&"). %0&5 .!/ 20,(")* ,)2+'"+< ]0/%0/#!_6 .!/ -&"). ("'' )&. ,--/,0 &) .!/ 20,(")*9 B1 +'"+<")* ]I)2&_6 1&3,0/ 5,<")* .!"# -&"). 0/,--/,0 &) .!/ 20,(")*9 :&)_. %&0*/. .& 0/%0/#! .!/20,(")*9 !/0/ ,0/ #/8/0,' +&55,)2# %&0 (!"+! 1&3 +,))&. 3#/ .!/ ]I)2&_6#3+! ,# /0,#")* .!/ '"#. &% +&&02"),./# ,)2 0/&02/0")*9

>+4/0 4$$ _ >+4/0 822+1"54.0/ $"/.!/ /0,#/ +&55,)2 ("'' /0,#/ ,'' .!/ +&&02"),./# ") .!/ '"#.9 !"# (,0)")* ("'',--/,0 4/%&0/ /0,#")*P `='' +&&02"),./# ("'' 4/ /0,#/2a9 >'"+< ]^c_ .& +&)%"059

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+&&02"),./#9 d&3 +,) +&-1 , #")*'/ -&"). &0 , 4'&+< &% -&").#9C// .!"# /b,5-'/ %&0 .!/ 3#,*/ &% .!"# +&55,)2P

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F&( .!/ -&").# !,8/ 4//) +&-"/2 .& .!/ +&5-3./0_# 5/5&01 @2&)_. /b-/+. ,0/#-&)#/ Q .!/ -&").# ("'' 4/ +&-"/2 (".!&3. , +&)%"05,."&)A9C// , +&).")3,."&) &% .!"# /b,5-'/ ") .!/ ]G,#./_ +&55,)2 4/'&(9

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I4/.0!"# +&55,)26 ") +&'',4&0,."&) (".! .!/ ]>&-1_ +&55,)26 "# %&0 +&-1")*

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D/ ("'' +&55/). !/0/6 (".!&3. 2/5&)#.0,.")*6 .!,. ". "# -&##"4'/ .& +&-1 ") .!/#,5/ %,#!"&)6 , *0&3- &% -&").# %0&5 .!/ /b"#.")* .&-&*0,-!1 +&&02"),./# '"#..& .!/ 2/#"*)/2 +&&02"),./# '"#.9

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

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I2$;,25@5 Q H&+,.")* -&").# ")#"2/ , +'&#/2 #!,-/9 >'"+< ]J_ ,)2 ]Y)./0_ .&,+."8,./ .!"# +&55,)29 n,0< , -&'1*&) ,0&3)2 .!/ 2/#"0/2 -&").# ,)2 +'"+<]>_ ,)2 ]Y)./0_ .& +'&#/ ".9 ='' .!/ -&").# ")#"2/ .!/ G&'1*&) ("'' 4/ '&+,./2

,)2 +&'&0/2 ") 4'3/9I2$;,25DW. Q H&+,.")* -&").# &3.#"2/ , +'&#/2 #!,-/9 >'"+< &) ]^_ ,)2

]Y)./0_ .& ,+."8,./ .!"# +&55,)29 :0,( , -&'1*&) ,0&3)2 .!/ 2/#"0/2#!,-/9 >'"+< ]>_ .& /)29 ='' .!/ -&").# &3.#"2/ .!/ -&'1*&) ("'' 4/ '&+,./2,)2 +&'&0/2 4'3/9

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K+00b0\0//7")* , -&").e# %0&5 .!/ '"#. ") .!/ 20,(")*9 !/ -&"). .!,. (,# %0&7/) ("'',--/,0 &) .!/ #+0//) 43. ".# /'/8,."&) ("'' )&. ,%%/+. .!/ +&).&30 '")/# 20,(")*9

3.451a%$250P & ,+."8,./ +'"+< &) ]\0//7/_ %0&5 .!/ '"#. &% +&55,)2#9 =%./0

,+."8,.")* .!"# +&55,)2 , )/( &-."&)# '"#. ("'' &-/) ")#./,2 &% .!/ -0/8"&3#'"#.9 !/ '"#. +&).,")# .!/ %&''&(")* &-."&)#P >,)+/'6 C")*'/6 D") ")6 D") &3.9

!4580$ Q >,)+/'")* .!/ +&55,)2 @1&3 +,) ,'#& +,)+/' 41 +'"+<")* &) .!/0"*!. 5&3#/ 43..&)A93"5,$0 Q \0//7")* , #")*'/ -&"). @2/%,3'. &-."&)A9 D/ ("'' 2/5&)#.0,./ .!/3#/ &% .!"# &-."&)P ,+."8,./ .!"# &-."&) ,)2 40")* 1&30 +30#&0 .& .!/ 20,(")*,0/,9 d&3 ("'' )&."+/ .!,. .!/ +30#&0 !,2 +!,)*/2 %0&5 , +0&## .& , #5,''#[3,0/9 B0")* .!/ #[3,0/ #& .!,. .!/ -&"). 1&3 ("#! .& %0//7/ ("'' ,--/,0

")#"2/ ,)2 +'"+< &) 1&30 5&3#/ 43..&) @-'/,#/ )&."+/ .!,. .!/ -&"). ".#/'% Q.!/ +/)./0 &% .!/ +0&## &0 +"0+'/ &% .!/ -&"). ,0/ ")#"2/ .!/ #[3,0/ ,)2 )&..!/ ),5/ &0 !/"*!.A9 J% .!/ -&"). `*&. .0,--/2a ". ("'' %0//7/6 ,)2 )/b. .& ".

("'' ,--/,0 ]w\0l_9 =%./0 %0//7")* ,'' .!/ 2/#"0/2 -&").#6 +'"+< ] _#!&( .!/ %0&7/) -&").# ") .!/ (")2&(9

A2.0P !/ %0//7")* &% -&").# ("'' )&. ,%%/+. 2"0/+.'1 +&).&30 '")/# .!,.!,8/ 4//) 20,()9 d&3 ("'' !,8/ .& ,+."8,./ &-."&) ]&-&*0,-!1 ;l

>&).&30#_ ,*,")6 ,%./0 1&3 !,8/ 0/%0/#!/2 .!/ 20,(")* 3#")* 6") &02/0 %&0 .!/ ]%0//7")*_ .& ,--/,09

P"5 @5 Q =+."8,.")* .!"# &-."&) ("'' ,''&( 1&3 .& %0//7/ , )354/0 &% -&").#,++&02")* .& .!/ (")2&( 2/%")"."&)9 & ,+."8,./ +'"+< &) .!"# +&55,)2 ,)25&8/ .& .!/ 20,(")* ,0/,9 n,0< .!/ (")2&( (".! .!/ -&").# 1&3 ("#! .&%0//7/ @+'"+< &) .!/ 5&3#/ 43..&) .& 4/*") 5,0<")* .!/ (")2&( Q 5&8/ .!/5&3#/ .& .!/ (")2&( 5,0<")* ,)2 +'"+< ,*,") .& %")"#! 5,0<")*A9 ='' .!/-&").# ")#"2/ .!/ (")2&( ("'' 4/ %0&7/) ") .!/ '"#. @1&3 +,) #+0&'' .!/ '"#. 3-

,)2 2&() .& #// ,'' .!/ 5,0</2 -&").#A9 >'"+< .& #!&( .!/ %0&7/)-&").# ") .!/ (")2&(9P"5 DW. Q\0//7")* -&").# &3.#"2/ , 2/%")/2 (")2&(9 & ,+."8,./6 +'"+< &)

.!"# &-."&) ,)2 5&8/ .& .!/ 20,(")* ,0/,9 n,0< .!/ (")2&(9 D!/) 1&3%")"#! 5,0<")*6 ,'' .!/ -&").# &3.#"2/ .!"# (")2&( ("'' 4/ %0&7/)9 >'"+<

.& #!&( .!/ %0&7/) -&").# ") .!/ (")2&(9

%W.2!%&P & ,+."8,./ +'"+< &) ]\0//7/_ %0&5 .!/ '"#. &% +&55,)2#9 J) .!/ =3.&>=: +&55,)2 '")/ 1&3 ("'' #// .!"# (0".")*PG&'1*&)J)e-&'1*&)^3.ewC")*'/le@Y#+A)2P

@>/8[51 Q >'"+< &) Y#+ .& %")"#! .!/ +&55,)293"5,$0 Q 2/%,3'.9 H&+,.")* , #")*'/ -&").9 J) =3.&>=: ]^4E/+. G&"). .&

C),-_ ("'' 4/ ,3.&5,."+,''1 &-/0,./29 J% , +/0.,") -&"). "# +!&#/)6 ". ("'' 4/

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'&+,./2 %0&5 .!/ 4&..&5 '"#. ,)2 */. %0&7/)9 =%./0 1&3 !,8/ %0&7/ ,'' .!/

2/#"0/2 -&").#6 +'"+< ] _ .& #!&( .!/ %0&7/) -&").# ") .!/ (")2&(9I2$;,25@5 Q\0//7")* -&").# ")#"2/ , +'&#/2 #!,-/9 >'"+< ]J_ ,)2 ]Y)./0_ .&,+."8,./ .!"# +&55,)29 n,0< , -&'1*&) ,0&3)2 .!/ 2/#"0/2 -&").# ,)2 +'"+<]>_ ,)2 ]Y)./0_ .& +'&#/ ".9 ='' .!/ -&").# ")#"2/ .!/ G&'1*&) ("'' 4/ '&+,./2

,)2 %0&7/)9 >'"+< ] _ .& #!&( .!/ %0&7/) -&").# ") .!/ (")2&(9I2$;,25DW. Q \0//7")* -&").# &3.#"2/ , +'&#/2 #!,-/9 >'"+< &) ]^_ ,)2]Y)./0_ .& ,+."8,./ .!"# +&55,)29 :0,( , -&'1*&) ,0&3)2 .!/ 2/#"0/2#!,-/9 >'"+< ]>_ .& /)29 ='' .!/ -&").# &3.#"2/ .!/ -&'1*&) ("'' 4/ %0&7/)

,)2 +&'&0/2 4'3/9 >'"+< ] _ .& #!&( .!/ %0&7/) -&").# ") .!/ (")2&(9

>+4/0

Y0,#")* , -&").@#A %0&5 .!/ '"#. 3#")* .!/ 20,(")*9 & ,+."8,./ +'"+< &) ]Y0,#/_%0&5 .!/ '"#. &% +&55,)2#9 O/0/ ,# (/''6 .!/ -&##"4'/ &-."&)# ("'' ,--/,0 %&0(&0<")* (".! C.,)2;='&)/ ,)2 %&0 (&0<")* +&54")/2 (".! =3.&>=: @#//]\0//7/_A6 43. !/0/ .!/ #,5/ +&55,)2# ("'' /0,#/ -&").#9^)/ &% .!/ 4/#. 3#/# %&0 .!/ ]Y0,#/_ +&55,)2 "# .& '"5". .!/ -0&E/+. ,0/, .& ,2/%")/2 #-,+/6 &0 .& /0,#/ .!/ 2/8",.")* +&&02"),./# ") 1&30 -0&E/+.9

D/ ("'' 2/5&)#.0,./ .!"# "##3/P #,1 1&3 !,8/ , )/( -0&E/+. ").& (!"+! 1&3!,8/ "5-&0./2 , 5/,#30/5/). +&&02"),./# %"'/6 ,)2 ") .!"# %"'/ ,0/ ,'#& .!/5/,#30/5/). #.,."&)# ,)2 +&&02"),./# &% .!/ #.,."&)_# &0"/).,."&) -&").#9 J)

5,)1 +,#/#6 .!/#/ -&").# ,0/ %,0 %0&5 .!/ 5/,#30/5/). ,0/, ,)2 #& ,%./0"5-&0.")* , %"'/ ,)2 0/%0/#!")* ". @gA6 1&3 ("'' */. , *0&3- &% -&").# @.!/ -0&E/+.,0/,A ,)2 , #5,'' )354/0 &% 0/5&./ -&").# .!,. ,0/ &% )& 3#/9 d&3 +,) 3#/.!/ &-."&) ]Y0,#/ ;l D") &3._ &0 ]Y0,#/ ;l -&'1*&)J)_ @2/-/)2")* &) .!/ (&0<+&)%"*30,."&)A .& /0,#/ .!/ 0/5&./ -&").# %0&5 1&30 -0&E/+.9 =%./0 /0,#")*6

+'"+< &) .& 0/%0/#! .!/ 20,(")*9

L2#0

n&8")* , -&").e# %0&5 .!/ '"#.93.451a%$250P & ,+."8,./ +'"+< &) ]n&8/_ %0&5 .!/ '"#. &% +&55,)2#9 >!&&#/

.!/ -&"). 1&3 (,). .& 5&8/ ,)2 5,0< ".# 2/#"0/2 '&+,."&)9 !/ -&").+&&02"),./# ("'' +!,)*/ ,++&02")* .& ".# )/( '&+,."&)9J) &02/0 .& 5&8/ , *0&3- &% -&").# 1&3 53#. -/0%&05 .!/ %&''&(")* #./-#P

>!&&#/ ]H&+,./_ %0&5 .!/ +&55,)2 '"#.9>!&&#/ ]D") ")_ %0&5 .!/ '"#. .!,. &-/)/29n&8/ .& .!/ 20,(")* ,)2 20,( , (")2&( ,0&3)2 .!/ -&").# 1&3 ("#! .&5&8/9>!/+< ]8_ )/b. .& .!/ (&02 ]B'&+<_9>'"+< ]>,)+/'_ ,)2 +!&&#/ ]n&8/_ %0&5 .!/ '"#.9>!&&#/ 4&.! , -&"). .!,. ("'' 4/ 3#/2 ,# , 0/'/8,)+/ -&"). %&0 5&8")* .!/&.!/0 -&").#6 ,)2 .!/ )/( '&+,."&) &% .!/ -&").9 ='' -&").# 5,0</2 ") .!/(")2&( ("'' 5&8/ ,++&02")*'19

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%W.2!%&P J. "# , +&55&) 5"#.,</ .& .!")< .!,. 5&8")* , -&"). (".! =3.&>=:@.!/ &02"),01 ]n&8/_ +&55,)2A ("'' +!,)*/ .!/ +&&02"),./# &% .!/ #,5/ -&").

") .!/ 4&..&5 '"#.9 O&(/8/06 ". "# -&##"4'/ .& 3#/ .!/ ]n&8/_ &-."&) 2/#+0"4/2!/0/ .& -!1#"+,''1 5&8/ , -&").6 (!"'/ #"53'.,)/&3#'1 +!,)*")* ".# +&&02"),./#") .!/ '"#.9& ,+."8,./ +'"+< &) ]n&8/_ %0&5 .!/ '"#. &% +&55,)2#9 J) .!/ =3.&>=:+&55,)2 '")/ .!"# (0".")* ("'' ,--/,0PG&'1*&)J)e-&'1*&)^3.ewC")*'/le@Y#+A)2!

Y>/8[51 Q >'"+< &) Y#+ .& %")"#! .!/ +&55,)293"5,$0 Q 2/%,3'.9 n&8")* , #")*'/ -&").9 J) =3.&>=: ]^4E/+. G&"). .& C),-_("'' 4/ ,3.&5,."+,''1 &-/0,./29 =%./0 #/'/+.")* , +/0.,") -&").6 1&3 ("'' 4/,#</2 .& 5,0< .!/ %"0#. '&+,."&) .!,. ("'' #/08/ ,# .!/ 0/%/0/)+/ -&"). %&05&8/5/).6 ,)2 .!/) 5,0< .!/ -',+/ 1&3 (,). .!/ -&").# .& 5&8/ .&9 !/+&&02"),./# &% .!/ #/'/+./2 -&"). ("'' +!,)*/ ,++&02")* .& ".# )/( '&+,."&),)2 ,++&02")* .& .!/ 1/''&( +0&## 5,0<")*9 D!/) 1&3 %")"#! 5&8")* ,'' .!/

2/#"0/2 -&").#6 +'"+< ] .& 0/%0/#! .!/ 20,(")*9I2$;,25@5 Q n&8")* -&").# ")#"2/ , +'&#/2 #!,-/9 >'"+< ]J_ ,)2 ]Y)./0_ .&,+."8,./ .!"# +&55,)29 n,0< , -&'1*&) ,0&3)2 .!/ 2/#"0/2 -&").# ,)2 +'"+<]>_ ,)2 ]Y)./0_ .& +'&#/ ".9 ='' .!/ -&").# ")#"2/ .!/ G&'1*&) ("'' 4/ '&+,./29n,0< .!/ %"0#. '&+,."&) .!,. ("'' #/08/ ,# .!/ 0/%/0/)+/ -&"). %&0 5&8/5/).6,)2 .!/) 5,0< .!/ -',+/ 1&3 (,). .!/ -&").# .& 5&8/ .&9 D!/) 1&3 %")"#!

5&8")*6 +'"+< ] _9I2$;,25DW. Q n&8")* -&").# '&+,./2 &3.#"2/ , +'&#/2 #!,-/9 >'"+< &) ]^_

,)2 ]Y)./0_ .& ,+."8,./ .!"# +&55,)29 :0,( , -&'1*&) ,0&3)2 .!/ 2/#"0/2#!,-/9 >'"+< ]>_ .& /)29 ='' .!/ -&").# &3.#"2/ .!/ -&'1*&) ("'' 4/ '&+,./29n,0< .!/ %"0#. '&+,."&) .!,. ("'' #/08/ ,# .!/ 0/%/0/)+/ -&"). %&0 5&8/5/).6,)2 .!/) 5,0< .!/ -',+/ 1&3 (,). .!/ -&").# .& 5&8/ .&9 D!/) 1&3 %")"#!

5&8")*6 +'"+< ] _9

Working with blocks 

!/0/ ,0/ 5,)1 +&55,)2# #3+! ,# ]>&-1_ ]\0//7/_ ,)2 5&0/6 .!,. +,) 4/3#/2 %&0 (&0<")* (".! 4'&+<#9 = 4'&+< "# ,+.3,''1 , *0&3- &% -&").# &) (!"+!

+/0.,") +&55,)2# .!,. +,) 4/ 5,2/9 !/ %&''&(")* /b,5-'/ ("'' #!&( !&( .&3#/ 4'&+<#9\&''&( .!/#/ #./-# .& -0"). , #/+."&) &% .!/ -&").# '"#. ") 1&30 -0&E/+.P

>&'&0 ") 4'3/ .!/ -&").# 1&3 (,). .& -0").9& 2& #& 5,0< .!/ %"0#. -&"). %&0 -0").")* ") .!/ '"#.6 5&8/ (".! .!/ ,00&(#0"*!. &% .!/ '"#. .& .!/ ',#. -&"). &% -0").")*6 !&'2 .!/ ]#!"%._ </16 ,)2 +'"+< ,)25,0< .!"# -&").9 ='' -&").# 4/.(//) .!/ .(& 5,0</2 -&").# ("'' 4/ +&'&0/2 ")4'3/9F&( 5,0< .!/ -&").# +&'&0/2 ") 4'3/ ,# ]B'&+<_9 B1 +!/+<")* ]8_ )/b. .& .!/(&02 ]B'&+<_9 \0&5 !/0/ &)6 ,'' .!/ -&").# 5,0</2 ") .!/ '"#. ,0/ `.0,--/2a41 ]B'&+<_9

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>'"+< &) .!/ ]G0")._ 43..&) @(".! .!/ -"+.30/ &% , -0")./0 %0&5 .!/ 4&..&5*0&3- &% 43..&)#A9 d&3 ("'' */. .!/ 5/##,*/ .!,. &)'1 .!/ ]B'&+<_ ("'' 4/-0")./2 ,)2 )&. .!/ /)."0/ '"#.9 >'"+< ]^c_ .& +&).")3/ .!/ -0&+/## ,)2

+&)%"05 .!/ -0").")* ,%./0 .!/ -0")./0 2",'&* 4&b ,--/,0#9

D/ !,8/ #!&() .!,. (&0<")* (".! 4'&+<# /),4'/# 1&3 .& 2/%")/ , *0&3- &%-&").# .&*/.!/06 5,<")* ". -&##"4'/ .& ,+."8,./ .!/5 ,# , *0&3-9 D/ ("'' )&(2"#+3## ,) ,22"."&),' +&55,)2 @8/01 3#/%3'vA -&##"4'/ %&0 ,+."8,."&) &)4'&+<#9 !"# +&55,)2 ,''&(# #"53'.,)/&3# /0,#")* ,)2 ,22")* &% +&'35)# .&, *0&3- &% '")/#9 C.321 .!"# /b,5-'/PC,1 1&3 !,8/ , '"#. &% +&&02"),./# .!,. (,# "5-&0./2 .& .!/ 4&..&5 '"#.6 43. ").!/ '/%. +&'35) %,0.!/#. &) .!/ '/%. ,--/,0# .!/ +&2/ ]M_6 "5-'1")* .!,. , '")/%0&5 .!/ '"#. ("'' '&&< '"</ .!"#PM B5LMMM WMM9fL RMM9fq fM9RW

!"# '")/ "# )&. '/*,'6 ,# .!/ -,0,5/./0 7/0& "# 3))/+/##,019 d&3 +,)6 &%;+&30#/6 5&8/ , '")/ ,)2 /0,#/ .!"# -,0,5/./06 43. ". ("'' .,</ 3- 53+! ."5/9 &2& .!"# (".! 4'&+<#P

n,0< .!/ %"0#. -&"). &) 1&30 '"#.9n&8/ (".! .!/ ,00&(# .& .!/ ',#. -&"). &) 1&30 '"#.6 !&'2 .!/ ]C!"%._ </1 ,)2+'"+< @</1;4&,02A6 ,)2 5,0< .!/ ',#. -&"). (".! 1&30 5&3#/9>,-.30/ .!/ *0&3- &% -&").# ,# Q]B'&+<_ @41 +!/+<")* ]8_ )/b. .& .!/ (&0<]B'&+<_A9

B0")* .!/ ./b. +30#&0 .& .!/ -&").# /2".")* '")/6 #& ". ("'' #.,)2 ") %0&). &% .!/-,0,5/./0 7/0& .!,. ,--/,0# &) .!/ #,5/ '")/9>'"+< &) ]:/'/./_ %0&5 1&30 </1;4&,02 Q 1&3 ("'' #// .!,. .!/ /)."0/ +&'35)(!"+! !,# .!/ +30#&0 (,# /0,#/2 %0&5 ,'' 0/'/8,). '")/# @.!/ ]B'&+<_ '")/#A9>'"+<")* &) .!/ ]8_ 5,0< )/b. .& ]B'&+<_ ("'' +,)+/' .!/ (&0<")* (".! 4'&+<#9

g @5 .-"/ 0^49:$0O ". 64/ :2//"\$0 .2 0+4/0 2+ 411 8-4+48.0+/ V /:480/ .282$W95/ "5 4 ,+2W: 2] :2"5./7

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Chapter 3 : Working with

blocks(code)

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Working with blocks (Codes) 

^)/ &% .!/ 5,)1 &-."&)# ") (&0<")* (".! >"8"'>=: LMMN "# -0/#/).")* .!/-0&E/+. +&&02"),./# &) , 20,(")* ") .!/ %&05 &% -0/;2/%")/2 4'&+<#9 !"# (&0<5&2/ "# )&. -&##"4'/ (!/) (&0<")* (".! .!/ -0&*0,5 ,# ,) ")2/-/)2/).#.,)2;,'&)/ %&05,.9

C34#/[3/). .& >"8"'>=: LMMN ")#.,'',."&)6 1&3 ("'' %")2 .!/ '"40,0"/# +&).,")")*.!/ -0&*0,5_# 4'&+<# ") .!/ ")#.,'',."&) '"40,01 ]>&2/#_ %"'/9 !/ 5,") '"40,0"/#.!,. 1&3 ("'' 4/ (&0<")* (".! ,0/ .!/ ]n,")O/4_ (!"+! +&).,")# .!/ 4'&+<# ")O/40/(6 ,)2 ]n,")_ .!,. +&).,")# .!/ #,5/ 4'&+<# ") Y)*'"#!9

B1 /)./0")* .!/ ]!D&>3_ %"'/ %0&5 D")2&(#6 1&3 ("'' #// .!,. %&0 /,+! 4'&+<#'"40,01 .!/0/ ,0/ ,22"."&),' ]&FKN %"'/# ,)2 ]&P?_ %"'/# &% .!/ #,5/ ),5/6 %&0/b,5-'/P!/ ]L4"5C0\_ '"40,01 !,# , ]L4"5C0\716._ %"'/6 ,)2 , ]L4"5C0\71^] _ %"'/9!/#/ ,0/ %"'/# ") (!"+! ,'' .!/ '"40,01 4'&+<# ,0/ 2/%")/2 @#// `D&0<")* (".!>&2/#a #/+."&) ") .!"# +!,-./0A9

>!,-./0 .&-"+# ,0/ ,# %&''&(#P

C/..")* (&0< 5&2/ ") 4'&+<#9

D&0<")* (".! +&2/#9H&,2")* , )/( 4,+<*0&3)2 ").& , -0&E/+. (".! 4'&+<#9>&55,)2# %0&5 ]&-&*0,-!1 ;l >&2/#_ (")2&(9B'&+<# ") 0&,2#9:/%")")* +&'&0# ") ]/5-',./_ %"'/9

Setting work mode in blocks

^-/) -0&E/+. MI+2.2.;:0N ") &02/0 .& #(".+! .& M\$28Z/N (&0< 5&2/9^-/)P MK"$0acD:05 :+2`08.N >!&&#/ MI+2.2.;:07:+`N -0&E/+. ,)2 +'"+< MDQN 

^-/)P MK"$0ac!25]",W+4."25N C/'/+. `:0,(")* /)8"0&)5/)._ .,49>!/+< ]j_ ") .!/ MR$28Z/L210N 4&b>'"+< MDQN 

F&( *& .& .!/ M!210 10]"5"."25N (")2&(P

^-/)P ]&-&*0,-!1;l>&2/#_>'"+< &) .!/ 1/''&( %"'")* +,4")/. "+&)\0&5 .!/ ]^-/)C/._ (")2&( .!,. &-/)#6 +!&&#/ .!/ 2/#"0/2 +&2/# '"40,01

,)2 +'"+< ]^c_9 F&( 1&3 +,) #// .!,. .!/ '"40,01_# ),5/ ,--/,0")* ,. .!/.&- #/+."&) &% .!/ (")2&( 3)2/0 ]C/._9

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 =%./0 1&3 !,8/ -"+</2 .!/ 4'&+<# '"40,01 (".! (!"+! 1&3 (,). .& (&0<6 1&3 ("'')//2 .& 2/%")/ .!/ -0&E/+. 2/%,3'. 4'&+<9 !/ -0&*0,5 ("'' ,'#& 3#/ .!"# 4'&+<

%&0 +&&02"),./# .!,. (/0/ )&. 2/%")/2 41 , +&2/ %0&5 .!/ '"#.9

>!&&#/ .!/ 4'&+< )354/0 %0&5 .!/ '"#. ") .!/ .&- #/+."&) &% .!"# (")2&(

>'"+< &) ME:14.0N !/ -0&*0,5 ("'' ,#< "% 1&3 ("#! .& +&)8/0. .& .!/ 4'&+< 1&3 !,8/ +!&#/)9>'"+< MH0/N9 F&( 1&3 +,) #// .!/ 2/%,3'. 4'&+< ),5/ ,--/,0")* )/b. .& .!/ME:14.0 Y&0]4W$.[N "+&)9^-/) .!/ &-&*0,-!1 +&&02"),./# '"#. 41 ,+."8,.")*P &-&*0,-!1;l>&&02"),./#9

G0/## .!/ &-."&)# 43..&) @,4&8/ .!/ +&&02"),./# '"#.A6 ,. .!/ 4&..&5 &%

.!/ &-."&)# (")2&(6 5,0< .!/ &-."&)P B'&+<# 5&2/ ,)2 -0/## ^c9

Yb". .!/ -0&*0,5 ,)2 #,8/ .!/ +!,)*/#P

>'"+< MDQN Yb"#. .!/ -0&*0,5 MK"$0ac >^".N >&)%"05 .!/ #,8")* &% 2,.,

\0&5 !/0/ &)6 /8/01 ."5/ 1&3 &-/) , )/( -0&E/+.6 1&3 ("'' (&0< ") 4'&+<#5&2/9 D!/) (&0<")* &) /b"#.")* -0&E/+.#6 .!/ -0&E/+. ("'' (&0< ") .!/ 5&2/

2/%")/2 %&0 .!,. -0&E/+. #-/+"%"+,''1.

Working with codes

!"# /b/0+"#/ ("'' /b-',") !&( .& (&0< (".! +&2/#9 =%./0 2/./05")")* .!/ 4'&+<# 5&2/6 &-/) , )/( -0&E/+. ,)2 -/0%&05 .!/%&''&(")*P

>'"+< &) MJ241 ]+29 .0^. ]"$0N %0&5 .!/ +&&02"),./# '"#. @1/''&( %"'")*+,4")/. "+&)AH&,2 .!/ %"'/P >"8"'>=: LMMNm#,5-'/#m#,5-'/M9.+&

>'"+< &) .& 0/%0/#! .!/ 20,(")*9

F&( 1&3 +,) #// .!,. .!/ -0&*0,5 !,# '&,2/2 .!/ 20,(")* +&&02"),./# &).&.!/ 20,(")* ") .!/ %&05 &% , -/05,)/). 4'&+<9 B1 )&. /)./0")* .!/ 0/-0/#/).")*+&2/ %&0 /,+! '")/ ") .!/ +&&02"),./# '"#.6 .!/ -0&*0,5 3#/2 .!/ 2/%,3'. 4'&+<.!,. (,# 2/%")/2 /,0'"/09

F&( +!,)*/ .!/ '"#.P>!&&#/ , )354/0 &% '")/# %0&5 .!/ '"#. ,)2 /)./0 ,. .!/"0 /)2# 2"%%/0/). +&2/)354/0#9 !/ .1-")* ("'' 4/ 2&)/ ") .!/ /2".")* '")/ ,%./0 .!/ !/"*!.9

\&0 /b,5-'/P R RMMM RMMM RMM9fq Lf@.!"# -&"). ("'' 4/ 0/-0/#/)./2 41 4'&+< +&2/ LfA

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!/#/ +&2/# 53#. /b"#. ") .!/ 4'&+< '"#. &% .!/ /b"#.")* '"40,019 J) &02/0 .& 8"/(.!/ /b"#.")* '"#. &% +&2/#6 &-/) .!/ M?2:2,+4:-; _8210/N (")2&( ,)2 '&&< ,.

.!/ .&- #/+."&)9

\&''&(")* .!/ .1-")* +'"+< &) .!/ UN=02+10+!22+1"54.0/N 43..&) @.!/ 43..&)

(".! 0"*!. ,)2 '/%. ,00&(# ") .!/ +&&02"),./# '"#.A9 !/ #-,+/# ") .!/ '"#. ("'' 4/,00,)*/2 ,3.&5,."+,''19

>'"+< &) ,*,") ,)2 .!/ -0&*0,5 ("'' +!,)*/ .!/ 4'&+<# ,++&02")* .&.!/ +!,)*/# 5,2/ ") .!/ '"#.9J) &02/0 .& +!,)*/ .!/ 4'&+<# #"7/ ") .!/ 20,(")*6 +'"+< &) .!/ MD:."25/N

43..&) ; %0&5 .!/ +&&02"),./# '"#. ,)2 ") .!/ (")2&( .!,. &-/)# 40")*M384$0N .& .!/ 2/#"0/2 #"7/6 ,)2 +'"+< MDQN9

G0/## .& +!,)*/ .!/ 4'&+<# #"7/ ") .!/ 20,(")*9

*Unlike working without blocks, working with blocks requires aligning the points

in the columns prior to clicking  .

Loading a new background into a project withblocks

Y8/01 ."5/ 1&3 &-/) , )/( -0&E/+. (".! 4'&+<#6 >"8"'>=: LMMN '&,2# ,M?09:$4.0N %"'/ +&).,")")* ,'' .!/ 4'&+<# 4/'&)*")* .& .!/ 4'&+<# '"40,01 (".!(!"+! 1&3 (,). .& (&0<9 H&,2")* , )/( 4,+<*0&3)2 %&0 .!/ -0&E/+. 8", MK"$0acD:05N +&55,)2 %0&5 .!/ =3.&>=: 5/)36 ("'' /0,#/ .!/ 4'&+<# 2/%")/2 ").!/ ]/5-',./_ %"'/9

!"# "# .!/ 0/,#&) %&0 3#")* .!/ =3.&>=: M@5/0+.N +&55,)2 %&0 '&,2")* ,-0&E/+. 4,+<*0&3)29 !/ 4,+<*0&3)2 ("'' 4/ '&,2/2 ,# , 4'&+< &0 , M1^]N9 J)+,#/ 1&3 !,8/ ,++"2/).,''1 /0,#/2 .!/ 4'&+<# 2/%")"."&)6 %&''&( .!/#/ #./-#P

\0&5 =3.&>=: 5/)3 *& .&P MK"$0acD:05N >!&&#/ %0&5 MK"$0 2] .;:0/NP M&+46"5, .09:$4.0 ]"$0Y16.[_

^-/) .!/ 0/'/8,). M?09:$4.0N %"'/ %0&5 .!/ ]+&2/#_ '"40,016 %&0 /b,5-'/;ML4"5716.N 

 =+."8,./ %0&5 .!/ 5,") .&&'4,0 4/'&( .!/ 5,") 5/)39J) =3.&>=: ,+."8,./ 7&&5;/b./)2#9

 =%./0 .!/ 0/;'&,2")* .!/ ./5-',./ ,)2 0/+&)#.03+."&) &% ',1/0# ". "# -&##"4'/ .&8"/( .!/ -0&E/+.9

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Creating codes

 ='' +&2/# 53#. 4/ +0/,./2 %0&5 ̀ G0&.&.1-/a -0&E/+.9

RA ^-/) -0&.&.1-/ -0&E/+. ,)2 .!/)6 %0&5 >"8"'>=: 5,") n/)36 *& .&M?2:2,+4:-;_c!210/N9

LA >'"+< &) ]F/( C/._ 43..&) @,. .!/ 3--/0 0"*!. #"2/ &% .!/ (")2&(A .&

+0/,./ , )/( '"40,01 &0 +'"+< &) ]^-/) C/._ 43..&) ") &02/0 .& ,22+&2/# .& /b"#.")* '"40,019

fA >'"+< &) ]F/( 4'&+<_ 43..&) @,. .!/ '&(/0 0"*!. #"2/ &% .!/ (")2&(A .&+0/,./ , )/( 4'&+<9

SA Y)./0 .!/ 2/#"0/2 +&2/ ),5/6 ,)2 +'"+< &) ]B0&(#/ %"'/

),5/_ 43..&) .& '&,2 .!/ 4'&+<_# :DZ9

WA >'"+< &) ]C/. .!/ +!,)*/# .& .!/ 4'&+<_ 43..&) .& #,8/ .!/2/%")"."&)#9

uA g/-/,. #./-# f;W %&0 /,+! +&2/9

qA =%./0 +0/,.")* +&2/#6 &-/) /,+! +&2/_# :DZ ") =3.&>=: ,)2 #,8/ ".,# :T\ %"'/ ") .!/ /,0'"/#. 8/0#"&) -&##"4'/ ") =3.&>=:9

NA :T\ ,)2 :DZ %"'/ 53#. !,8/ .!/ #,5/ ),5/ ,)2 4/ '&+,./2 ") .!/#,5/ '"40,019

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Commands from ‘Topography Codes’ window

>0/,.")*6 /2".")*6 ,)2 /0,#")* , )/( 4'&+<# '"40,01 @]F/( C/._A

A06 30. Q &-/)")* , )/( 4'&+<# '"40,01>'"+<")* .!"# 43..&) ("'' -0/#/). , (")2&( (".! .!/ ),5/# &% .!/ /b"#.")*'"40,0"/#9 Y)./0 .!/ )/( '"40,01 ),5/ )/b. .& .!/ !/,2")* MA06 /0.N ,)2 +'"+<MDQN9 !/ '&+,."&) &% .!/ 4'&+<# '"40,01 "# ") M!D&>3N6 %0&5 ")#"2/ .!/")#.,'',."&) '"40,019 >"8"'>=: LMMN 2"0/+.&01 "# '&+,./2 ") >mG0&*0,5 \"'/#9!/0/%&0/ .!/ '&+,."&) &% .!/ '"40,01 ("'' 4/P >mG0&*0,5 \"'/#m>"8"'>=:LMMNm>&2/#9

>+4/0 30. Q +'"+<")* .!"# 43..&) ,)2 +!&&#")* , '"40,01 %0&5 .!/ '"#. .!,.&-/)# +&5-'/./'1 /0,#/# .!/ '"40,01 %0&5 .!/ '"#. ,)2 %0&5 .!/ +&2/# %"'/9@>PmG0&*0,5 \"'/#m>"8"'>=: LMMNm>&2/#A9 

D:05 30. Q &-/)")* ,) /b"#.")* 4'&+<# '"40,01>'"+<")* .!"# 43..&) ("'' -0/#/). .!/ '"#. &% /b"#.")* '"40,0"/# ") ,)&.!/0 (")2&(9 =%./0 +!&&#")* .!/ '"40,01 +'"+< MDQN9

30. \$28Z 4/ 10]4W$. Q +!&&#")* , 2/%,3'. 4'&+< =%./0 #/'/+.")* , 4'&+< %0&5 .!/ '"#. &% 4'&+<# ") .!"# (")2&(6 +'"+< .!"# 43..&) .&#/. .!/ +!&#/) 4'&+< ,# , 2/%,3'. 4'&+<9 !"# 4'&+< ("'' 4/ -0/#/)./2 .& .!/+&&02"),./ (".!&3. , +&2/ ") .!/ +&&02"),./# '"#.9

I+0#"06 Q , -0/8"/( &% , 4'&+<>'"+<")* .!"# 43..&) ("'' '&,2 .!/ 4'&+< ".#/'% .& .!/ *0,-!"+ /)8"0&)5/). ,)2-0/#/). ". &) .!/ #+0//)9 C")+/ .!"# ,+."&) ("'' /0,#/ .!/ /b"#.")* 2",*0,56 ".

#!&3'2 4/ %&''&(/2 41 , +'"+< &) 9 G'/,#/ )&."+/ .!,. .!"# +&55,)2("'' &)'1 0/#.&0/ .!/ ',1/0# +&))/+./2 .& >"8"'>=: LMMN #&%.(,0/9

R+26/0 ]"$0 5490 ; +!&&#")* &)/ 4'&+< %"'/ %0&5 .!/ 4'&+<# '"40,01J) &02/0 .& +!&&#/ , )/( 4'&+< ,)2 ,22 ". .& .!/ '"40,016 &-/) .!"# (")2&( ,)2+!&&#/ .!/ 4'&+< 1&3 (&3'2 '"</ .& 2/%")/ %&0 .!/ /b"#.")* '"40,019 B1 +'"+<")* &)&)/ &% .!/ 4'&+<# %0&5 .!/ '"#. .!,. &-/)#6 .!/ ),5/ &% .!/ +!&#/) 4'&+< ("'',3.&5,."+,''1 ,--/,0 ") .!/ .1-")* '")/9

A06 R$28Z Q +!&&#")* , )/( 4'&+<

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>'"+<")* .!"# 43..&) 2/%")/# , )/( 4'&+<9 J) &02/0 .& +!&&#/ , 4'&+< %0&5 .!/'"#.6 &-/) .!/ (")2&( (".! .!/ '"#. &% 4'&+<# @.!/ .!0//;-&"). 43..&)A9 =%./0+!&&#")* .!/ 4'&+< %0&5 .!/ '"#.6 .!/ ),5/ &% .!/ %"'/ ("'' ,--/,0 )/b. .& .!/

!/,2")*PMK"$0a5490N9 Y)./0 .!/ 4'&+<_# ),5/ 3)2/0 MR$28Z/ 5490N9 1-/ .!/ ),5/ &%.!/ ',1/0 ") (!"+! .!/ 4'&+< ("'' 4/ /)./0/2 )/b. .& .!/ !/,2")* MJ4;0+N9 I#/.!/ #,5/ ',1/0 %&0 ,'' .!/ 4'&+<# ") .!/ #,5/ '"40,019 Y)./0 .!/ +!&#/) +&2/),5/ %&0 .!/ )/( ',1/0 )/b. .& .!/ !/,2")* M!210N9 & 3#/ .!"# 4'&+< ; /)./0.!"# +&2/ ") .!/ +&&02"),./# '"#.9 =%./0 2/%")")* ,'' .!/ 2,., .& .!/ )/( 4'&+<6+'"+< MDQN .& /)./0 .!/ 4'&+< ") .!/ '"#. &% +&2/# ") .!/ .&- #/+."&) &% .!"#(")2&(9

>+4/0 R$28Z Q /0,#")* , 4'&+< %0&5 .!/ '"40,01!"# 43..&) /0,#/# .!/ 4'&+< %0&5 .!/ '"#. &% 4'&+<#6 43. 2&/# )&. /0,#/ ".# %"'/%0&5 ".# '"40,016 #& .!,. ") .!/ %3.30/ ". +,) 4/ 0/.30)/2 .& .!/ '"#.9

Block in roads

J) 4'&+<# 5&2/6 (!/) (&0<")* &) , -0&E/+. (".! 0&,2#6 >"8"'>=: LMMN +0/,./#.!/ ',1/0# 0/-0/#/).")* .!/ JG# 2,., 41 3#")* 4'&+<# ") .!/ %&05 &% #"*)#65,<")* ". 8/01 /,#1 .& /2". .!/ 20,(")* .!/ #&%.(,0/ !,2 +0/,./29

J) &02/0 .& 2/%")/ .!/ (&0<")* 5&2/ ") 0&,2# (".! 4'&+<# -/0%&05 .!/ %&''&(")*

#./-#P\0&5 .!/ 5,") 5/)36 ,+."8,./ =241/acC2+"b25.4$ 4$",5905.9\0&5 .!/ (")2&( ,. .!/ 0"*!. #"2/ &% .!/ #+0//) -0/## &) .!/ &-."&)# 43..&)

;>"8"'>=: LMMN ("'' 2"#-',1 .!/ &-."&)# (")2&(6 ,. .!/ .&- &% .!,. (")2&(@3)2/0 `O&0"7&).,' ,'"*)5/).aA )&."+/ .!/ &-."&) @IN3 &4.4 "5 \$28Z/92106 4/'&( .!,. &-."&) 5,0< .!/ &-."&)P 3-26 4$$ 14.49G0/## ^c9

J) &02/0 .& "''3#.0,./ .!"#6 +0/,./ , -0&E/+. (".! 4'&+<# ,)2 2/%")/ , 0&,29 D!/)

.!/ #&%.(,0/ +0/,./# .!/ 0&,2 ',1&3.6 .01 .& 5&8/ &)/ &% .!/ J-# #"*)# %0&5 =3.&>=:9 d&3 ("'' #// .!,. .!/ /)."0/ #"*) "# 5,2/ 3- &% &)/ 4'&+< .!,. 1&3+,) /)',0*/ &0 .30) ,++&02")* .& )//29

&0]"5"5, 82$2+/ "5 M?09:$4.0N ]"$0

 =)&.!/0 ,28,).,*/ .& (&0<")* &) , -0&E/+. (".! 4'&+<# ") >"8"'>=: LMMN6 "#.!/ -&##"4"'".1 .& -0/2/%")/ +&'&0# %&0 .!/ ',1/0# .!/ #&%.(,0/ +0/,./#9 \&0/b,5-'/6 1&3 +,) 2/./05")/ .!/ +&'&0# ") .!/ +&).&30 '")/ .!/ #&%.(,0/ ("''+0/,./9

\0&5 =3.&>=: 5/)3 *& .&P MK"$0acD:05N9>!&&#/ %0&5 MK"$0 2] .;:0/NP ]:0,(")* ./5-',./ %"'/@2(.A_9

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^-/) .!/ 0/'/8,). M?09:$4.0N %"'/ %0&5 .!/ M8210/N '"40,016 %&0 /b,5-'/;ML4"5716.N9^-/) .!/ =3.&>=: '"#. &% ',1/0#9

>!,)*/ .!/ +&'&0# ") .!/ M?825.2W+/N ,# 1&3 2/#"0/9C,8/ .!/ %"'/9^-/0,./ >"8"'>=: LMMN #&%.(,0/9^-/) , )/( -0&E/+. (".! 4'&+<# @") .!"# +,#/ (".! n,")O/4 '"40,01A9H&,2 .!/ +&&02"),./# %"'/ ").& .!/ M?2:2,+4:-; 822+1"54.0/N7g3) +&).&30 '")/# ; M?2:2,+4:-; ac 825.2W+/N9

F&( 1&3 +,) #// .!,. .!/ ',1/0# .!/ #&%.(,0/ !,# +0/,./2 ") &02/0 .& #!&( .!/+&).&30 '")/#6 ,0/ -0/#/)./2 ") .!/ +&'&0# 1&3 !,8/ 2/%")/2 /,0'"/0 ") .!/M?09:$4.0N %"'/9 I#")* .!"# #1#./5 1&3 +,) -0/2/./05")/ .!/ +&'&0 %&0 /,+!',1/0 .!/ -0&*0,5 +0/,./#9

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Chapter 4: Creating contour

lines

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Creating contour lines

J) .!"# +!,-./0 (/ ("'' /b-',") !&( .& +0/,./ +&).&30 '")/#9 D/ ("'' #!&( !&(.& +0/,./ +&).&30 '")/#6 #.,0.")* (".! .!/ 5&#. 4,#"+ &-."&)9 G0/+/2")*6 (/ ("''2"#+3## ,22"."&),' &-."&)#6 ,)2 %"),''1 ,28,)+/2 "##3/# '"</ 2/%")")*40/,<'")/#9

C.,0. 3#")*9B,#"+ "##3/# ,)2 2/%")")* .!/ 0,)*/ &% +&).&30 '")/#9>&55,)2 43..&)# %0&5 .!/ +&).&30# (")2&(9C/..")* &-."&)#9>&).&30 '")/# ',1/0#9G0&+/##")* -&").# .& +0/,./ +&).&30 '")/#9

B0/,<'")/#9

Start using

& +0/,./ +&).&30 '")/#6 *& .&P M?2:2,+4:-; ac !25.2W+/S9@&-&*0,-!1 ,--/,0# ") .!/ 5,") 5/)3 ,. .!/ !/,2 &% .!/ 20,(")* (")2&(9& .!/ 0"*!. &% .!/ 20,(")*6 ") .!/ 2/#<;.&- (")2&(6 , +&).&30 '")/# (")2&(("'' ,--/,0 (".! .!/ 4'3/ !/,2")*P &-&*0,-!1 >&).&30#A9

G0/## %::$; 43..&) ") .!"# (")2&(6 .& &-/0,./ .!/ +&).&30 '")/# +&5-3.,."&)9>&).&30# 2,., #3+! ,#P J)./08,'#6 +&).&30 ',1/0#6 ,)2 #& %&0.!6 ("'' 4/

,3.&5,."+,''1 +!&#/) 41 .!/ #&%.(,0/ ,++&02")* .& .!/ 2/%,3'. #/..")*#9

Basic issues and defining the range of contour lines 

B/%&0/ (/ +&).")3/ .!/ 2"#+3##"&)6 ") &02/0 .& ,''&( "55/2",./ ,--'"+,."&) &%.!/ "##3/# (!"+! (/ ("'' 2"#+3## )/b.6 &-/) , )/( -0&E/+. ,)2 /)./0 .!/%&''&(")* '"#. &% -&").#P

RW9WMSM9MMLM9MMRRS9WLfM9MMRM9MML

RW9MMLM9MMM9MMfRW9WMLW9NufS9RSSRS9WLRW9NuLS9RSWRW9MMW9NuRS9RSuRW9WMRW9WXWX9XfqRS9WLL9RXWS9RLNRW9MMRS9qN;WL9ffXRW9WMLL9LNNN9WRRMRS9WLW9quXq9SSRRRW9MMW9SR;RMq9LqRLRW9WMSL9quRMX9XWRf

RS9WLLu9MfRLS9ffRSRW9MMRL9qMRfN9XqRW

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 =%./0 /)./0")* .!/ '"#.6 -0/## .!/ ]g/&02/0 43..&)_ .& ,'"*) .!/ '"#. ,)2

-0/## .& 2"#-',1 .!/ -&").# &) .!/ 20,(")*9

R9 :/%")")* .!/ ")./08,'# 4/.(//) .!/ +&).&30 '")/#9 J) .!/ ]>&).&30 H")/#_(")2&( 1&3 ("'' %")2 .!/ ]")./08,'#_ %"/'29 & 2/%")/ .!/ ")./08,'# 4/.(//).!/ +&).&30 '")/#6 +'"+< .!/ 2/#"0/# ")./08,' ") .!/ ./b.;4&b .& .!/ 0"*!. &%]")./08,'#_9 & +&)%"056 +'"+< =--'19@)&./P J% .!/ (&02 ]2/%,3'._ ,--/,0# ") .!/ ./b.;4&b6 /0,#/ ". ,)2 /)./0

.!/ 2/#"0/2 ")./08,'A9

L9 :/%")")* .!/ ")./08,' +,'+3',."&) 0,)*/P D!/) &-/)")* .!/ >&3)./0

H")/# D")2&(6 1&3 ("'' )&."+/ , ',0*/ %0,5/ .!,. ,--/,0# ") .!/ (")2&((".! .!/ (&02 ]Yb./).#_9 !"# (&02 ")2"+,./# .!,. ,. .!/ +&).&30 '")/# ("''4/ +,'+3',./2 )&( @,%./0 &-/0,.")* .!"# +&55,)2 41 +'"+<")* .!/ =--'143..&)A ") ,'' &% .!/ 20,(")* ,0/,6 ,)2 %30.!/05&0/6 .!/ #!,-/ &% .!/+&).&30 '")/# ("'' 4/ ,0+!/2 ,. ,'' ."5/#9 \&0 /b,5-'/P

J) .!"# 20,(")* ,0/, .!/ +&).&30 '")/# ("'' 4/ +,'+3',./2 ,'#& ") .!/ +&)%")/2,0/, 4/.(//) .!/ %&''&(")* -&").# R;wS;wq;wRM;wRf;wR 6 ,)2 )&. ,# (/ 5"*!.!,8/ -0/%/00/26 (".!&3. .!"# ,0/,9 & +,'+3',./ .!/ +&).&30 '")/# (".!&3. .!"#,0/,6 1&3 53#. 2/%")/ ". ") .!/ %&''&(")* 5,))/0 P

>!&&#/ ]J284.0N %0&5 .!/ '"#. &% &-."&)# ") .!/ 0"*!. (")2&(9Z& .& .!/ 20,(")* ,0/, ,)2 +!&&#/ .!/ #/'/+./2 ,0/, 41 2/%")")* .!/ ".#

4&02/0")* -&").#P ;;wf;;;wu;;;wX L R;;;w 9

D!/) 1&3 ,0/ %")"#!/26 +'"+< .!/ 43..&) %0&5 .!/ 0"*!. @%&0 =3.&>=: 3#/0#1&3 +,) +'"+< &) ]C_ ,)2 ]Y)./0_ ") .!/ +&55,)2 '")/A9 =%./0 2/%")")* .!/ 0,)*/ &% .!/ +&).&30 '")/#6 +'"+< ^c .& +0/,./ .!/59

?-0+0 4+0 92+0 90.-21/ ]2+ 10]"5"5, .-0 +45,0 2] .-0 825.2W+ $"50/7 J0.W/ 2\/0+#0 .62X

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@5/0+."5, .-0 :2"5./ 5490/ "5.2 .-0 +45,0 2] 825.2W+ $"50/P =. .!/ !/,2&% .!/ 0"*!. (")2&( ,--/,0# , '")/ &% ./b.9 Z& .& .!"# '")/ (".! 1&30 +30#&0,)2 ")#/0. .!/ -&").# .!,. 4&02/0 .!/ +&).&30 '")/#9 B/.(//) /,+! -&").

+'"+< ]Y)./0_9 d&3 +,) ,'#& #"53'.,)/&3#'1 ")#/0. .&*/.!/0 , 0,)*/ &% -&").#&) .!/ +&)2"."&) .!,. .!/1 ,0/ ,00,)*/2 ") ,) ,#+/)2")* &02/06 %&0 /b,5-'/P RMM;RRM9 >'"+< ]Y)./0_ (!/) %")"#!/29 D!/) 1&3 %")"#! ")#/0.")* ,'' .!/

-&").# ") .!/ 0,)*/6 -0/## .!/ 43..&)9 >'"+< =--'1 .& 0/+/"8/ .!/ +&).&30'")/#9

E/"5, I2$;$"50 Y]2+ W/0+/ 2] %W.2!%& #0+/"25 25$;[X J) =3.&>=:6 20,(, -&'1'")/ 4/.(//) .!/ -&").# .!,. 4&02/0 .!/ +&).&30 '")/#9 =%./0 20,(")*1&30 -&'1'")/6 +!&&#/ ]#/'/+._ %0&5 .!/ &-."&)# '"#. &) .!/ 0"*!.9 Z& .& .!/20,(")*6 +!&&#/ .!/ -&'1'")/ 1&3 5,0</2 ,)2 +'"+< ]Y)./0_9 d&3 +,) #//

.!,. ") .!/ -&").# '"#. %0&5 .!/ 0"*!. (")2&( ,--/,0# , wF&),5/l '"#.9G0/## =--'1 .& 0/+/"8/ .!/ +&).&30 '")/#9

F&./P d&3 +,) 2& .!/ -&'1'")/ 20,(")* ") ,)1 ',1/0 1&3 (,).9 \&0 1&30+&)8/)"/)+/6 1&3 +,) /)',0*/ .!/ =3.&>=: (")2&( .& 5,b"535 41+'&#")* .!/ -,)/'# @%0&5 .!/ 0"*!. ,)2 4/'&( .!/ =3.&>=: (")2&(A 41-0/##")* .!/ #5,'' ]b_ 43..&) ,. .!/ .&- &% /,+! -,)/'9 & 0/#.&0/ .!/+&&02"),./#_ -,)/' @-,)/' 4/'&( .!/ =3.&>=:A ,+."8,./ &-&*0,-!1;l>&&02"),./#9

3-26 ?+"45,$0/P G0/#/). .!/ J)./0-&',."&) .0",)*'/# ") .!/ 20,(")*P

+!/+<")* .!"# &-."&) 5/,)# .!,. %&0 ,'' +&).&30 '")/# +,'+3',."&)#6 .!/.0",)*'/# (!"+! #/08/2 ,# ")./0-&',."&) %&0 .!/ +0/,."&) &% .!/ +&).&30 '")/#("'' 4/ 20,()9 J) &02/0 .& +&5-3./ .!/ +&).&30 '")/# .!/ -0&*0,5 2&/#.0",)*3',."&) @")./0-&',."&) &% .0",)*'/#A6 #& .!,. .!/ ,0/, 4/")* +&5-3./2 "#`+&8/0/2a (".! .0",)*'/#9 !/ -0&*0,5 ("'' +!&&#/ .!/ .0",)*'/# ".#/'%6 #&.!,. /,+! -&"). ("'' 4/ +&))/+./2 @,# 53+! ,# -&##"4'/A .& .!/ .(& -&").#+'&#/#. .& ".6 (".!&3. .!/ &8/0',--")* &% .0",)*'/#6 &0 .!/0/ ("'' )&. 4/ ,),0/, .!,. "# )&. +&8/0/2 ") .0",)*'/#9

K"^ \2+10+/P =3.&5,."+ 4&02/0 0/-,"0P =# 5/)."&)/26 .!/ +&5-3.,."&) &%

+&).&30 '")/# ("'' 4/ 2&)/ .!0&3*!&3. .!/ -0&E/+. @") ,'' ".# ,0/,#A6 3)'/## ,)

/b,+. 4&02/0 (,# 2/%")/29 d&3 +,) ")#.03+. .!/ +&5-3./0 .& ,3.&5,."+,''10/-,"0 .!/ 4&02/0 +&5-3.,."&)9 >!/+< .!"# &-."&) ,)2 +'"+< ]^c_ .& +&5-3./+&).&30 '")/# ,*,")9 !/ -0&*0,5 ("'' .01 .& 5")"5"7/ .!/ +&5-3.,."&)4&02/0#6 #& .!,. .!/ .0",)*'/# (".! ,) /b+/-."&),''1 '&)* #"2/ ("'' 4/0/5&8/2 ,3.&5,."+,''19 !"# (,1 (/ +,) ,8&"2 +&))/+."&) 4/.(//) 2"#.,).-&").#6 &)/# .!,. (/ 2& )&. )//2 .& +&))/+.9

F&./P !"# &-."&) "# 4,#/2 &) .!/ 5,.!/5,."+,' +&5-3.,."&) ") (!"+!.!/ -0&*0,5 2/%")/# %&0 /,+! ,)2 /8/01 -0&E/+. (!,. ".# `'&)*/#. #"2/a"#6 ,++&02")* .& .!/ 2/)#".1 &% .!/ -0&E/+. ,)2 .!/ ,8/0,*/ 2"#.,)+/4/.(//) .!/ -&").#9 !"# +&5-3.,."&) "# )&. ,'(,1# .!/ "2/,' #&'3."&)6 ")(!"+! +,#/ (/ ("'' .30) .& .!/ &.!/0 .&&'# /b-',")/2 ") .!"# +!,-./09

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3-26 \2+10+/X 2"#-',1")* .!/ +&).&30#_ 4&02/06 "% , 4&02/0 (,# 2/%")/2 41.!/ 3#/0 >"8"'>=: LMMN ("'' 2"#-',1 .!,. 4&02/0 &.!/0("#/s ". ("'' +,'+3',./.!/ 4&02/0 %&0 .!/ (!&'/ +&).&30# ,0/, ,)2 2"#-',1 ".9

!+04.0 .+"45,$0/ 25$;P .!/ +&).&30# ("'' )&. 4/ #!&() &) .!/ 20,(")*6 43.

.!/ -0&*0,5 ("'' 43"'2 .!/ .0",)*3',."&) 5&2/' ") .!/ +&5-3./0_# 5/5&016

.!/0/%&0/ >"8"'>=: LMMN ("'' 4/ ,4'/ .& 2& ,)1 +,'+3',."&) ") .!/ -0&E/+./8/) "% .!/ +&).&30# ,0/ ")8"#"4'/9

3922.-P C5&&.!")* .!/ +&).&30 '")/# Q !/ -0&*0,5 +0/,./#6 41 2/%,3'.6/b,+. +&).&30 '")/# ,++&02")* .& .!/ .0",)*'/# .!,. (/0/ %&05/29 d&3 +,)&02/0 .!/ -0&*0,5 .& `#5&&.!a .!/#/ +&).&30#9 & 2& #& +!/+< ]j_ ") .!"#%"/'2 ,)2 +'"+< ^c9

F&./P =%./0 `#5&&.!")*a6 .!/ +&).&30# 1&3 0/+/"8/ ("'' 4/ '/##

,++30,./93922.-"5, $0#0$ Q d&3 +,) +!&&#/ .!/ '/8/' &% #5&&.!)/## %&0.!/ +&).&30 '")/# 41 #/'/+.")* ". %0&5 .!/ >&54&B&b @)/,0 .!/rC5&&.!r ',4/'A9 !/0/ ,0/ RM -&##"4'/ '/8/'#9 B1 +!&&#")* ,'&(/0 '/8/' .!/ 0/#3'. ("'' 4/ '/## #5&&.! 43. 5&0/ ,++30,./ ,)28"+/ 8/0#,9 G'/,#/ )&."+/ .!,. .!/ -0&+/## ") '&(/0 '/8/'# ("'' 4/53+! #'&(/09

L4^ @5.0+:2$4."25 J05,.- Q :/%")")* .!/ 5,b"535 '/)*.! %&0")./0-&',."&)P >"8"'>=: LMMN +0/,./#6 41 2/%,3'.6 .0",)*3',0 ")./0-&',."&)4/.(//) ,'' /b"#.")* -&").#9 d&3 +,) 2/%")/ 5,b"535 2"#.,)+/ %&0 .!/-/0%&05,)+/ &% .!"# ")./0-&',."&)9 >!&&#/6 %&0 /b,5-'/6 , 8,'3/ &% uM5/./0 @.!/ (&0< 3)".# %&0 , %"/'2 ,0/ ") 5/./0#A6 ,)2 +'"+< ^c9 !/ -0&*0,5("'' -/0%&05 ")./0-&',."&) &)'1 4/.(//) .!/ -&").# .!,. .!/ 2"#.,)+/4/.(//) .!/5 "# )&. &8/0 uM 5/./0#9 !"# (,1 1&3 +,) 0/5&8/ 3)(,)./2.0",)*'/#6 #")+/ .!/1 !,8/ , #"2/ .!,. &8/0-,##/# .!"# 2"#.,)+/9

J) &02/0 .& 3#/ ,)1 &)/ &% .!/ &-."&)# 5/)."&)/2 ,4&8/6 +!/+< ]8_ )/b. .& .!/&-."&) ,)2 -0/## =--'19 !/ -0&*0,5 ("'' +&5-3./ .!/ +&).&30# ,++&02")* .&.!/ 2/%")"."&) .!,. !,8/ 4//) #/.6 ,)2 20,( .!/59 J% #3+! +&).&30 '")/# ,'0/,21/b"#. %0&5 -0/8"&3# 2/%")"."&)#6 .!/ -0&*0,5 ("'' /0,#/ .!/5 ,)2 #!&( &)'1 .!/

)/( +&).&30#9

I"8Z -0",-. ; >0$0#4."25 $4\0$"5, "5 4 /:08"]"8 :$480P ") #&5/ +,#/# .!/

/'/8,."&) ',4/'")* +!&#/) 41 .!/ -0&*0,5 "# )&. #,."#%1")* &0 E3#. )&. *&&29J) #3+! +,#/# ". "# -&##"4'/ .& ,22 /'/8,."&) ',4/'")* ") .!/ %&''&(")* (,1P

n,0< ]G"+<_ ,)2 5&8/ .& .!/ 20,(")* ,0/,9 >0/,./ , '")/ 4/.(//) ,)1.(& -&").# @+'"+< 1&30 5&3#/ 43..&)6 !&'2 ,)2 5&8/ .& .!/ )/('&+,."&)A6 #& .!,. ". ("'' +3. ,+0&## , )354/0 &% +&).&30 '")/#9 =%./0 .!/'")/ (,# 20,()6 /'/8,."&)# ("'' 4/ ,3.&5,."+,''1 20,() ,. .!/ +0&##

#/+."&)# &% .!/ +&).&30#9 d&3 +,) ,'#& ,8&"2 ',4/'")* 3)(,)./2/'/8,."&) ',1/0# 41 2&")* .!/ %&''&(")*P /)./0 .!/ ',1/0# ,)2 %0//7/ .!/

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&)/# %&0 (!"+! 1&3 2&)_. (,). .& 20,( /'/8,."&)#9 Z& 4,+< .& .!/>&).&30# D")2&( ,)2 +!&&#/ ]-"+< !/"*!._ ,*,") ") &02/0 .& 20,( .!/")./0#/+."&) '")/9 F&( .!/ /'/8,."&)# ("'' 4/ ',4/'/2 &)'1 %&0 .!/ ',1/0#

.!,. ,0/ )&. %0&7/)9 D!/) .!/ ',4/'")* "# %")"#!/26 0/.30) .& .!/ %0&7/)',1/0# .& `8"/(a 5&2/9 !/ ',1/0# ("'' 0/.30) .& .!/ 20,(")*6 (".!&3. .!//'/8,."&) ',4/'")*9

Command buttons from the contours window: 

D/ ("'' 2"#+3## .!/ %3)+."&)# &% .!/ 43..&)# .!,. ,--/,0 ") .!/ >&).&30#D")2&(P

>9:-4/"b0/ !25.2W+/ "5/.45.$;P >'"+< .!"# 43..&) .& 20,( , 1/''&( '")/,0&3)2 .!/ >&).&30 H")/# ,0/, @7&)/A9 & /0,#/ .!/ '")/ +'"+< 9

>+4/0/ .-0 :2"5./ $"/. .-4. 10]"50 .-0 825.2W+/ +45,0 Y]"0$1 2] 4+04[X +'"+< .!"#"+&) .& /0,#/ .!/ -&").# '"#. .!,. 4&02/0 .!/ +&).&30# 4&02/0 9 d&3 ("'' 4/0/.30)/2 .& .!/ #.,./ &% +&5-3.")* .!/ /)."0/ ,0/,9

>+4/0/ 4 :2"5. ]+29 .-0 $"/. &% -&").# .!,. 2/%")/ .!/ +&).&309 n,0< .!/

-&"). 1&3 (,). .& 2/'/./ %0&5 .!/ '"#. ,)2 +'"+< .!"# "+&)9 >'"+< &) .&

+&)%"05 .!/ +!,)*/ ,# %"),'9

30. P =%./0 /,+! +!,)*/ 1&3 5,</ ") .!/ +&).&30# +&5-3.,."&) 4&02/0#6+'"+<.!"# "+&) .& 8,'"2,./ 1&30 +!&"+/9

D:05 D:."25/ P"5126 P ^-/) .!/ +&).&30# C.,.3# J)2/b9 C// 2/.,"'# &)]^-."&)#_ %0&5 .!/ +!,-./0 ]C/..")*#_9

Setting options 

 =+."8,./ .!/ &-."&)# D")2&( 41 +'"+<")* .!/ &-."&)# "+&) @   A9 !/#/ ,0/ .!/&-."&)# ,8,"',4'/ &) .!/ (")2&( @.!/ +&).&30# &-."&)# ("'' ,--/,0 ,. .!/3--/0;'/%. +&0)/0 &% .!/ (")2&(AP

%W.2 0$0#4."25/ Q D!/) .!"# &-."&) "# +!/+</26 .!/ -0&*0,5 ("'',3.&5,."+,''1 ,##"*) .!/ )354/0")* &% .!/ +&).&30 '")/# ,++&02")* .& .!/-',)9 g/5&8")* .!"# &-."&) ,)2 03))")* .!/ +&).&30# +&5-3.,."&) &)+/,*,") ("'' 0/#3'. ") .!/ 20,(")* +&).&30# (".!&3. .!/"0 /'/8,."&) +&5-3.,."&)',4/'9 C")+/ .!/ +&).&30 '")/# ,0/ 2"8"2/2 ").& ',1/0# ,++&02")* .& ")./08,'#6". "# /,#1 .& 2/%")/ %&0 (!"+! ',1/0# .!/ /'/8,."&) ("'' 4/ (0"../) ,)2 %&0

(!"+! )&.9 !"# ("'' 4/ 2"#+3##/2 ") .!/ +&30#/ &% .!"# +!,-./09

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R+48Z0./ Q !"# &-."&) ("'' +,3#/ #[3,0/ 40,+</.# .& ,--/,0 ,0&3)2 .!//'/8,."&) ',4/'")* &% .!/ +&).&30#9 !"# (,1 1&3 +,) 2"%%/0/).",./ 4/.(//)/b"#.")* ,)2 2/#"*)/2 +&).&30#9

K2+94. MhhN; .!"# &-."&) #"*) ("'' 5,</ .!/ /'/8,."&) ',4/'")* ") %&05,. xx9\&0 /b,5-'/ Q (!/.!/0 .!/ /'/8,."&) ',4/' f9LW (,# (0"../) ") , 5,0</2 &03)5,0</2 %&05,.6 ". ("'' ,'(,1# 4/ (0"../) ,# f9LW9 ^) .!/ &.!/0 !,)26 "%.!/ ',4/'")* "# f9LM6 .!/ ',4/'")* +,) 4/ 8"/(/2 ") .(& 2"%%/0/). (,1#PD".!&3. .!/ &-."&) .!/ /'/8,."&) ("'' 4/ Q f9LD".! .!/ &-."&) ". ("'' 4/ Q f9LM

384$0 Q >!&&#")* .!/ ./b. %&). #"7/9 !/ ./b. !/"*!. ("'' 4/ ,++&02")* .& .!/

*/)/0,' #+,'/ #/..")*# @%&0 5&0/ 2/.,"'# -'/,#/ 0/%/0 .& r>!,-./0 LS6>&)%"*30,."&)# (")2&(rA9

F&./P :30")* .!/ -0").")* -0&+/##6 .!/ ',4/'")* ("'' 4/ -0")./2 ,# ". "# 8"/(/2 ").!/ (")2&(9 !/ %&). #"7/ RMM "# +&5-,."4'/ %&0 -0").")* &) .!/ #+,'/ &%,--0&b"5,./'1 RPRMM9

Contour lines layers

!/ +&).&30 '")/# ,0/ 2"8"2/2 ").& ',1/0# ,++&02")* .& .!/ ")./08,'# 4/.(//).!/59 \&0 /b,5-'/ ; ,'' +&).&30 '")/# (".! ")./08,'# &% R 5/./0 ("'' 4/ *0&3-/2.&*/.!/0 ").& &)/ ',1/0 @RMM6 RMR6 RML /.+9A9 d&3 +,) +&).0&' .!/ +&).&30

',1/0#9 !/ 2"8"#"&) ").& ',1/0# "# 2/-/)2,). &) .!/ ")./08,'# 4/.(//) .!/+&).&30# .!,. (/0/ 2/./05")/2 230")* .!/ +&5-3.,."&)9 J) .!/ ^-."&)# D")2&(,--/,0# .!/ ',4/'P ]H,1/0#_9 !"# "# , H,1/0 +&).&30# #+,'/ @*0,-!AP

Y,+! )354/0 0/-0/#/).# , 2"%%/0/). ',1/09 d&3 +,) 40&(#/ 4/.(//) ',1/0# 415,0<")* .!/ ',1/0 1&3 (,). 3#")* 1&30 5&3#/9 !/ &.!/0 2/.,"'# .!,. ,--/,0 ")

.!/ %0,5/6 0/-0/#/). .!/ +!,0,+./0"#."+# &% .!/ !"*!'"*!./2 ',1/09 D/ ("'' )&(2"#+3## .!/#/ +!,0,+./0"#."+#P

@5.0+#4$/ QJ)./08,'# ") +&).&30 '")/#9 =# ,%&0/#,"26 (/ 2"8"2/ .!/ +&).&30#

.& ',1/0# ,++&02")* .& .!/ ")./08,'# 4/.(//) .!/59 J) .!/ ]J)./08,'#_ D")2&(1&3 +,) +!,0,+./0"7/ /,+! ',1/0 41 2/./05")")* (!"+! +&).&30# ("'' /)./0".9 J%6 %&0 /b,5-'/ 1&3 /)./0 M9W6 ,'' +&).&30# (".! ")./08,'# &% M9W ("'' /)./0.!"# ',1/09 = 7/0& ")./08,' ("'' )&."%1 .!/ -0&*0,5 .& ")+'32/ .!/ '")/# %&0(!"+! )& ',1/0# (/0/ 2/%")/26 ") .!/ M9W ',1/0 *0&3-9

J%6 %&0 /b,5-'/6 .!/ #/*5/).,."&) ").& ',1/0# "# #&P

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J)./08,' @nAH,1/0!" M

WR

RLM9LWf

MS

 =)2 1&3 ,#< %&0 +&).&30 '")/# /8/01 M9R 5/./0#6 ,'' +&).&30# .!,. 2& )&. 4/'&)*.& ,)1 ',1/0# @RMM9R6 RMM9L /.+9A6 ("'' 4/ -,##/2 &8/0 .& ',1/0 %&309

E5W/01 Q !"# &-."&) ("'' )/3.0,'"7/ .!/ 5,0</2 ',1/06 #& .!,. ". (&)_. 4/%&05/2 ,. ,''9 J%6 %&0 /b,5-'/6 1&3 (,). ,'' .!/ +&).&30 '")/# .& /)./0 &)/

',1/06 5,0< ") ',1/0 M6 7/0& ")./08,'#6 (!"'/ 5,0<")* ,'' &.!/0 ',1/0# ,#]3)3#/2_9

%W.2 >$0#4."25 Q =3.&5,."+ Y'/8,."&) ',4/'")*9 J% .!/ 5,") ]=3.& Y'/8,."&)_

&-."&) "# +!/+</26 .!/) ,'' /'/8,."&) ',4/'")* ("'' 4/ 2&)/ ,3.&5,."+,''19!"# ',4/'")* "# ,%%/+./2 41 .!/ ]=3.& Y'/8,."&)_ &-."&)9 \&0 , ',1/0 .!,.2&/#)_. )//2 ,3.&5,."+ /'/8,."&) ',4/'")*6 3)+!/+< .!/ 5,0<")* )/b. .& .!/',1/09 J%6 %&0 /b,5-'/6 1&3 2& )&. (,). =3.& Y'/8,."&) ',4/'")* %&0 ',1/0M9LW6 !"*!'"*!. .!"# ',1/0 ") .!/ '"#. @#,1 ". (,# 2/%")/2 ,# ',1/0 fA6 ,)2+,)+/' .!/ ]=3.& Y'/8,."&)_ )/b. .& ".9

Processing points to create contour lines 

!/ +0/,."&) &% +&).&30 '")/# "# 2/-/)2,).6 ,%&0/#,"26 &) .!/ 5/,#30/5/).-&").# &% .!/ -0&E/+.9 !/0/ 5"*!. 4/ -&").# ") 1&30 -0&E/+. .!,. 1&3 ("'' )&.(,). .& ")+'32/ ") .!/ +0/,."&) &% +&).&30 '")/#9 !/0/ ,0/ , )354/0 &% (,1# &%2/,'")* (".! #3+! -&").#P

I2"5./ 6".-2W. 0$0#4."25 Q >"8"'>=: LMMN 2/%")/# -&").# (".! )&/'/8,."&)9 I)'"</ &.!/0 >=: .&&'#6 >"8"'>=: LMMN #/-,0,./# 4/.(//)

-&").# ,. /'/8,."&) M ,)2 -&").# &% )& /'/8,."&)9 >"8"'>=: LMMN ("''0/+&*)"7/ -&").# (".! )& /'/8,."&)6 ,)2 ("'' ,3.&5,."+,''1 /b+'32/ .!/5%0&5 .!/ +0/,."&) &% +&).&30 '")/#9

K+00b"5, :2"5./ Q d&3 +,) .!/ %0//7/ .!/ -&").# .!,. !,8/ /'/8,."&)6 1/.1&3 2& )&. (,). .& ")+'32/ ") .!/ +0/,."&) &% +&).&30 '")/#9 \0//7")* .!/-&").# +,) 4/ 2&)/ ") .(& (,1#P

,9 K+29 .-0 $"/. @#// 2/.,"'# ") +!,-./0 `>&&02"),./#2,.,4,#/ ; "+&)# .!,. ,%%/+. .!/ '"#. ,)2 ,0/+&))/+./2 .& ".aA9

49 K+29 .-0 1+46"5, @#// +!,-./0 `>&&02"),./2,.,4,#/ ; 20,(")* +&55,)2# ,%%/+.")* .!/ '"#.aA9

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H/. 3# 0/8"/( .!/ -0&+/## &% %0//7")* , -&").P

>'"+< &) .!/ (&02 ]%0//7/_ %0&5 .!/ '"#. &% %3)+."&)# ") .!/ 4&..&5 (")2&(9n&8/ 1&30 +30#&0 .& .!/ 20,(")* ,0/, ,)2 +,-.30/ &)/ &% .!/ -&").# 1&3("#! .& %0//7/9 d&3 ("'' )&."+/ .!,. .!/ -&"). !,2 4//) '&+,./2 ") .!/4&..&5 '"#. ,)2 .!,. .!/ (&02 6_w\0l_ !,# 4//) ,22/2 4/#"2/ ".9

>'"+< &) ,)2 1&3 ("'' 4/ ,4'/ .& 8"/( .!/ `%0//7")*a ") .!/ 20,(")*9^-/) .!/ +&).&30 '")/# 20,(")* (")2&( ,)2 -/0%&05 '")/ +&5-3.,."&)9

d&3 ("'' 4/ ,4'/ .& )&."+/ .!/ +!,)*/ 2&)/ .& .!/ +&).&30 '")/# ,++&02")* .&.!/ -&"). 1&3 !,8/ %0&7/)9 J% 1&3 ,22 .!/ ")./0-&',."&) .0",)*'/# 20,(")* .& .!/+&).&30 '")/ +&5-3.,."&)6 1&3 ("'' #// .!,. .!/ .0",)*'/# !,8/ 4//) 0/;

,00,)*/2 ") &02/0 .& &8/0'&&< .!/ %0&7/) +&&02"),./9

!4580$"5, 822+1"54.0/ "5 .-0 1+46"5, Q !/0/ 5,1 4/ -&").# ") .!/ '"#.

.!,. 1&3 ("'' )&. (,). .& #// ") .!/ 20,(")*9 I)'"</ .!/ %0&7/) -&").#6 .!/#/-&").# ("'' )&. ,--/,0 ") .!/ 20,(")* ,)2 ("'' )&. 4/ ")+'32/2 ") .!/ +&).&30'")/# +&5-3.,."&)9 J) &02/0 .& 0/5&8/ , -&"). %0&5 .!/ 20,(")*6 1&3 53#.-/0%&05 .!/ %&''&(")* #./-# P

n,0< .!/ 2/#"*)/2 -&"). %0&5 .!/ 4&..&5 '"#. &% -&").#9C.,)2 &) .!/ -&").# /2".")* '")/6 4/%&0/ .!/ 2/#"0/2 -&"). ,)2 ,22 .!/ `ea5,0< ,. .!/ 4/*"))")*9

>'"+< &) ,)2 .!/ -&"). ("'' 4/ /0,#/2 %0&5 .!/ 20,(")*9

K+00b"5, 4 :2"5. \; "./ 8210 Q Y8/) "% 1&3 2&)_. (,). .& +!,)*/ .!/ -&").&0 ".# &0"*"),' ),5/ ") .!/ 20,(")*6 1&3 5"*!. #."'' )&. (,). ". .& ,%%/+. ".#+&).&309 J) .!"# +,#/ 1&3 +,) %0//7/ .!/ -&"). 41 *"8")* ". , +&2/9 !/ -&").+&2/ ("'' ,--/,0 ") .!/ %"%.! +&'35) &% .!/ -&"). @,%./0 .!/ /'/8,."&)A9g/5/54/0 .!,. .!/ -&"). .!,. 1&3 (,). .& +&2/ 53#. !,8/ #&5/ <")2 &%/'/8,."&) @". +,) /8/) 4/ 7/0&A9 !/ +&2/ ,22/2 .& .!/ %0&7/) -&"). ("'' 4/`\ga9

I$04/0 /00 .-0 /49:$0 \0$26X^30 -&"). "#P RW RqWfSu9fL RquqLN9qu RWf9RS

 =22 .!/ `\ga +&2/ ") .!/ %&''&(")* 5,))/0 QRW RqWfSu9fL RquqLN9qu RWf9RS \g9

>'"+< &) .!/ ]g/&02/0 -&").#_ 43..&) @.!/ 43..&) (".! .!/ .(& 4'3/ ,00&(#%0&5 .!/ 4&..&56 .& 5,</ .!/ +&2/ ,--/,0 ") .!/ -0&-/0 +&'35)A9

>'"+< &) .& 3-2,./ .!/ 20,(")*9& 8"/( .!/ +!,)*/6 *& 4,+< ,)2 +&5-3./ 5&0/ +&).&30 '")/#9

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Breaklines 

A49"5, 451 10]"5"5, .-0 :+2\$09P = 40/,<'")/ "# ,+.3,''1 , */&5/.0"+2/%")"."&) &% , '")/ .!,. ("'' )&. ,''&( .(& -&").# .!,. ,--/,0 &) &)/ #"2/ &% .!/'")/ ,)2 .!/ &.!/06 .& %&05 , .0",)*'/6 230")* .!/ +&).&30 .0",)*'/ ")./0-&',."&)&% .!/ +&).&30 '")/# #.,*/9

!"# /b,5-'/ &% , #308/1/2 0&,2 ("'' +'/,0 .!")*# 3-P

\0&5 .!"# 2",*0,5 1&3 +,) "55/2",./'1 ./'' .!,. .!/ +&).&30 '")/# 0/+/"8/2 ,0/)&. +&00/+.9 J% 1&3 '&&< ,. .!/ .0",)*'/ ")./0-&',."&) @#// )/b. 2",*0,5A .!,. (,#5,2/ %&0 .!"# 0&,26 1&3 +,) ./'' .!,. ". "# ,'#& )&. +&00/+.9 ,</ %&0 /b,5-'/-&").# u6 q6 W6 ,)2 RW9 !/ ")./0-&',."&) .!,. (,# 0/+/"8/2 %&0 .!/#/ -&").# "#%&0 .0",)*'/#P u6q6RW ,)2 W6RW6q9 G&"). q "# ,) /'/8,./2 -&").6 ,)2 1&3 ("'' )&.)/+/##,0"'1 (,). -&"). RW .& +&))/+. .& ".9D/ (&3'2 '"</ .!"# ")./0-&',."&) .& 4/ 5,2/P W6RW6u ,)2 W6 q6 u9

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R9 :/%")")* .!/ H")/# Q =) /b,5-'/P (/ ("'' )&( 3#/ 40/,<'")/# .& #&'8/.!/ -0&4'/59 & +&).")3/ .!/ 2"#+3##"&) ,)2 03) .!"# /b,5-'/6 &-/) ,)/( -0&E/+. ,)2 .1-/ ") .!/ %&''&(")* '"#. P

RSq9SWRqLL9fSRffS9uXRRSq9XRRqLM9MMRffu9NSLRWR9uSRqRX9uLRffu9SWfRSN9qSRqRX9WXRfSS9fXSRWM9RMRqRu9SNRfWW9RqWRWR9RWRqRL9uLRfuf9quuRWR9fNRqRf9qWRfWu9NXqRWf9NLRqRf9uNRfWu9fNNRSu9NfRqLN9qWRfff9LfXRSu9XWRqfM9NNRfff9uSRM

RSX9XSRqfM9NNRfff9qRRRRSX9ufRqLf9uMRfWL9fRRLRSX9qWRqLS9XNRfWL9NMRfRWL9uuRqLW9LXRfWS9fqRSRWR9RMRqRX9MLRfuS9fNRWRWR9RfRqLM9SLRfuW9WMRuRWf9MXRqLM9uRRfuu9SLRq

 =%./0 1&3 &-/) , )/( -0&E/+. Q &-/) .!/ B0/,<'")/# D")2&( ,)2 *& .& Q&-&*0,-!1;lH")/#9 !/ B0/,<'")/# D")2&( ("'' ,--/,0 %0&5 .!/ 0"*!.9 !"#(")2&( "# 2"8"2/2 ").& .(& #/+."&)# @%&0 5&0/ 2/.,"'# #// >!,-./0 W Q ]H")/#>&))/+."&)#_A

!/ 4&..&5 (!"+! +&).,")# .!/ 40/,<'")/# '"#. ,)2 /),4'/# +!,)*/# ").!/ '"#.6 #3+! ,# 2/'/.")* ,) /)."0/ '")/6 #,8")* %"'/# ,# 92"# .1-/ %"'/#,)2 5&0/9!/ .&- (!"+! #!&(# .!/ !"*!'"*!./2 '")/ @.!/ #,5/ '")/ .!,. "#!"*!'"*!./2 ") .!/ '")/# H"#.A ,)2 /),4'/# .& 5,</ +!,)*/# #3+! ,#,22")* ,)2 2/'/.")* -&").# %0&5 ".9

&0]"5"5, R+04Z$"50/

&0]"5"5, \+04Z$"50/ W/"5, MJ284.0N .2 8-22/0 .-0 :2"5./ ; (!/) .!"#(")2&( "# &-/)/26 , )/( '")/ 41 .!/ ),5/ &% R ("'' &-/) ,3.&5,."+,''19 >'"+<&) ]H&+,./_ %0&5 .!/ &-."&)# '"#. ") .!/ 3--/0 (")2&( .& *& .& .!/ 20,(")* ,0/,6,)2 5,0< , '")/ 4/.(//) +&&02"),./# W ,)2 u @5,0< .!/ '")/ 41 +,.+!")* %"0#.

-&"). W6 ,)2 .!/) uA9 D!/) 1&3 %")"#!6 +'"+< &) .!/ 43..&) .& #/. .!/ '")/@=3.&>=: 3#/0# +,) +'"+< &) ]C_ %0&5 .!/ =3.&>=: +&55,)2 '")/A9

!"# 2/%")"."&) &% 40/,<'")/ ("'' +&5-/' .!/ -0&*0,5 .& -/0%&05 .!/ +&00/+.")./0-&',."&) .!,. ("'' #&'8/ .!/ -0&4'/5 @.& 0/-/,. .!/ ")./0-&',."&) 1&3 ("''!,8/ .& 03) .!/ +&).&30 '")/# &)+/ ,*,")A9 >&).")3/ .& 2/%")/ 5&0/ '")/# P

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>'"+< &) 43..&) %0&5 .!/ 4&..&5 &% .!/ 40/,<'")/# (")2&(9 = )/( '")/ ("''&-/) @'")/ )354/0 LA9 :/%")/ .!"# '")/ 4/.(//) -&").# RW6RL6X @+'"+< ,*,") &)

]H&+,./_ ,)2 5,0< .!/ -&").# ,++&02")* .& &02/09 :&)_. %&0*/. .& +'"+< &)(!/) 1&3 %")"#!A9

&0]"5"5, \+04Z$"50/ \; .;:"5, "5 :2"5. 5490/ Q &-/) , )/( '")/ ,)2 2/%")/".B/.(//) -&").# R6S6W9 =%./0 &-/)")* , )/( '")/6 5&8/ (".! 1&30 5&3#/ .& .!/./b. '")/ ,. .!/ .&- &% .!/ (")2&( ,)2 -&"). .& ".9 1-/ .!/ )354/0 ]R_ ,)2 +'"+<]Y)./0_9 >&).")3/ .& .1-/ .!/ +&&02"),./# S ,)2 W9 D!/) 1&3 %")"#!6 +'"+< ]C/._9D/ !,8/ %")"#!/2 2/%")")* .!/ 40/,<'")/#9 Z& .& ]&-&*0,-!1 ;l >&).&30#_ ,)2+!&&#/ .!/ ")./08,'# M9W6 ,)2 +'"+< ]=--'19 !/ )/( 40/,<'")/# ("'' 4/+,'+3',./2 ,)2 1&3 ("'' 0/+/"8/ .!/ %&''&(")* 2",*0,5P

d&3 +,) +&5-'/./ .!/ 2",*0,5 41 2/%")")* , #-/+"%"+ 0,)*/ %&0 .!/ 40/,<'")/#@,# (,# /b-',")/2 ") .!/ #/+."&) `B,#"+ "##3/# ,)2 .!/ 2/%")")* &% 40/,<'")/#0,)*/a9

&0]"5"5, \+04Z$"50/ W/"5, I2$;$"50 @.!"# &-."&) /b"#.# %&0 =3.&>=: 3#/0#

&)'1A9J) ,22"."&) .& .!/ .(& -0/8"&3# &-."&)#6 1&3 +,) ,'#& 2/%")/ , 40/,<'")/ 41+!&&#")* f: G&'1'")/ %0&5 =3.&>=: @.!/ 40/,<'")/# !,8/ .& 4/ f: G&'1'")/#64/+,3#/ G&'1'")/# ") .(& 2"5/)#"&)# +,))&. #/08/ ,# #3+!A9 & 3#/ .!"#&-."&)6 %&''&( .!/#/ #./-#P

:0,( , f: -&'1'")/# ") =3.&>=: .!,. ("'' 4/ 3#/2 ,# 40/,<'")/#9 @1&3 +,)3#/ ^4E/+. C),- %&0 F&2/ ,)2 +&))/+. 4/.(//) .!/ -&").# >"8"'>=: LMMN!,2 +0/,./2A9Y)./0 .!/ ]&-&*0,-!1 H")/#_ (")2&( ,)2 +!&&#/ ]#/'/+._ %0&5 .!/ (")2&(&) .!/ 0"*!.9n&8/ .& .!/ =3.&>=: 20,(")* ,0/, ,)2 +!&&#/ .!/ '")/ 1&3 (,).9 >'"+<]Y)./0_9 !/ '")/ ("'' 4/ 0/+&02/2 ") .!/ 0"*!. (")2&(9

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^-/) , )/( '")/ @ 43..&)A ,)2 +!&&#/ .!/ )/b. '")/9

>&).")3/ ,)2 +!&&#/ ,'' 1&30 #/'/+./2 '")/#9

>^:451"5, .-0 8+04."25 2] \+04Z$"50/X 

>0/,.")* 40/,<'")/# %&0 -&").# (!"+! (/0/ )&. 5/,#30/2 @2& )&. /b"#. ") .!/%"'/A9 ^++,#"&),''1 1&3 ("'' )//2 .& 20,( 40/,<'")/# %&0 -&").# .!,. !,8/ )&.4//) 5/,#30/2 @/9*9 43"'2")* 4&02/0# /.+9A9 J) .!"# +,#/ 1&3 ("'' )//2 .&5,)3,''1 ,22 .!/ -&").# .& .!/ %"'/ ") &02/0 .& +&))/+. .!/59 & 2& #& -'/,#/ %&''&( .!/ #./-# 4/'&(P 

g3) .!/ +&).&30 '")/# ") .!/ -0&E/+. ,# 3#3,'9I#/ ]-"+<_ %0&5 .!/ 4&..&5 (")2&( ,)2 +!&&#/ .!/ -&").# 1&3 (,). .& ,22@%&0 , 0/8"/( &% .!"# ,+."&) #// .!/ #/+."&) Q `>&&02"),./# :,.,4,#/ ;:0,(")* +&55,)2# ,%%/+.")* .!/ '"#.aA9 C")+/ 1&3 ,0/ (&0<")* &) , .!0//;2"5/)#"&),' 4,+<*0&3)2 &% +&).&30 '")/#6 .!/ +!&#/) +&&02"),./# ("'',3.&5,."+,''1 */. .!/ ,'.".32/ &% .!/ /b"#.")* 5&2/'9

>'"+< &) ]   _ .& 0/%0/#!9 Z& .& &-&*0,-!1 ;l >&).&30# ,)2 +&))/+. .!/ 40/,<'")/# 4/.(//) .!/+&&02"),./# .!,. (/0/ %&05/29

>0/,.")* *0&3-# &% 40/,<")* '")/# %0&5 ,) =3.&>=: ',1/0 Q #// +!,-./0`:/,'")* (".! :DZ %"'/# Q /b.0,+.")* +&&02"),./# ,)2 '")/# %0&5 , :DZ%"'/a9

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Chapter 5: Lines

connections

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Lines connections

>"8"'>=: LMMN 5,</# ". -&##"4'/ .& 2/%")/ 5/,#30")* '")/# Q '")/# 3#3,''12/%")/2 ,# 40/,<'")/#9 !"# +!,-./0 ("'' /b-',") !&( .& 2/%")/ .!/#/ '")/# 3#")*#/8/0,' 2"%%/0/). 5/.!&2#9 D!"'/ (/ ("'' 4/ 0/%/00")* ") .!"# +!,-./0 .& ]Yb"#.")*#.,.3#_ 40/,<'")/#6 ,'' ,+."8,."&)# 2/#+0"4/2 ,0/ 0/'/8,). .& ]:/#"*) #.,.3#_5/,#30")* '")/#9

!/ .&-"+# ") .!"# +!,-./0 ,0/P

:/%")")* 5/,#30")* '")/#9>!,)*")* .!/ '")/# 2/%")"."&)9

>&55,)2# %0&5 ]&-&*0,-!1e:/#"*) '")/#_ (")2&(9\"'./0")* '")/# %0&5 , :DZ %"'/9

Defining measuring lines 

>"8"'>=: LMMN #&%.(,0/ !,# , %/( 2"%%/0/). (,1# .& 2/%")/ 5/,#30")* '")/#9I#")* .!"# /b,5-'/ ("'' #!&( !&( .& 2/%")/ .!/ 5/,#30")* '")/# ") , -0&E/+.")+'32")* ,'' -&##"4'/ &-."&)# @(!"'/ .!"# #,5-'/ 0/%/0# .& .!/ +0/,."&) &%5/,#30")* '")/# %&0 M>^"/."5,N #.,.3#6 ". "# ,'#& 0/'/8,). .& M&0/",501N #.,.3#5/,#30")* '")/#A9

R9 \0&5 5/)3 ,+."8,./ ]?2:2,+4:-; ac J"50/N L9 J) .!/ ]H")/# '"#._ @3)2/0 .!/ !/,2")* ]H")/# '"#._A 1&3 ("'' %")2 .!/ '"#. &%

'")/# (".! &)/ '")/ ,)2 )& -&").#9 :/%")/ .!"# '")/ 3#")* &)/ &% .!/%&''&(")* 5/.!&2#P

MJ284.0N Q >'"+< &) MJ284.0N6 *& .& .!/ 20,(")* (")2&( ,)2 +'"+< &)-&").# .!,. ,0/ ,'0/,21 2/%")/2 ") .!/ -0&E/+. ,)2 ,0/ &) .!/ 20,(")*9 =%./0 +'"+<")* &) /,+! -&").6 .!/ -0&*0,5 ("'' ,22 .!/ ),5/ &% .!/ -&")..& .!/ -&").# '"#. @,. .!/ .&- &% .!/ ]&-&*0,-!1 '")/#_ (")2&(A9 !/#/-&").# 0/-0/#/). .!/ +300/). '")/ @5,0</2 ") 4'3/A %0&5 .!/ ]H")/# '"#._9

M30$08.N Q :/%")")* , '")/ 41 +!&&#")* , 20,() '")/ %0&5 .!/ 20,(")*9 =%./0 +'"+<")* &) M30$08.NO +!&&#/ , G&'1'")/ %0&5 .!/ 20,(")* @". "#-0/%/0,4'/ .!,. .!"# '")/ "# 2/%")/2 , f: G&'1'")/A6 ,)2 +'"+< ]Y)./0_9 !/-0&*0,5 ("'' +0/,./ )/( -&").# #.,0.")* (".! M&@3N ,)2 ,22 .!/5 .& .!/+&&02"),./# '"#.9 J) #/+."&) MK"$.0+"5, J"50/ ]+29 &PB K"$0/N ") .!"#+!,-./06 (/ ("'' #!&( !&( .& %"'./0 , )354/0 &% '")/# %0&5 , )354/0 &%',1/0# ") , #")*'/ +&55,)29?;:"5, :2"5. 5490/ Q J. "# ,'#& -&##"4'/ .& /)./0 .!/ -&"). ),5/#5,)3,''1 @"% .!/1 /b"#. ") .!/ +&&02"),./# '"#.A6 41 +'"+<")* &) MA490N ,)2 /)./0")* .!/ ),5/9 =%./0 /)./0")* ,'' .!/ ),5/# ,)2 +'"+<")*M>5.0+N6 .!/ -0&*0,5 ("'' 20,( .!/ '")/ &) .!/ 20,(")* ,++&02")* .& .!/

-&").#9 J% .!/0/ ,0/ #/[3/).",' -&").# @&% +&)#/[3/). ),5/#A6 %&0/b,5-'/P RMMM6 RMMR6 RMML6 RMMf6 ". "# -&##"4'/ .& /)./0 RMMM ,)2 RMMf

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,)2 +'"+< M>5.0+N9 !/ -0&*0,5 ("'' /)./0 ,'' .!/ -&").# #/[3/).",''1 ").!/ ]H")/# '"#._ ,)2 +0/,./ .!/ '")/9

:/%")")* g,2"3#/# Q J. "# -&##"4'/ .& 2/%")/ , 0,2"3# %&0 /8/01 '")/ 3#")*.(& &-."&),' #1#./5#P

R9 :/%")")* , 0,2"3# 41 /)./0")* ".# 8,'3/ 4/.(//) .(& -&").# ,)2.1-")* .!/ 0,2"3# 8,'3/ 3)2/0 M(I2"5./f=N6 ") .!/ #/+&)2 -&").#'")/ &% .!/ .(& -&").#9

L9 \&0 2/%")")* , 0,2"3# 41 .!0// -&").# &) , '")/6 /)./0 MGN ") .!/+/'' '&+,./2 &) .!/ 5"22'/ -&").# '")/ 3)2/0 MiI2"5./N6 41 2&34'/;+'"+<")* &) .!"# %"/'29

>'"+< &) .!/ 43..&) .& 2/%")/ .!/ '")/9 & 2/%")/ ,22"."&),' +'"+< &) ,)20/-/,. #/+."&)# L .&S9

 =%./0 +&5-'/.")* .!/ '")/ 2/%")"."&)6 M+0]+0/-N .!/ 20,(")* 41 +'"+<")*

 Q ,)2 .!/ )/( -&").# ,)2 '")/# ("'' 4/ ,22/2 .& .!/ 20,(")*9 !/ +&).&30 '")/#("'' 4/ 3-2,./2 41 ,+."8,.")* M?2:2,+4:-;ac!25.2W+/N ,)2 +'"+<")* &) .!/%::$; 43..&)9

Changing the lines definition

J. "# -&##"4'/ .& 2/./05")/ .!/ -0/#/).,."&) &% /,+! '")/ ") .!/ '")/# '"#.6 ,)2 .!//%%/+. ". ("'' !,8/ &) .!/ +&).&30 '")/#9 J) &02/0 .& 2/./05")/ .!/#/ #/..")*#65,0< .!/ 2/#"0/2 '")/ &0 '")/# %0&5 .!/ '")/# '"#.6 ,)2 +'"+< &) .!/ ^-."&)#

43..&) ; 6 .!/ &-."&)# (")2&( ("'' ,--/,0P

P0 6"$$ 0^:$4"5 .-0 2:."25/ "5 .-"/ 6"5126X

M?;:0N ; !/ -0/#/).,."&) &% .!/ '")/ &) .!/ 20,(")*M!25."5W0/N Q , #/[3/).",' '")/ @2/%,3'.AMK0580N Q , %/)+/ #"*)MJ0].V=",-. 8$"]]N Q , +'"%% #"*)9 !/ 2"0/+."&) &% .!/ +'"%% `/2*/#a ("'' 4/2/./05")/2 41 +!&&#")* MJ0].V2+ =",-.N9

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MJ0].V=",-. /$2:0N Q , #'&-/ #"*)9 !/ 2"0/+."&) &% .!/ +'"%% `/2*/#a ("''4/ 2/./05")/2 41 +!&&#")* MJ0].V2+ =",-.N9M&"/.4580/N Q .!/ 5,0<")* &% .!/ ")./05/2",./ 2"#.,)+/# 4/.(//) ,)2

,'&)* .!/ '")/ #/*5/).#9 !/ '/../0")* #"7/ ("'' 4/ 2/./05")/2,++&02")* .& MP"1.-N9

MJ4;0+N ; !/ ',1/0 ") (!"+! .!/ '")/# ,0/ %&05/29 =# 2/%,3'. .!/ -0&*0,5("'' +0/,./ ,'' .!/ '")/# ") &)/ ',1/09 >!&&#")* , 2"%%/0/). '")/ %&0 , +/0.,")'")/6 ("'' +0/,./ ". ") .!/ +!&#/) ',1/09

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Chapter 6: Area calculations

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General

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J284."25 2] 4 :$450 "5 .-0 1+46"5, Q 9 J) &02/0 .& '&+,./ , -',)/ ") .!/20,(")* ,0/,6 5,0< .!/ 2/#"0/2 -',)/ ,)2 +'"+< .!/ 43..&)9 !/ -',)/ ("''

4/ '&+,./2 ,)2 ".# 4&02/0# +&'&0/2 ") 1/''&(9 >'"+< ] _ .& 0/5&8/ .!/5,0<")*9

Display definitions

D/ !,8/ #!&() !&( .& 2/%")/ -',)/# ") .!/ -0&*0,59 F&( (/ ("'' #!&( 1&3!&( .& +!,)*/ .!/ +!,0,+./0"#."+# &% .!/ -',)/# ,# .!/1 ,0/ -0/#/)./2 ") .!/20,(")*6 ),5/'16 ") ,22"."&) .& .!/ ),5/ &% .!/ -',)/ (/ ("'' #!&( ".# ,0/,64&02/0 2"#.,)+/# ,)2 #& &)9

& +&).0&' .!/ -',)/# 2"#-',16 -'/,#/ -/0%&05 .!/ %&''&(")* #./-#PR9 J) .!/ G',)/# '"#.6 5,0< .!/ -',)/# %&0 (!"+! 1&3 ("#! .& +!,)*/ .!/

2"#-',19 & +!&&#/ , )354/0 &% -',)/#6 3#/ .!/ >.0'6 &0 C!"%. 43..&)#9

L9 >'"+< &) .!/ ^-."&)# 43..&) ; %0&5 .!/ (")2&( 9!/ &-."&)# (")2&( ("'',--/,0 &) .!/ G',)/# D")2&(9

f9 O/0/ ,0/ ,'' -&##"4'/ &-."&)# %0&5 .!"# (")2&(P?-0 ]25. /84$0 Q .& +!,)*/ .!/ -',)/ %&). #"7/ @-',)/ ),5/ #"7/6 .!/',4/'")* ,0/,6 ,)2 #& %&0.!A6 +'"+< &) .!/ #5,'' ,00&( .& .!/ 0"*!. &% ]:/%,3'._") .!/ ]C+,'/_ %"/'29 >!&&#/ 1&30 #"7/ %0&5 .!/ '"#. .!,. ("'' &-/) @.&8"/(e/2". #+,'/# .,4'/ #/'/+. %"'/;l+&)%"*30,."&)6 #/'/+. .!/ 20,(")*

/)8"0&)5/). .,4 ,)2 -0/## &) V#1#./5 #+,'/VA9!2$2+"5, .-0 4+04 Q C&'"2 h \"'' +&'&0 Q J% 1&3 ("#! .& +&'&0 .!/ 5,0</2,0/,6 1&3 ("'' %"0#. !,8/ .& 5,0< ". ,# C&'"29 =%./0(,02# 1&3 +,) +!&&#/ ,+&'&0 .& %"'' ") .!/ ,0/, 41 +'"+<")* &) .!/ #[3,0/ &% -,"). )/,0 .!/ ',4/' ]\"''+&'&0_9 >!&&#/ , +&'&0 %0&5 .!/ (")2&( .!,. &-/)#9I$450 A490/ Q .!/ -0/#/).,."&) &% .!/ -',)/ ") .!/ 20,(")* @.!"# &-."&) "#5,0</2 ,# 2/%,3'.A9%+04 Q -0/#/).")* .!/ ,0/, &% .!/ -',)/9I0+"90.0+  ; -0/#/).")* .!/ -/0"5/./0 &% .!/ -',)/9&"/.4580/ ; -0/#/).")* .!/ 2"#.,)+/ &% .!/ -',)/ 41 ".# -/0"5/./09A490/ 2] \2+10+ :2"5./ Q .!/ ),5/# &% .!/ -',)/ 4&02/0 -&").#9 G'/,#/

)&./ .!,. >"8"'>=: LMMN +0/,./# , ',1/0 &% 4&02/0 -&").# ,# -,0. &% .!//b"#.")* -&").# ',1/09 C!&(")* .!/ -&").# ),5/ ") .!"# &-."&) ("'' +0/,./.!/5 ") .!/ -',)/# 2,., ',1/06 ,)2 -&#"."&) .!/ -&").# ',4/'")* ") , (,1 .!,."# 5&0/ +&)8/)"/). ,)2 /,#1 .& 0/,29>$0#4."25/ 2] \2+10+ :2"5./ Q -0/#/).")* .!/ /'/8,."&)# &% .!/ 4&02/0-&").#9!"+8$01 Q .!/ 20,(")* &% +"0+'/# ,0&3)2 .!/ -',)/_# 4&02/0 -&").#9R2+10+ 822+1"54.0/ Q -0/#/).")* .!/ )/,0 +&&02"),./# 4&02/0 -&").#9

& +!,)*/ .!/ 2"#-',1 #.,.3#6 5,0< ]j_ ") .!/ 0/[3/#./2 %"/'2# ,)2 +'"+<^c9 & +'&#/ .!/ (")2&( (".!&3. 5,<")* ,)1 +!,)*/#6 +'"+< ]>,)+/'_9

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Summarizing table

^)+/ 1&3 !,8/ %")"#!/2 2/%")")* .!/ -',)/#6 1&3 +,) 0/+&02 .!/5 ") ,#355,0"7")* 0/-&0.9

R9 Z& .& ]Y,0.!(&0<# ;l &-&9G',)/#_ %0&5 .!/ .&- 4,09 = (")2&( ("'' &-/)%0&5 .!/ 0"*!. (".! ,'' .!/ 2,., ") , #355,0"7")* .,4'/9

L9 >'"+< ]=--'1_ .& 0/+/"8/ .!/ G',)/# g/-&0.9 J) .!/ .&- -,0. &% .!/ (")2&(,--/,0# .!/ '"#. &% -',)/# (".! .!/ (&02 ]&.,'_ ,. .!/ /)29 D!/) .!"#(")2&( "# &-/)/26 .!/ '"#. "# ,3.&5,."+,''1 5,0</2 @+&'&0/2A9 D!/) .!/&02/0 .& #!&( .!"# .,4'/ "# *"8/)6 @.!/ 0/-&0.;41 +'"+<")* =--'1A 6 , .,4'/ ("''4/ +&5-3./2 ,)2 #!&() %&0 .!/ 5,0</2 -',)/# &)'19 J% 1&3 ("#! .& ),00&(.!/ .,4'/6 1&3 ("'' )//2 .& 5,0< &)'1 .!/ -',)/# 1&3 (,). ,)2 +'"+< ]=--'1

,*,")9 !/ (&02 .&.,' #"*)"%"/# (!/.!/0 .& ").0&23+/ .!/ #355,0"7")* '")/ ,..!/ /)2 &% .!/ .,4'/ &0 )&.9

f9 I+0/05. .-0 :$450/ .4\$0 25 .-0 1+46"5, ;^)+/ +'"+</26 .!"# 43..&) ,22# .!/ [3,).".1 .,4'/ .& .!/ 20,(")*9 >'"+< .&*& .& .!/ 20,(")* ,0/,6 ,)2 +!&&#/ , '&+,."&) %&0 .!/ .,4'/P

I#/0# &% #.,)2 ,'&)/ 8/0#"&) Q G&#"."&) .!/ .,4'/ ,)2 +'"+< 1&30 5&3#/9!/ .,4'/ ("'' ,--/,0 ,. .!/ +!&#/) '&+,."&) 9=3.&>=: 3#/0# G&#"."&) .!/.,4'/ ,)2 +'"+< 1&30 5&3#/ = ./5-&0,01 1/''&(%0,5/ ("'' ,--/,0 ,. .!/ +!&#/) '&+,."&)9 J% 1&3 ("#! .& +!,)*/ .!/ '&+,."&)

&% .!/ .,4'/6 +!&&#/ , )/( '&+,."&) ,)2 5&3#/ +'"+< ,*,")9 =%./0 +!&&#")*, )/( '&+,."&)6 /)./0 `Ca @&-."&) ]C/.aA ") .!/ =3.&>=: +&55,)2 '")/9 !/.,4'/ ("'' 4/ %&05/2 ") .!/ +!&#/) #-&.9

L2+0 :2//"\"$"."0/ ]+29 .-"/ 6"5126

J. "# -&##"4'/ 1&3 5"*!. (,). , '"5"./2 .,4'/ .!,. ("'' )&. +&).,") ,'' .!/ 2,.,@%&0 /b,5-'/P &)'1 , '"#. &% .!/ -',)/# ),5/# ,)2 .!/"0 ,0/,#A9 d&3 +,) 0/23+/.!/ .,4'/ 41 +&).0&''")* .!/ -,0,5/./0# ,--/,0")* ") ".P

%+04 ; -0/#/).")* ,0/, +&'35)# ") .!/ .,4'/I0+"90.0+  ; -0/#/).")* -/0"5/./0 +&'35)# ") .!/ .,4'/KW$$ =0:2+. ; .!/ 2/.,"'/2 2/%")"."&) '"#. &% /,+! ,)2 /8/01 -',)/ ") .!/ 0/-&0.384$0 ; #/..")* .!/ .,4'/ %&). #"7/ ,# ". ("'' ,--/,0 &) .!/ 20,(")*

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Chapter 7: Computations of

earthworks volumes using

planes

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Volumes computations using planes 

!"# +!,-./0 ,)2 .!/ &)/ %&''&(")*6 ("'' 2/,' (".! .!/ .(& 5/.!&2# &% +&5-3.")*Y,0.!(&0<#9 =)&.!/0 (,1 .& +,'+3',./ Y,0.!(&0<# .!,. "# )&. 2"#+3##/2 ") .!/#/+!,-./0#6 "# 3#")* .!/ #/+."&)# 5/.!&26 (!"+! ("'' 4/ /',4&0,./2 ") +!,-./0#P`Y,0.!(&0<# &) g&,2#a ,)2 `g&,2# :/#"*)a9

D/ ("'' )&( /b-',") 40"/%'1 .!/ -0")+"-'/ 2"%%/0/)+/ 4/.(//) 4&.! &30 5/.!&2#-0/#/)./2 ") .!"# +!,-./0 ,)2 .!/ %&''&(")* +!,-./0P

!29:W.4."25 #2$W90/ W/"5, :$450/ Q .!"# 5/.!&2 ,''&(# 1&3 .& 2"8"2/.!/ (&0< ,0/, ").& -',)/# @#// -',)/# 2/%")"."&) )/b.A6 ,++&02")* .& 1&30

&() -/0#&),' 2/#"*) 2"8"#"&) 5/.!&29 D!/) #.321")* .!"# 5/.!&26 1&3 ("'''/,0) (!,. , -',)/ "#6 !&( .& 2/%")/ , -',)/6 ,'&)* (".! 2/%")")* , #'&-/,)2 .!/ +&5-3.,."&) &% 2"44'")* '")/#9

G2$W90/ 829:W.4."25 W/"5, .-0 9210$ .2 9210$ /;/.09 Q 3#")* .!"#5/.!&2 1&3 +,) +&5-3./ .!/ [3,)."."/# 41 20/##")* .!/ 2/#"*)/2 *0&3)2'/8/' @, 2/#"*)/2 *0&3)2 '/8/' +,) ,'#& 4/ .!/ #.,.3# ,%./0 ,+."8,."&)A &).!/ /b"#.")* *0&3)2 '/8/'6 ,)2 +&5-3.,."&) [3,).".1 ")./08,'# 4/.(//) .!/.(& ',1/0#9

 =# , 03'/6 ") 4&.! +,#/# 1&3 +,) 0/+/"8/ , 2/.,"'/2 0/-&0. ") (!"+! .!/ -0&E/+. ,0/,

("'' 4/ 2"8"2/2 ").& , *0"2 %&0 +&5-3.")* 8&'35/# ,++&02")* .& &30 2/%")"."&)6 ,# .!/8&'35/# *0"2 ("'' 4/ `#/.a &) .!/ 20,(")*9

Defining topography status

& 4/*") (&0<")*6 1&3 53#. -0/-,0/ , 2/#"*) &% .!/ /b"#.")* .&-&*0,-!19 d&3 ("'' %")2#,5-'/# ,)2 5/.!&2# &) !&( .& -0/-,0/ ,) /b"#.")* *0&3)2 '/8/' .&-&*0,-!1 2/#"*)") +!,-./0 `g&,2 G',))")* Q -0/-,0,."&) &% #/..")*#a9 J) .!"# +!,-./0 1&3 ("'' %")2 5&0/5/.!&2#P

D/ ("'' )&( 2"#+3## .!/ %3'' '"#. &% +&55,)2# .!,. 53#. 4/ %&''&(/2 ") &02/0 .&+&5-3./ Y,0.!(&0<# 3#")* -',)/# 2"8"#"&)9 !"# /b-',),."&) ("'' ")+'32/ ,'' .!/ #./-#@%0&5 #.,0.")* , )/( -0&E/+. .& 0/+/"8")* ,) Y,0.!(&0<# [3,).".1 0/-&0.A6 ,)2 5"*!.0/-/,. #&5/ .&-"+# 2"#+3##/2 ") -0/8"&3# +!,-./0#9 J. "# 0/+&55/)2/2 .& 0/,2 .!"#+!,-./0 .!&0&3*!'1 ,)2 %&''&( .!/ ")#.03+."&)# #./-;41;#./- ") &02/0 .& ,8&"2 5"#.,</#,)2 0/-/."."&)9

D:05"5, 4 :+2`08. Q& <//- .!")*# #"5-'/6 &-/) , )/( -0&E/+.6 ),5/ ".

]./#._ ,)2 #,8/ ". ") .!/ >"8"'>=:e 2"0/+.&019 @C,8")* ") .!/ e>"8"'>=:2"0/+.&01 "# 3#3,''1 )&. 0/+&55/)2/29 J. "# 4&.! 5&0/ +&)8/)"/). ,)2&02/0'1 .& &-/) , )/( 2"0/+.&01 %&0 /,+! -0&E/+.9A \0&5 .!/ 5,") 5/)3

&-/) P K"$0 ac A06 I+2`08.9 d&3 ("'' #// , ]F/( G0&E/+._ %"'/# 2",'&* 4&b9>'"+< ") .!/ -0&E/+. ),5/ ]./#._ ") .!/ /5-.1 '")/ #".3,./2 '/%. .& .!/ `%"'/

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),5/a ,)2 +'"+< ]Y)./0_9 !/ -0&*0,5 ("'' .0,)#%/0 1&3 .& .!/ )/( -0&E/+./)8"0&)5/). @1&3 +,) #// .!"# 41 .!/ )/( 4'3/ !/,2")* .!,. ("'' ,--/,0 ,..!/ .&- &% .!/ -,*/ ,)2 ("'' ")+'32/ .!/ '"40,01 ,)2 .!/ )/( -0&E/+. ),5/

1&3 ,0/ +300/).'1 (&0<")* &) @%&0 /b,5-'/P >PmG0&*0,5\"'/#m>"8"'>=:m/#.A9

!+04."5,V"9:2+."5, 4 822+1"54.2+ ]"$0 Q /b"#.")* #.,.3#9 J) .!/ %&''&(")*/b,5-'/6 .(& 5/.!&2# &) !&( .& -0/-,0/ ,) /b"#.")* *0&3)2 '/8/' ("'' 4/2/.,"'/2P

d7 ?;:0 .-0 822+1"54.0/(7 @9:2+. 45 0^.0+54$ ]"$0@)&./ ; ". "# -&##"4'/ .& %3''1 +&54")/ .!/ .(& 5/.!&2#A9

d7 ?;:"5, .-0 !22+1"54.0/B0")* .!/ ./b. +30#&0 .& .!/ -&").# /2".")* '")/ @.!/ /5-.1 '")/ "# /b,+.'1 3)2/0.!/ 4'3/ ',4/'P ]&-&*0,-!1 >&&02"),./#_ ,. .!/ 4&..&5 &% .!/ #+0//)9g/5/54/0P .& 40")* .!/ ./b. +30#&0 .& .!/ '")/6 -&"). &) ". (".! 1&30 5&3#/ ,)2#")*'/ 5&3#/ +'"+<A9 1-/ .!/ %&''&(")* +&&02"),./# '"#. P

RM9RWMMR

RR9fMRMML

RLRMMRMMf

RR9WRMMMS

Rf9WWMWM>R

 =00,)*/ .!/ -&").# ") .!/ +&'35)#P +'"+< &) .!/ ,00,)*/ +&'35)# 43..&) ") .!/@'/%. .&- 43..&) %0&5 .!/ '"#. &% 43..&)# ,. .!/ 4&..&5 &% .!/ #+0//)A9

g/%0/#! .!/ 20,(")* 41 +'"+<")* ] _9

(7 =041"5, 45 >^.0+54$ !22+1"54.0/ K"$0

 =# -0&5"#/26 ". "# -&##"4'/ .& "5-&0. ,) /b./0),' +&&02"),./# %"'/ ") =C>JJ%&05,.9 ^) .!"# %"'/ 53#. 4/ , #"5-'/ ./b. %"'/ @,# %"'/# (".! , 90/* .1-/ /)2")*6./b. %"'/# (".! 9.b. .1-/ /)2")*#6 9-") .1-/ %"'/# /.+9A9 !/ -0&*0,5 +,) 0/,2 ,)1

.1-/ &% =C>JJ %"'/ %&05,. 43. ") &02/0 .& (&0< (".! ".6 1&3 ("'' !,8/ .& /2". .!/%"'/ ,%./0 0/,2")* ". @") &02/0 .& */. .!/ /b"#.")* #.,.3#A9 !/ -0&*0,5 #3--'"/##.0&)* (&0< .&&'# %&0 2/,'")* (".! =C>JJ %"'/# @0/23+."&) &% +&'35)#6 ,22"."&) &%+!,0,+./0# /.+9A6 ") &02/0 .& /),4'/ +&5-,."4"'".1 .& ,'' %"'/# .1-/# /b"#.")* ").!/ 5,0</.9

J) .!"# +!,-./0 (/ ("'' )&. 4/ 2"#+3##")* .!/#/ &-."&)#6 &)'1 5/)."&) .!,. ,..!/ /)2 (/ 53#. (&0< (".! =C>JJ %"'/ %&05,. P /'/8,."&) b 1 ),5/e-&").)354/09 F&./; /'/8,."&) "# )&. )/+/##,019

>'"+< &) ]H&,2_ @ AP .& &-/) .!/ 2",'&* 4&b Q ]H&,2 %0&5 ./b. %"'/_9 F&( 1&353#. ./'' .!/ -0&*0,5 .!/ ),5/ &% .!/ %"'/ 1&3 ("#! .& "5-&0.9 J) .!/ #,5-'/

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4/%&0/ 1&36 1&3 +,) /b/0+"#/ &) , +&&02"),./# %"'/ %0&5 , 2"%%/0/). -0&E/+. .!,./b"#.# ") 1&30 +&5-3./0 @/b,5-'/ -0&E/+. .!,. (,# ")#.,''/2 (".! .!/ -0&*0,5A9Y)./0 .!/ ]C,5-'/#_ 2"0/+.&01 @3)2/0 >"8"'>=: LMMN 2"0/+.&01A ,)2 +!&&#/ %"'/

C,5-'/M9+&9

B3"'2")* .!/ /b"#.")* *0&3)2 '/8/' Q d&3 ("'' )&( 4/ ")#.03+./2 !&( .& 43"'2 ,)/b"#.")* .&-&*0,-!1 2/#"*) .!,. ("'' #/08/ ,# , (&0<")* 4,+<*0&3)29 \&0 .!"#-30-&#/ 1&3 ("'' )//2 .& 43"'2 +&).&30 '")/# %0&5 .!/ .&-&*0,-!1 -&").# ,.!,)29 \0&5 .!/ 5,") 5/)3 +!&&#/P ]&-&*0,-!1 ;l >&).&30#_9 ^) .!/ 0"*!.#"2/ &% .!/ #+0//)6 ") .!/ (&0< 4&,02 ,0/,6 , +&).&30 '")/# 20,(")* (")2&( ("'',--/,09 C")+/ (/ ,0/ -0,+."+")* (&0<")* ") &-."5,' +&)2"."&)# (".! &)'15")"535 +&55,)2#6 ,'' 1&3 )//2 .& 2& ") &02/0 .& 20,( .!/ +&).&30 '")/# "# .&+'"+< ]=--'1a9 !/ -0&*0,5 ("'' +&5-3./ ,)2 20,( .!/ +&).&30 '")/#9

D/ !,8/ )&( %")"#!/2 -0/-,0")* .!/ /b"#.")* *0&3)2 '/8/' .&-&*0,-!19

Defining designed planes

 =%./0 !,8")* '/,0)/2 .& -0/-,0/ .!/ /b"#.")* .&-&*0,-!16 1&3 +,) -0&+//2 .&2/%")")* .!/ 2/#"*)/2 -',)/#9

>"8"'>=: LMMN #.&0/# .(& '"#.# &% +&&02"),./# %&0 /,+! -0&E/+. Q .!/ /b"#.")*#.,.3# '"#. &% +&&02"),./#6 ,)2 .!/ 2/#"*) #.,.3# '"#.9 =. .!/ 4&..&5 (")2&(,--/,0# .!/ '"#. &% -&").# %&0 .!/ /b"#.")* .&-&*0,-!1 #.,.3#9 B1 +!&&#")*

]:/#"*) ;l >&&02"),./#_ %0&5 .!/ 5,") 5/)36 1&3 +,) .0,)#%/0 .& 8"/(")* .!/2/#"*)/2 #.,.3# '"#. &% -&").#9 J) &02/0 .& 0/.30) ,)2 (,.+! .!/ /b"#.")* #.,.3#-&").# '"#.6 +!&&#/ Q ]&-&*0,-!1 ;l >&&02"),./#_9

R9 0,)#%/0 .& 2/#"*)/2 +&&02"),./# '"#. @]:/#"*) ;l >&&02"),./#_A6 ,)2 +'"+<.!/ %&''&(")* -&").#P

!!#$ $" %" D1!!#$ %"#& '" D2!(#% )" $" !

!(#% *" *" $ !(#% *$#% )& % !(#% $*#& )" ( 

L9 C-,+/ .!/ +&'35) +&&02"),./# 3#")* .!/ ]g/&02/0_ 43..&) 9

f9 >'"+< ] _ .& 0/%0/#! .!/ 20,(")*9

&0]"5"5, :$450/ Q B/%&0/ (/ #.,0. .& 2/%")/ .!/ -',)/# ") .!/ -0&E/+.6 (/ ("''.,'< ,4&3. .!/ 2/%")"."&) &% , -',)/9 D/ ("'' 2"#.")*3"#! 4/.(//) .(& .1-/# &%-',)/# P

% :$450 .-4. -4/ \005 10]"501 \; \2+10+ :2"5./ ("'' 4/ , +'&#/2 #!,-/&% ,)1 <")29 !/ -',)/ *0&3)2 '/8/' ("'' 4/ +&5-3./2 &)'1 41 ".# 4&02/0

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-&").# @5/,)")* .!,. "% .!/0/ ,0/ ,22"."&),' -&").# (".!") .!/ #!,-/6 ,%./02/%")")* .!/ #!,-/6 .!/ -0&*0,5 ("'' "*)&0/ .!/#/ -&").# ,)2 43"'2 .!/-',)/ &)'1 41 ".# 4&02/0 -&").#A9

% :$450 .-4. "/ 4 \4/0 $"50 451 /$2:0 "# 2/%")/2 41 .!/ .(& -&").# .!,.,0/ .!/ 4,#/ #'&-/ ,)2 .!/ #'&-/ 0,."& @RPL6 RPf ,)2 #& &)A %&0 +3. ,)2 %"''9!/ -',)/ ("'' 4/ 43"'. ,3.&5,."+,''1 3- .& .!/ 2"44'")* '")/ ,)2 *0&3)29

J) &30 /b,5-'/ (/ ("'' 5,</ 3#/ &% .(& 5/.!&2#6 43. ")#./,2 &% 2/%")")* ,#/-,0,./ 4,#/ '")/ ,)2 #'&-/ %&0 /,+! ,0/,6 (/ ("'' &02/0 .!/ -0&*0,5 .& 43"'23# , `+&).")3/# #'&-/a %&0 ,'' ,0/,# ,. &)/ ."5/ @.!"# ("'' 4/ 5,2/ +'/,0/0 ',./0&)A9

R9 K+29 .-0 94"5 905W 48."#4.0 P ]:/#"*);lG',)/#_9 J) .!/ 0"*!.#+0//) , ]2/#"*)/2 -',)/#_ ("'' ,--/,09 C")+/ )& -',)/# (/0/2/%")/2 -0/8"&3#'16 .!/ -0&*0,5 !,2 ,3.&5,."+,''1 &-/)/2 ,)/( -',)/6 *"8")* ". .!/ ),5/ ]R_9 !"# -',)/ ("'' ,--/,0 ") .!/-',)/# '"#. ,. .!/ 4&..&5 &% .!/ 2/#"*)/2 -',)/# (")2&(6 ,)2 ".#2/%")"."&) ("'' ,--/,0 ,. .!/ 3--/0 #"2/ &% .!"# (")2&( @#//P-',)/ ),5/A9 D/ ("'' +&).")3/ .& .!/ 2/%")"."&) &% .!/ -',)/9

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S9 =. .!/ 20,(")* (")2&(6 +'"+< &) .!/ #"2/ (!"+! .!/ #'&-/ ("'' #.,0. %0&5@+'"+< +'&#/ .& .!/ '")/6 )&. &) ".A9

W9 =. .!/ +&55,)2 '")/V .1-/ .!/ !/"*!. (!"+! ("'' 4/ .!/ !/"*!. .!,. .!/ #'&-/("'' #.,0. %0&5 &0 .1-/ VCV ,)2 +'"+< VY)./0V %&0 /)./0")* #'&-/ @")-/0+/).,*/#A9

!/ !/"*!.# ("'' 4/ ,22/2 .& .!/ -',)/V# +&0)/0# ,++&02")* .& .!/ #'&-/9 ?-0 C0",-. 6"$$ \0 84$8W$4.01 :0+:051"8W$4+ .2 .-0 /0$08.01 $"50 ]2+ .-0/$2:0 .2 /.4+. ]+297

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Summarizing table

J) #/+."&) `j&'35/# +&5-3.,."&)# 3#")* -',)/#a6 (/ !,8/ /b-',")/2 !&( .&2/%")/ 2/#"*)/2 -',)/#9 =. .!/ %"),' #.,*/ &% .!/ -',)/# 2/%")"."&) -0&+/##6 1&3("'' 0/+/"8/ .!/ +3. ,)2 %"'' 8&'35/ [3,)."."/# #355,0"7")* .,4'/9

I#/ .!/ /b,5-'/ %0&5 +!,-./0 `j&'35/ +&5-3.,."&)# 3#")* -',)/#a ,)2 ,--'1") .& .!"# #/+."&)P

R9 \0&5 .!/ 5,") 5/)3 *& .& Q Y,0.!(&0<# ;;l :/#"*)/2 -',)/#6 %0&5 .!/0"*!. #"2/ &% .!/ #+0//) .!/ ]:/#"*)/2 G',)/# Y,0.!(&0<a (")2&( ("''

&-/)9

L9 >!/+< ]8_ )/b. .& .!/ ]%3'' 0/-&0._ &-."&) ,)2 +'"+< =--'19 !/ Y,0.!(&0<#0/-&0. ("'' ,--/,09 !/ 0/-&0. ("'' ")+'32/ , #355,0"7")* .,4'/ (".! .!/'"#. &% ,'' .!/ -',)/# .!,. (/0/ 2/%")/2 ") .!/ -0&E/+.6 ")+'32")* #'&-/#9\&0 /,+! -',)/ .!/ %&''&(")* 2,., ("'' ,--/,0 Q +3. 8&'35/6 %"'' 8&'35/6+3. ,0/,6 %"'' ,0/,6 .!/ /)."0/ ,0/, ,)2 -/0"5/./09 & #+0&'' .!/ 0/-&0.63#/ .!/ ,00&(# %0&5 .!/ 0"*!.9 d&3 ("'' */. 2/.,"'# &) .!/ +&&02"),./#.!,. 2/%")/ /,+! ,)2 /8/01 -',)/9

f9 G'/,#/ )&./ .!,. .!/ ]%3'' 0/-&0._ 5,0< ").0&23+/# , %3'' 0/-&0. .!,.

")+'32/# .!/ 2/.,"'")* &% -',)/# 2,., 43. 2&/# )&. ")+'32/ .!/#355,0"7")* 0/-&0.9

S9 G0"). .!/ 0/-&0. 41 +'"+<")* .!/ ]-0")._ 43..&) ,. .!/ 4&..&59 J) .!/ -0").(")2&( .!,. &-/)#6 2/%")/ .!/ -,0,5/./0# 1&3 (,). ,)2 +'"+<]+&).")3/_9

W9 D/ ("'' )&( *& &8/0 .!/ &-."&)# %&0 .!"# (")2&(P

I$450N/ $"/. Q !"# '"#. ("'' +&).,") ,'' .!/ 2/#"*)/2 -',)/# ") .!/ -0&E/+.

(".! .!/ ,22"."&) &% .!/ ]&.,'_ '")/9 D!/) .!/ (")2&( &-/)#6 ,'' .!/ -',)/#

("'' 4/ 5,0</2 ,3.&5,."+,''1 ")+'32")* ].&.,'_9 D!/) 1&3 +'"+< ]=--'1_ .& */..!/ 0/-&0.6 .!/ 2,., ("'' 4/ +&5-3./2 %&0 ,'' .!/ 5,0</2 -',)/#9 J% 1&3 ("#!.& -0/#/). &)'1 #&5/ &% .!/ -',)/# ") .!/ 0/-&0.6 5,0< .!/ &)/# 1&3 ("#! .&2"#-',19 !/ (&02 ]&.,'_ #"*)"%"/# .!,. ") ,22"."&) .& .!/ +!&#/) -',)/#2,.,6 .!/ #355,0"7")*e%3'' 0/-&0. ("'' ")+'32/ , .&.,' '")/9

1C ; !/ !/"*!. ")./08,' %"/'2 ,''&(# , [3"+< ,)2 /,#1 '/8/'")* &%

Y,0.!(&0<#9 D".! .!/ !/'- &% .!"# %"/'2 ". "# -&##"4'/ .& <)&( .!/ Y,0.!(&0<#!/"*!.6 !,2 1&3 +!,)*/2 .!/ !/"*!. &% ,'' 2/#"*)/2 -',)/# 41 , +/0.,")")./08,'9 J)#/0. .!/ 2/#"0/2 !/"*!. ")./08,' ") .!"# %"/'26 ") 5/./0#6 ,)2 +'"+<]=--'19 !/ )/( 0/-&0. .!,. ("'' ,--/,0 ("'' 4/ 4,#/2 &) .!/ &0"*"),'2/#"*)/2 /'/8,."&) ") ,22"."&) .& .!/ !/"*!. ")./08,'# .!,. (/0/ ")#/0./29

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!"# 5,</# ". /,#1 .& */. [3,).".1 /#."5,."&)# %&0 .!/ 2"%%/0/). /'/8,."&)#6,)2 ,%./0 1&3 !,8/ ,..,")/2 .!/ -0&-/0 /'/8,."&)6 1&3 +,) *& 4,+< ,)25,)3,''1 +!,)*/ .!/ 2/#"*)/2 /'/8,."&) ") .!/ -',)/# ,# 1&3 #// %".9

F&./ ; & '&(/0 .!/ /'/8,."&) ")#/0. , )/*,."8/ !/"*!. ")./08,'9

30.."5, .-0 10/"+01 +0:2+. 14.4X!W. #2$ +#  !/ +3. 8&'35/ ") -',)/#9

K"$$ #2$  +#  !/ %"'' 8&'35/ ") -',)/#9%+04+ G',)/ =0/,9

!W. 4+04+ !/ +3. -',)/#9K"$$ 4+04+ !/ %"'' -',)/# ,0/,9I0+"90.0+ ; !/ -',)/# -/0"5/./09

KW$$ +0:2+. Q = 2/.,"'/2 0/-&0. &% .!/ -',)/# @") ,22"."&) .& .!/#355,0"7")* .,4'/A9384$0  Q !/ %&). #"7/ &% .!/ [3,).".1 0/-&0.6 %&0 (!/) .!/ 0/-&0. "# ,22/2

&) .!/ 20,(")* @#// 43..&) Q `,22")* 0/-&0. &).& 20,(")*aA9!4:."25  +!/ .".'/ &% .!/ 0/-&0. 0/+/"8/29 & +!,)*/ .!/ .".'/ ") .!/ 0/-&0.

/0,#/ .!/ .".'/ `G',)/# /,0.!(&0<#a ,)2 ")#/0. .!/ )/( .".'/9 F&./P .!"#&-."&) /b"#.# &)'1 %&0 0/-&0.# ") Y)*'"#!9

%11"5, .-0 +0:2+. .2 .-0 1+46"5, Q 9 & ,+."8,./ +'"+< .!"# 43..&)65&8/ .& .!/ 20,(")* ,0/, ,)2 +!&&#/ .!/ 2/#"0/2 '&+,."&) %&0 .!/ 0/-&0.P

3.451 4$250 W/0+/ 25$; Q -&#"."&) .!/ 0/-&0. (!/0/ 1&3 (,). ". .&

,--/,0 ,)2 +'"+< 1&30 5&3#/9 !/ 0/-&0. ("'' ,--/,0 ") .!/ '&+,."&)&% 1&30 +!&"+/9%W.2!%& W/0+/ Q -&#"."&) .!/ 0/-&0. ,)2 +'"+< 1&30 5&3#/9 =./5-&0,01 1/''&( %0,5/ ("'' ,--/,0 ") .!/ '&+,."&) 1&3 +!&#/9 J% 1&3("#! .& +!,)*/ .!/ '&+,."&) &% .!/ 0/-&0.6 +!&&#/ , )/( '&+,."&) ,)25&3#/ +'"+< ,*,")9 =%./0 1&3 +!&&#")*6 ")#/0. `Ca @&-."&) ]C/._A ") .!/ =3.&>=: +&55,)2 '")/9 !/ 0/-&0. ("'' ,--/,0 ") .!/ 2/#"0/2'&+,."&)9

Elaboration: designed elevation of planes:30")* .!"# +!,-./06 ") .!/ `:/%")")* 2/#"*)/2 -',)/#a #/+."&)6 (/ !,8/ #!&()!&( .& 2/%")/ 2/#"*)/2 -',)/# ") .!/ -0&*0,59 D/ !,8/ ")#/0./2 .!//'/8,."&)# 2/%")"."&) .& .!/ -',)/_# -&").# ,# -,0. &% .!/ +&&02"),./ &% .!/ -&").6

") .!/ ]2/#"*)/2 +&&02"),./#_ '"#.9 Y,+! ."5/ 1&3 +'"+< &) 6 >"8"'>=:*&/# .!0&3*! ,'' .!/ 2/#"*)/2 -',)/# ,)2 3-2,./# .!/ -',)/_# /'/8,."&)#-&").# ,++&02")* .& .!/ 4&..&5 '"#.9 !"# 5/,)# .!,. "% 1&3 (,). .& +!,)*/ .!//'/8,."&) &% , 2/#"*)/2 -',)/6 +!,)*/ ". ") .!/ -&").# '"#. ,)2 +'"+< &)

9 !/ /'/8,."&) +!,)*/ ("'' 4/ ")#/0./2 ,3.&5,."+,''1 ").& .!/ -',)/_#

-&"). 2/%")"."&)6 #& .!,. "% 1&3 -&"). &) , -',)/ %0&5 .!/ ]-',)/# '"#._ ") &02/0 .&8"/( ". ") .!/ 3--/0 #"2/ &% .!/ -',)/# (")2&(6 1&3 ("'' #// .!,. .!/ /'/8,."&)

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&% .!/ -&"). !,# 4//) 3-2,./29 ^)/ &% .!/ 5,") -0&4'/5# &++30# (!/) ,+/0.,") -&"). !,# 5&0/ .!,) &)/ /'/8,."&)9 D!/) , -&"). "# E&"). .& 5&0/ .!,)&)/ -',)/6 .!"# +0/,./# , -0&4'/59 ^)/ #&'3."&) "# +0/,.")* , )/( -&"). (".! ,

)/( ),5/6 ,. .!/ #,5/ '&+,."&) ,# .!/ /b"#.")* -&").6 ,)2 2/%")/ ". %&0 .!/ )/(-',)/9 !/0/ "# ,'#& ,)&.!/0 #&'3."&)9

:/%")")* ,) /'/8,."&) %&0 , -&"). +,) 4/ 2&)/ 41 .!/#/ .(& 5/.!&2#PR9 @5/0+."5, .-0 0$0#4."25O 4/ 64/ 10925/.+4.016 ,# -,0. &% .!/

+&&02"),./ &% .!/ -&"). ") .!/ '"#. &% 2/#"*)/2 -&").#9L9 @5/0+."5, 0$0#4."25 .2 4 :2"5. "5 .-0 :$450 "./0$] 9 & 2/%")/ /'/8,."&)

") .!/ -',)/ ".#/'%6 +!&&#/ .!/ 2/#"0/2 -&"). ") .!/ -',)/ %0&5 .!/ '"#. &%.!/ -',)/_# -&"). '"#. ") .!/ 0"*!. (")2&(9 !/ -&"). ("'' 4/ .0,)#%/00/2 .&.!/ !/,2 &% .!/ (")2&(6 .& .!/ /2".")* '")/6 ,)2 .!/ +30#&0 ("'' 4/'&+,./2 /b,+.'1 ") .!/ /'/8,."&) %"/'29 J)#/0. .!/ )/( /'/8,."&) ,)2 +'"+<

]Y)./0_9 =%./0 .!/ +!,)*/ +'"+< &) .!/ ] V 43..&)9

I$04/0 52."80 .-"/ "9:2+.45. +W$0P J% , -&"). !,# /'/8,."&) ") .!/ '"#. &%]2/#"*)/2 +&&02"),./#_ @4&..&5 '"#.A6 .!/) .!/ /'/8,."&) "# .!/ &)/ .!,. `+&3).#a9!"# 5/,)# .!,. /8/) "% 1&3 +!,)*/ .!"# /'/8,."&) ") .!/ -&"). 2/%")"."&) &% .!/

-',)/6 ,%./0 +'"+<")* &) 6 .!/ /'/8,."&) %0&5 .!/ 4&..&5 '"#. ("'' 0/.30),)2 /0,#/ .!/ ")#/0./2 /'/8,."&)9 J) &02/0 .& ")#/0. /'/8,."&) .& , -&"). 3#")*5/.!&2 L @") .!/ -',)/ 2/%")"."&) ".#/'%A6 1&3 ("'' %"0#. !,8/ .& %"0#. /0,#/ .!//'/8,."&) &% .!/ -&"). %0&5 .!/ ]:/#"*)/2 +&&02"),./#_ '"#.6 ,)2 &)'1 .!/)+!,)*/ ". ") .!/ -',)/ ".#/'%9

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Chapter 8: Computation of

earthworks volumes using

the model-to-model system

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Computation of earthworks volumes using the

model-to-model system

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

D/ #!,'' 2/5&)#.0,./ .!/ +&5-3.,."&) 5/.!&2 ") .!"# +!,-./0 3#")* ,)/b,5-'/9 J) .!"# /b,5-'/6 (/ ("'' 40"/%'1 +&8/0 .!/ 4,#"+ '")/ &% &-/0,."&)# %&0, #.,)2,02 -0&E/+.6 ,)2 ("'' *& ").& 2/.,"' &) #34E/+.# +&))/+./2 .& [3,).".1+&5-3.,."&)#9 !/ +&5-3.,."&) #./-# ,0/ ,# %&''&(#P

R9 ^-/) , )/( -0&E/+.L9 J)-3. .!/ 2,., %&0 .!/ /b"#.")* .&-&*0,-!1 Q 2/%")/ `/b"#.")* .&-&*0,-!1a

,# .!/ .&-&*0,-!1 ,0/, 4/%&0/ ". (,# +!,)*/29f9 >&5-3./ .!/ +&).&30 '")/# &% .!/ /b"#.")* .&-&*0,-!19S9 J)-3. .!/ 2,., %&0 .!/ 2/#"*)/2 .&-&*0,-!1 Q 2/%")/ `2/#"*)/2

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u9 >&5-3./ .!/ +&).&30 '")/# 2/#"*)/2 .&-&*0,-!1 #.,.3#9q9 G0&23+/ , 0/-&0. ,)2 2/.,"'")* &% .!/ Y,0.!(&0< [3,).".19

Preparing a model of the existing topography 

G0/-,0")* .!/ +&).&30 '")/# &% .!/ .&-&*0,-!1 %&0 .!/ -30-&#/ &% +&5-3.")*[3,)."."/# "# "2/)."+,' .& .!/ -0/-,0,."&) &% +&).&30 '")/#6 2/#+0"4/2 ") +!,-./0SP `>0/,.")* >&).&30 '")/#a9 D/ #!,'' 0/8"/( .!/ #./-# 40"/%'1P

R9 ^-/) 3- , )/( -0&E/+.9L9 1-/ ") .!/ %&''&(")* '"#. &% +&&02"),./# ").& .!/ +&&02"),./ .,4'/ ") .!/

4&..&56 `&-&*0,-!1 >&&02"),./#a (")2&(P

RR M M RRL9W RMM M L

Rf9LRMM RMM f

RM M RMM SRW9q WM WM W

RS9N fq9LW LW uRR9W RM RM q

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RR9q RM NM NRR9X XM9W RR X

!/#/ +&&02"),./# ("'' +&)#.".3./ ,) /b"#.")* &-&*0,-!1 #.,.3#6 "9/9 .!/.&-&*0,-!1 ,0/, 4/%&0/ ". (,# +!,)*/29 D!/) 1&3 !,8/ %")"#!/2 .1-")* .!/

'"#.6 8$"8Z 25  .& -0/#/). ". ") .!/ 20,(")*9

A2.0P .!/ /b,5-'/ 3#/2 !/0/ 3#/# 5,)3,' 2,., .1-")*9 J) &02/0 .& 0/,2 .!/

5/,#30/5/). 2,., %0&5 .!/ %"'/6 +'"+< &) .!/ ]%"'/# &-/)_ 43..&) 6 ,)2 #/'/+..!/ 2/#"0/2 %"'/ @#// /b,5-'/ ") +!,-./0 `>0/,.")* >&).&30 H")/#aA9

f9 !29:W.4."25 2] 825.2W+ $"50/

\0&5 .!/ 5,") 5/)36 *& .& &-&*0,-!1 ;l >&).&30#9 ^) .!/ 0"*!. #"2/&% .!/ #+0//)6 .!/ ]&-&*0,-!1 >&).&30#_ (")2&( ("'' &-/)9 >'"+< ^c.& +&5-3./ +&).&30 '")/#9 C")+/ .!/ #-,+/# 4/.(//) +&).&30 '")/# !,8/)&. 4//) 2/%")/26 .!/1 ("'' 4/ #/'/+./2 ,3.&5,."+,''1 ,)2 ("'' 4/ #/. .& R5/./0 @%&0 #-,+/ 2/%")"."&)# #// +!,-./0 SA

 =. .!"# #.,*/6 .!/ .!0//;2"5/)#"&),' 5&2/' (!"+! ("'' 4/ 3#/2 ,# ,4,#"# %&0 8&'35/# +&5-3.,."&) !,# 4//) -0/-,0/29 !"# 5&2/ ("'' 4/+&5-3./2 ") .0",)*'/# ")./0-&',."&)9

d&3 +,) #// .!/ ")./0-&',."&) /'/8,."&)# 41 40")*")* .!/ +30#&0 .& .!/

20,(")* ,0/, ,)2 +'"+<")* .!/ '/%. 5&3#/ 43..&)9 !/ /b"#.")* /'/8,."&)&% .!/ +30#&0 -&#"."&) ("'' ,--/,0 ,. .!/ 4&..&5 &% .!/ (")2&(6 )/,0 .!/O/"*!.i ',4/'9 G'/,#/ )&."+/ .!/ O/"*!.i: ',4/'6 #!&(")* .!/2/#"*)/2 /'/8,."&) @"% ,8,"',4'/A9F&./ =3.&>=: 3#/0#; .& */. .!/ /b"#.")* /'/8,."&)6 -'/,#/ -0/## .!/

G"+< !/"*!. @ A 43..&) @'&+,./2 ") >"8"'>=: LMMN #.,)2,02 .&&'4,0A6 *&.& .!/ 20,(")* ,0/, ,)2 +'"+< .& 0/+/"8/ .!/ /'/8,."&) &% .!/ +30#&0-&#"."&)9

B1 +'"+<")* 1&30 5&3#/ 43..&) ") 2"%%/0/). ,0/,# &% .!/ 20,(")*6 1&3 +,)

<)&( -0/+"#/'1 (!/0/ .!/ 2/#"*)/2 5&2/' (,# +&5-3./26 /8/) "% .!/20,(")* ',1/0 &% .!/ 2/#"*)/2 +&).&30 '")/# (,# %0&7/)6 /0,#/2 &0 5&0/#"5-'1 .!/0/ (/0/ )& 2/#"*)/2 +&).&30 '")/# ") .!/ ,0/, @"9/9 , -',./,3A9 ='' 1&3 !,8/ .& 2& "# 5&8/ &) .!/ 20,(")*6 +'"+< 1&30 5&3#/ ,)2 '&+,./.!/ ")./08,'# 4/.(//) O/"*!.i ,)2 O/"*!.i:9

S9 !-45,"5, .-0 82$2+ 2] .-0 >^"/."5, ?2:2,+4:-; $4;0+X

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+&).&30 '")/# ',1/0# &% .!/ /b"#.")* .&-&*0,-!1 ("'' #.,0. ,. ]&-&*0,-!1

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>&).&30#_ @%&0 =3.&>=: 3#/0#6 .!/ ),5/# &% .!/#/ ',1/0# ("'' #.,0. ,.]+&).&30#_A9

Input of designed topography data/ or As Made

 =# 5/)."&)/2 ,4&8/6 (/ 2/%")/2 .!/ ,# 5,2/ 2,., ,# .!/ 2/#"*) 2,.,9 J) .!"#-,0. &% .!/ +!,-./06 (/ ("'' )&( #!&( !&( .& ")-3. .!/ 2/#"*)/2 2,., &).& .!//b"#.")* .&-&*0,-!19!/ /b,5-'/ 0/'"/# &) .!/ #,5/ /b,5-'/ %0&5 ,) /,0'"/0 #/+."&) ") .!"#+!,-./0 `>&5-3.,."&) &% Y,0.!(&0<# j&'35/# I#")* .!/ n&2/' .& n&2/'C1#./5a9

R9 Z& .& :/#"*) ;l >&&02"),./#9 !/ '"#. &% +&&02"),./# ") .!/ 4&..&5

(")2&( ("'' +!,)*/ %0&5 ]&-&*0,-!1 >&&02"),./#_ .& ]:/#"*)/2>&&02"),./#_9

L9 1-/ ") .!/ %&''&(")* '"#. ,# 2/#"*)/2 +&&02"),./#P

A490 >4/. A2+.- C0",-.R WR9uu qN9qX RS9RWL qR9Rf uu9qL RW9MRf uL9XM SW9LX RS9XSS NW9XS fX9LX RL9qLW uX9LR LL9MR Rf9SL

u qq9qR RS9Mu RL9WRq SN9uS RR9Nq RL9fWN LL9WX Lf9fX Rf9WXX RR9fS SM9fX RL9LNRM LM9uq uq9NL Rf9NuRR WM9Wu LW9WN Rf9XNRL Wu9fL fu9WW RS9XSRf SM9Xu fu9WW RW9RMRS Su9SW fM9WL RS9WMRW Su9SW RX9NL Rf9fMRu WX9fS LR9RX Rf9SS

 =%./0 .1-")* .!/ '"#. +'"+< &) .& 0/%0/#! .!/ 20,( ,)2 -0/#/). .!/-&").#9

>"8"'>=: LMMN 5,),*/# .(& '"#.# %&0 /,+! -0&E/+.P , '"#. &% -&").# %&0 .!//b"#.")* .&-&*0,-!1 ,)2 , '"#. &% +&&02"),./# %&0 .!/ 2/#"*)/2 .&-&*0,-!19D!/) >"8"'>=: LMMN "# ,+."8,./26 ". -0/#/).# ") .!/ 4&..&5 (")2&( .!//b"#.")* &-&*0,-!1 '"#. &)'1 @&-&*0,-!1 >&&02"),./#A9 d&3 +,) 40&(#/ %0&5&)/ '"#. .& .!/ &.!/0 41 +!&&#")* 4/.(//) ]&-&*0,-!1 ;l >&&02"),./#_ ,)2

]:/#"*) ;l &-&*0,-!1_ %0&5 .!/ 5,") 5/)39 D".! /,+! #/'/+."&)6 .!/ 4&..&5'"#. ("'' 4/ 0/-',+/2 (".! .!/ '"#. &% 1&30 +!&"+/9

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Defining zones excluded from the earthworks

computationOften enough, you will come across areas on which you will notwant to perform volumes computations. In order to define theseareas, we will have to make sure that the CivilCAD 2008 does notcreate contour lines for them. The CivilCAD 2008 program computesvolumes only for areas where there is an overlap between existingand designed contour lines (unless one of the areas is a plateau,and even then in the program will do the volumes computations).The best way to define an area that is not intended to undergovolume computations is to border it with a breakline that is definedas closed. It shall be noted that a closed breakline can be definedboth in the Existing and in the Designed Topography, so that forevery area defined by such a line, either in the Existing or in theDesigned Topography (or in both), the program will not performvolume computations.

A2.0: for a detailed explanation on defining a closed breakline, see

 “Creating Contour lines – breaklines/defining ranges to be excludedfrom the contours computation”.

We shall continue with the example we have been using in thepresent chapter to explain the subject.

From the main menu toolbar, choose Design -> Lines. On the right,the Design-Lines window will appear.

Several methods for defining or choosing coordinates for definingbreaklines have been enumerated in this booklet. We shall use oneof these methods:

Make sure that the text cursor (a blinking hook) is located withinthe breaklines typing line. This is the empty line located under theblue title ‘Designed Lines on the right side of the screen (if the textcursor is not within this line, you can bring it there by clicking themouse cursor on the said line). Type in the following list:3,5,16,15,11,14,13,12,3 (press ENTER after each number).Since we wish a closed shape without contours, we will open the

options window and define this line as closed. To open the options

window, click on button and mark "V" near the caption 'Closed'in the opened window (below caption "Lines").In certain situations,

we may wish a closed breakline that will contain the contours (andearthworks computation) . To do so, we'll close the form as we did

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earlier but this time, we won't mark "V" near the caption 'Closed. Tofinish the line/shape definition, click 'OK ' and in the right window

click . 

Defining zones that are included in the earthworks

computation

The volumes computation area will include areas where there is anoverlap between the Existing Topography contour lines, and theDesigned Topography contour lines. Defining the range of anexisting contour lines area is not highly important for computing

volumes. In contrast the defining a range of the designed contourlines area is important and has to be done in a meticulous manner.When running contour lines for a designed topography withoutdefining the range, we run the risk of having the program performinterpolations we do not want. These interpolations will mainly be atthe edges of the topography, since the program performsinterpolations between every two adjacent coordinates, even if theyare far apart from each other, which sometimes leads to thecreation of unwanted triangles (interpolation triangles). There are 3main methods that we can use in order to avoid creating suchtriangles. These 3 methods are activated in the Design ->Contourswindow (activation from the main menu toolbar):

Defining a border with border coordinates – defining a preciseborder by defining its perimeter, within which the program willcreate the designed contour lines.The ‘Fix Borders’ method – activating an automatic option, withwhich the program will minimize the designed contour line bordersto an optimum, set in a way that is not in the user’s control.The Max Interpolation Length method – defining a maximumdistance for interpolating between coordinates. After defining such a

distance, the program will create interpolation triangles onlybetween coordinates that are separated by a length shorter thanthe one that has been defined.

For a detailed explanation of operating each of these methods, see “Creating contour lines - basic issues and defining the range ofcontour lines”.

Preparing a model of the designed topography

In principle, the process of creating contour lines for the designedtopography is almost entirely identical to the process of creating

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contour lines for the existing topography, except for the screens inwhich the process is carried out. The contour lines for the designedtopography can be created only on the background of contour lines

for an existing topography. CivilCAD 2008 will create these linesautomatically in new layers for the existing topography contourslayers.

From the main menu toolbar, go to Design -> Coordinates. Onthe right-hand side, a contour line creation window will open.In the right-hand side window, click Apply. The program willcompute contour lines and will create them.

As explained, in the two previous parts of the chapter (“Defining

zone to be excluded from the computation” and “Defining zone tobe excluded from the computation”), the same operations that canbe performed on the designed contour lines, can be performed onexisting contours. All the operations having to do with designedcontour lines will be performed on the designed list of coordinates,i.e. ‘Designed Coordinates’ (the contour lines of the existingtopography are computed on the existing list of coordinates – ‘Topography Coordinates’), the breaklines will be defined in the ‘Designed Lines’ window, and as mentioned above, the borders ofthe designed contour lines will be defined in the ‘Designed Contours’

window.

After computing the designed contour lines, the program creates anew three-dimensional model, in addition to the existing model. Ifwe go in the drawing, to an area where both existing contour linesand designed contour lines were computed (overlap areas), andclick with the mouse button, we will be able to see two elevationsfor these areas. These elevations can be viewed in both fields,Height_T for the existing and Height_D for the designed, whichappear under the drawing window. AutoCAD users will use the ‘Pick

Height’ option for carrying out this process, as follows: Click on ,located above the drawing window on the main toolbar, with a ‘v’.Go over to the drawing area and click with the mouse on an area ofcontour lines overlap. You will notice that the program presents theinterpolation in the Height_T and Height_D fields as explainedabove.

Volumes table – 'General Earthworks' window

In the course of this chapter, we followed the steps for performing

earthworks computations using the “model to model” system.Having finished the computation for the designed contour lines, all

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that is left to do, is to obtain the sum of the quantity computations.In order to do so, we will open the General Earthworks window.From the main menu toolbar, go to Earthworks à  General. On the

right-hand side, a “General Earthworks” window will open.

Computing general earthworks without a grid (“the exactmethod”) – in the window that has opened, click OK. The programwill compute the differences between the two layers (existingtopography model and designed topography model), for the entireproject, and present a volumes report, which will include: cutvolume, fill volume, cut area (approximately), fill area(approximately).CivilCAD 2008 offers several methods forcomputing Earthworks (one of these methods, “the squares grid

method”), will be explained shortly. Inevitably, there will bedifferences between these methods. It shall be noted that themethod that had just been presented (clicking OK in the windowwith no prior definitions), is the most exact method, hence itsname. The problem with this method is lies in verifying thecomputation. This method does not allow for any follow-up of theway the quantities were computed (by the user), and this leads toproblems in presenting these quantities, for example, for inspectionpurposes.

The squares/quadrangular grid method – in the right-handwindow, mark with a ‘v’ the ‘Create Full Grid’ field. In the “Grid’ssteps” fields, type in X and Y the spaces in the squares grid, in theX direction and in the Y direction (default is 10x10). Click ‘OK’ inthis window. The program will compute volumes for the entireproject, using the squares method. The grid division will appear onthe drawing, and in addition the program will create a quantitiesreport in which the ‘cut’ and ‘fill’ volumes will be mentioned for eachsquare, intermediate sums for every 10 squares, and the totalconcentrated quantities for the entire project. Differences in result

in calculation will exist if the box near caption "Create full grid"was marked or not. In order to get an accurate result when the “create full grid” box is marked, click "V" near the caption “Useaccurate system" (this caption will be displayed only when "Createfull grid" option is marked) and click "Apply"

Defining the volumes computation area – in the methods thatwe have just seen, the computation of quantities for the entireproject was presented. In general, the computation area can bedefined by the designed contour lines area. However, in the squaresgrid method, when computing quantities for the entire project, agrid will be created even in areas where there is no overlap between

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an existing topography and a designed topography. The cut volumefor these squares will be 0, and therefore they will not affect thevolume computations. For aesthetical and convenience reasons, we

may therefore prefer to minimize the grid (which includesminimizing the accompanying report). In order to define an area forvolume computations (both for the squares method and for theexact method), perform the following steps:

- In the right-hand window, make sure you are using the desiredmethod (‘Create full grid’ – marked for the squares grid method orunmarked for the exact method).- Select ‘Pick’ in the check box on the right, go over to the drawingarea and define the borders for the desired area for computation

purposes. To complete defining the borders, click on the “Set”button on the right (AutoCAD users can type in ‘S’ in the commandsline). AutoCAD users can define the computation borders by takingthe following steps:

:0,( , -&'1'")/ .!,. ("'' 2/%")/ .!/ +&5-3.,."&) ,0/,9>!&&#/ ]C/'/+._ %0&5 .!/ +!/+< 4&b &) .!/ 0"*!.9Z& &8/0 .& .!/ 20,(")* ,0/, ,)2 #/'/+. .!/ -&'1'")/ .!,. 1&3 !,8/ 20,()9

- Click Apply. The program will compute the volumes according to

the defined method within the selected area only.

Balancing quantities using the Add to design field – this fieldis intended mainly for Earthworks leveling in a designed project.Such a project can be a water reservoir, designed planes or contourlines designed according to elevation points. This field can be usedby entering the desired elevation addition to the project (in meters)and clicking OK. The program will compute and present a newreport in which quantities will be computed so that the project’sdesign is higher than the original design by the elevation that hasbeen entered. To lower the project’s elevation, enter a negativeaddition (for example: “-1.05”). Using this method of changing thedesigned height of the project, a leveling of earthworks can beeasily obtained, without changing the physical contours. Note: Inthe quantities report that is obtained, you will also see the ratiobetween the cut and the fill in the project. This data allows foreasier follow-up of the leveling that was obtained.

Stripping earthworks - Stripping depth – to compute volumes ina project that requires stripping of the work area, enter thestripping depth (in meters) in the cut area (Cut ar.), and in the fillarea (Full ar.), and click ‘OK’. The program will recompute the

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project volumes, and will present a report which will includeearthworks quantities after taking into account the depth of thestripping that has been entered, including the stripping volumes for

 ‘cut’ and ‘fill’.

Note: if there is no stripping in one of the areas (cut or ‘fill’), leavethe desired field blank or enter “0”.

Presenting the quantities report on the drawing – to presentthe quantities report on the drawing, perform the following steps:\"0#.6 -0&23+/ , 0/-&0. ") , 0/*3',0 5,))/0 41 +'"+<")* ^c9

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Chapter 9: Earthworks -

additional issues

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Earthworks - additional issues 

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Earthworks computations using the triangles system

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

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Chapter 10: Quick sections

and the 3D model 

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Quick sections 

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CivilCAD 2008 Reference manual

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L2+0 2:."25/ W/"5, .-"/ 6"5126

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Chapter 11: Distomat data

computations

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Distomat data computations 

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!/ %"0#. 0/,2")* 3)2/0 .!/ #.,."&) '")/ ("'' 4/ ")#/0./2 ,# .!/ '/%.-&"). %0&5 &30 -&"). &% 8"/(6 ,)2 .!/ 2"#.,)+/ 5/,#30/2 .& ".6 ("'' 4/.0,)#',./2 ").& !&0"7&).,' 2"#.,)+/ ,)2 ("'' 4/ /)./0/2 ").& ]g,2"3# R_%"/'29!/ #/+&)2 0/,2")* 3)2/0 .!/ #.,."&) '")/ ("'' 4/ /)./0/2 ,# , 0"*!.-&").9 !/ 2"#.,)+/ .& ". ("'' 4/ .0,)#',./2 .& !&0"7&).,' 2"#.,)+/ ,)2("'' 4/ /)./0/2 ").& ]g,2"3# L_ %"/'29>'"+< ]^c_ .& 2& .!/ +&5-3.,."&) Q .!/ +&&02"),./# ("'' 4/+&5-3./26 ,)2 .!/ -&"). ("'' 4/ ,22/2 .& 1&30 +&&02"),./# '"#. #&.!,. 1&3 +,) -/0%&05 8,0"&3# ,+."8"."/# &) ". @#3+! ,# .!/+&).")3,."&) &% .!/ +&5-3.,."&) &% ,'' 2"#.&5,. 2,.,A9

Rq9 @5.0+/08."25 i 45,$0/ Y=0/08."25[ ; +'"+< .!"# 43..&) .& &-/) .!/")./0#/+."&) (")2&( %0&5 .!/ 0"*!.6 %0&5 .!0// 2"0/+."&)#9

!/ %"0#. .!0// 0/,2")*# ("'' 4/ +&-"/2 .& .!"# (")2&( "55/2",./'1%&''&(")* .!/ #.,."&)9!/ 2,., ("'' 4/ +&-"/2 ") ,) ,#+/)2")* &02/0 %0&5 '/%. .& 0"*!.6 ,#%&0 /,+! -&"). ("'' 4/ +&-"/2 .!/ 0/,2")* !&0"7&).,' .& ".9!/ #.,."&) ("'' 4/ +&-"/2 ,# ]F/( -&")._9 >'"+< ]^c_ .& -/0%&05 .!/+&5-3.,."&) ,)2 #.&0/ .!/ 0/#3'.# ") .!/ +&&02"),./# '"#.6 #& .!,. )&(1&3 +,) +&5-3./ .!/ 2"#.&5,. 2,., %0&5 .!"# #.,."&)9

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RN9 @5.0+/08."25 ( 45,0$/ m 1"/.4580 ; +'"+< .!"# 43..&) .& &-/) .!/")./0#/+."&) (")2&( %0&5 .(& ,)*/'# z 2"#.,)+/9 !/ 2,., &% .!/ %"0#..(& -&").# ,%./0 .!/ #.,."&) ("'' 4/ +&-"/2 .& .!"# (")2&( %0&5 '/%. .&0"*!.9 \&0 .!/ %"0#. -&"). .!/ 0/,2")* ,)2 2"#.,)+/ ("'' 4/ +&-"/26 ,)2%&0 .!/ #/+&)2 -&").6 &)'1 .!/ 0/,2")* ("'' 4/ +&-"/2 @.!/ 2"#.,)+/+&-"/2 ("'' 4/ ,3.&5,."+,''1 .0,)#',./2 .& !&0"7&).,' 2"#.,)+/A9 !/#.,."&) ("'' 4/ +&-"/2 ") .!/ ]F/( -&")._ %"/'29 >'"+< ]^c_ .& +&5-3./.!/ #.,."&) ,)2 ,22 ". .& .!/ '"#. &% +&&02"),./#6 #& .!,. ". +,) 4/&-/0,./2 &) ,*,")9

RX9 =--'1 Q -0/##")* .!"# 43..&) ("'' 03) .!/ +&5-3.,."&) ,)2 +0/,."&) &% .!/0/-&0.9

LM9 >'&#/ Q !/ 2"#.&5,. 2,., "# #.&0/2 ") .!/ 5/5&01 ,)2 "._# -&##"4'/ .&&-/) .!/ (")2&( ,*,") ,)1 ."5/9

LR9 J._# -&##"4'/ .& ]+00b0 -&").# (!"+! (/ (,). .& )/*'/+. ") .!/ +&5-3.,."&)&% .!/ .0,8/0#/ ,2E3#.5/).9 n,0< .!/ 0&( 1&3 ("#! .& %0//7/ ,)2 0"*!.+'"+< &) .!/ 5&3#/9 >!&&#/ .!/ &-."&) ]\0//7/ G&").#_9 J._# ,'#&-&##"4'/ .& 2&34'/ +'"+< .!/ '/%. +&'35) `\0a9 & 3)%0//7/ 2&34'/ +'"+<,*,") &0 +!&&#/ .!/ &-."&) `I)%0//7/ ,'' -&").#a %0&5 .!/ 0"*!. +'"+<&-."&)#9

LL9 G0"#5 !/"*!. 2/%")"."&) %&0 L: #308/1")*

J) +,#/ L: #308/1")* "# 0/[3"0/2 @>&&02"),./# .!,. )//2# .& ,--/,0&) 20,(")* (".!&3. 4/")* +&)#"2/0/2 ,. ")./0-&',."&)A6 1&3 +,) 2/%")/-0"#5 !/"*!. ,# ;XX ") .!/ .&.,' #.,."&) ,)2 (!/) 1&3 ("'' -/0%&05

.0,8/0#/ ,2E3#.5/).6 ,'' +&&02"),./# (".! -0"#5 !/"*!. ;XX 2/%")"."&)("'' 4/ 0/+&*)"7/2 ,# M9MM9& '&+,./ ,'' -&").# (".! !/"*!. M9MM ") +&&02"),./# '"#.6 +'"+< &) ]\")2_

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J) ]\")2_ D")2&(6 2/%")/ #/,0+! 41 ,++30,./ !/"*!.6 .1-/ M9MM &0 M,)2 +'"+< ]\")2 =''_ 43..&)9 ='' -&").# (".! M9MM !/"*!.# ") +&&02"),./# '"#. ("'' 4/ 5,0</2 ") 4'3/9n,0< ]j_ ") ]B'&+<_ +!/+<4&b @&) .!/ 0"*!. #"2/ &% +&&02"),./# '"#.A ,)2

+'"+< ]\0//7/ +300/). '")/m4'&+<_ 43..&) 9 w\09l #154&' ("'' 4/

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%::051"^ d _ J04/. 3nW4+0 ?+4#0+/0 41`W/.905.

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Az0 = StartAzimuth 

Known

Unknown

Az0 P1 

P2 

P3 

P4 

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\"*30/ =;L6 .1-/ JJ6 >'&#/ .0,8/0#/ .& #")*'/ c)&() -&"). ,. .!/ /)2

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Az0 = StartAzimuth 

Known

Unknown

Az0 = StartAzimuth 

Known

Unknown

Az0 

Azn 

B

C

D

P1 

P2 

P3 

P4 

Az0 = StartAzimuth 

Known

Unknown

Az0 

Azn 

B

C

D

P2 

P3 

P4 

Az0 

A

B

C

P1 

P2 

P3 

P4 

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!/ '/,#. #[3,0/ .0,8/0#/ ,2E3#.5/). -0&+/## ,3.&5,."+,''1 "2/)."%1 ,'' .!/-&##"4'/ +&))/+."&)# ,)2 /[3,."&)#9 !/ 5/,)")* &% 5")"535 '/,#. #[3,0/#&'3."&) "# .!,. .!/ #35 &% .!/ ,2E3#.5/).# #[3,0/# 53#. 4/ .!/ 5")"535

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Semi-Ma or=M

Semi-Manor=M

Az

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/''"-#/6 (!"+! !/0 #/5";5,E&0 ,)2 #/5";5,)&0 ,b"# ,0/ /[3,' .& .!/ 5,b"535

,)2 5")"535 8,'3/# &% .!/ C: @#.,)2,02 2/8",."&)A9

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@n,b '")/,0 2"%%/0/)+/A9v  ^0"/).,."&) +&).0&' 4/.(//) L <)&() -&").#9 !/ +&5-3./2 &0"/).9

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)&. %")2 , .0,8/0#/ ,2E3#.5/). #&'3."&) &0 (/ 2"2)_. (0"./ .!/ +&).0&'-&").# ") .!/ .&-&*0,-!1 +&&02"),./# '"#. @&0 (/ 2"2)_. 5,0< .!/ <)&()-&").# (".! +&2/ ]+-_A9

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Chapter 12: Coordinates

geometry

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Coordinates geometry 

!"# +!,-./0 2"#+3##/# */&5/.0"+ +&5-3.,."&) &) +&&02"),./# @>^Z^A9 J.2/.,"'# ,'' */&5/.0"+ ,+."8"."/# -&##"4'/ %0&5 >"8"'>=: LMMN9 J) ,22"."&) .& .!"#+!,-./06 #/-,0,./ +!,-./0# (/0/ 2/2"+,./2 .& .&-"+# &% ; `:"#.&5,.# :,.,>&5-3.,."&)a @+!,-./0 RMA6 ,)2 `G&'1*&) =2E3#.5/).a @+!,-./0 RRA9 =)&.!/0*/&5/.0"+ +&5-3.,."&) #3--&0./2 41 .!/ -0&*0,56 43. )&. 2/.,"'/2 ") .!"#+!,-./0 "# +&&02"),./# +&5-3.,."&) Q 03))")* 2"#.,)+/ ,)2 &%%#/.# ,+0&## .!/!&0"7&).,' ,'"*)5/).6 #.0,"*!. &0 ")+'32")* ,0+!/#9 !"# +&5-3.,."&) "# -&##"4'/,)2 ("'' 4/ /b-',")/2 ") +!,-./0 RS `g&,2# :/#"*) Q */&5/.0"+ +&5-3.,."&),'&)* .!/ +/)./0 '")/a9

Coordinates geometry definitions

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\0&5 .!/ 5,") 5/)3 ,+."8,./ P Z/&5/.01 ;l Z/&5/.01 -,0,5/./0#9 \0&5 .!/0"*!. ("'' &-/) .!/ */&5/.0"+ +&5-3.,."&)# 2/%")"."&) D")2&(9J) .!"# (")2&( ,--/,0# .(& %0,5/#PG&").# 3#/ Q >!&&#")* .!/ '"#. (".! (!"+! 1&3 ("#! .& (&0< @.&-&*0,-!1 &02/#"*)/2 &0 4&.!A9D&0<")* 3)".# Q.!/ (&0<")* 3)".# %&0 ,)*'/#; *0,2# &0 2/*0//#9

I2"5./ W/0P .!/ &-."&)# %0&5 .!"# '"#. ,0/ Q:/#"*)/2 -&").# &)'1 Q='' .!/ +&55,)2# ("'' 4/ 2&)/ &) .!/ 2/#"*)/2 -&").#'"#.6 &)'19&-&9 G&").# &)'1 ; ='' .!/ +&55,)2# ("'' 4/ 2&)/ &) .!/ .&-&*0,-!1 -&").#'"#.6 &)'19&-&9 h :/#"*)/2; >0/,./ 2/#"*)/2 Q !/ -0&*0,5 ("'' 3#/ .!/ /b"#.")*+&&02"),./# ") 4&.! '"#.# %&0 .!/ +&5-3.,."&)#6 43. /,+! )/( -&"). +&5-3./2("'' 4/ +0/,./2 ") .!/ 2/#"*)/2 -&").# '"#. &)'19&-&9 h :/#"*)/2; >0/,./ .&-& ; !/ -0&*0,5 ("'' 3#/ .!/ /b"#.")*+&&02"),./# ") 4&.! '"#.# %&0 .!/ +&5-3.,."&)#6 43. /,+! )/( -&"). +&5-3./2

("'' 4/ +0/,./2 ") .!/ .&-&*0,-!1 -&").# '"#. &)'19

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Working units a (for angles)

!/ (&0<")* 3)".# .!,. ,0/ 2/./05")/2 !/0/6 .!,. ("'' 2/%")/ .!/ ,)*'/ 230")*

.!/ (&0< -0&+/##6 ("'' 4/ ") *0,2# &0 2/*0//#9 !/#/ 2/%")"."&)# ("'' ,'#&+!,)*/ .!/ (&0< 3)".# %&0 .!/ ]2"#.&5,. 2,.,_ (")2&( ,)2 #& %&0 .!/ !&0"7&).,',)2 8/0."+,' &4#/08,."&)# ") ".9

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General remarks

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 Q Y0,#")* ,'' .!/ -&").# ") .!/ +&55,)2# .!,. !,8/ , -&"). '"#.9

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3)2/0 ]Z/&5/.01_ 5/)39

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B+2W:"5, !29:W.4."25 =0:2+./X

\&0 /,+! -0&E/+.6 >"8"'>=: LMMN #,8/# , 0/-&0. .!,. *0&3-# ,'' .!/ */&5/.0"++&5-3.,."&)# .!,. (/0/ 5,2/9 \&0 /,+! (&0<")* #.,*/6 1&3 +,) -0/#/). &0-0"). .!/ -0&-/0 0/-&0.9 J)#"2/ .!/ */&5/.0"+ +&5-3.,."&) ,+."8".1 (")2&(#6,--/,0# , ]-0/#/). 0/-&0._ 43..&) @, 43..&) (".! , -"+.30/ &% , 4&&<A9 G0/## .!"#43..&) .& -0/#/). .!/ 0/-&0.6 -0"). ".6 #,8/ ". ") ,) =#+"" %"'/6 &0 2/'/./ ".9

Area computations

 =+."8,./ ]B0290.+; ac %+04_ %0&5 .!/ 5,") 5/)39 !/ (")2&( ("'' &-/) %0&5.!/ 0"*!.9

!"# &-."&) /),4'/# .& +&5-3./ .!/ ,0/, '&+</2 ")#"2/ .!/ -&").# '"#.#9 I#/]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `Z/)/0,' g/5,0<#a9 \0&5 .!/ '"#. &).!/ 0"*!. ") .!/ 3--/0 %"/'2 ; 1&3 +,) ")#/0. .!/ '"#. &% -&").# .!,. 4&02/0# .!/+&5-3.,."&) ,0/,9 Y)./0 .!/ ),5/# &% .!/ -&").# ,)2 +'"+< ]Y)./0_9 d&3 +,)/)./0 , *0&3- &% -&").# 41 /)./0")* .!/ %"/'2 ") .!/ %&05 &%P RM;RW ,)2 +'"+<]Y)./0_9 J) .!"# +,#/6 ,'' .!/ -&").# 4/.(//) RM .& RW ("'' 4/ ,22/2 .& .!/ '"#.9& +&5-3./ .!/ ,0/, +'"+< ]=--'1_9 !/ ,0/, 4/.(//) .!/#/ -&").# ("'' ,--/,03)2/0 ],0/,_ ,)2 ("'' 4/ ,22/2 .& .!/ +&5-3.,."&) 0/-&0. %&0 -0").")*9

Arc by center and point on arc

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `Z/)/0,' g/5,0<#a9

!"# &-."&) "# %&0 +&5-3.")* ,) ,0+ 41 , <)&() +/)./0 -&"). +&&02"),./#6 ,)2,) ,22"."&),' <)&() -&"). &) ,) ,0+9 Y)./0 .!/ %&''&(")* 2/.,"'# ") .!/ %"/'2#.!,. ,--/,0 ") .!/ (")2&(P

>/)./0 -&"). Q !/ <)&() ,0+ +/)./0 -&").9\0&5 -&"). ; !"# <)&() -&"). &) .!/ ,0+ ("'' #/08/ ,# #.,0.")* -&"). %&0 ,0++&5-3.,."&)#9:"#.,)+/ Q !/ 2"#.,)+/ &% .!/ )/( -&").e-&").# +&5-3./2 %0&5 .!/ <)&()-&"). &) .!/ ,0+9 !"# 2"#.,)+/ +,) 4/P = #")*'/ #-,+/ Q ") .!"# +,#/ .!/ #")*'/ -&"). ("'' 4/ +&5-3./2 ,++&02")* .&

.!/ 2"#.,)+/ .!,. (,# /)./0/29 = %&053', ") %&05,. Tld P K (".! ]T_ ,# .!/ 2"#.,)+/ &% .!/ %"0#. -&"). .& 4/+0/,./26 ]d_ .!/ 2"#.,)+/ &% .!/ ',#. -&"). .& 4/ +0/,./26 ,)2 ]K_ .!/ 2"#.,)+/4/.(//) .!/ -&").#9 \&0 /b,5-'/ RMP WMwM9 !/ -0&*0,5 ("'' 2"#.0"43./ -&").#,+0&## .!/ ,0+ ,. #.,."&)# .!,. 8,01 %0&5 M .& WM6 /,+! RM 5/./0#9

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F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!/ -0&*0,5 ("'' +0/,./9 J) +,#/ ,*0&3- &%

-&").# "# %&053',./26 .!/ -0&*0,5 ("'' )354/0 .!/#/ -&").# #.,0.")* %0&5

.!/ )354/0.!,. !,# 4//) /)./0/2 ") .!/ %"/'29

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,)2 /)./0 .!/5 ").& .!/ -&").# '"#. @.&-&*0,-!1 +&&02"),./# '"#. &0 2/#"*)/2+&&02"),./# '"#.A6 ,# (,# 2/%")/2 41 ") .!/ ]C/..")* D")2&(_ @#// #/+."&)`>&&02"),./# Z/&5/.01 :/%")"."&)#aA9 J% , #")*'/ -&"). "# +&5-3./26 ".#+&&02"),./# ("'' ,--/,0 ") %"/'2# ]T_ ,)2 ]d_ ") .!/ (")2&(6 ,# (/''9

>'"+<")* &) .!/ 0/-&0. 43..&) ("'' ,+."8,./ .!/ ]0/-&0. (")2&(_ ") (!"+! .!/+300/). +&5-3.,."&) ("'' 4/ 2"#-',1/29

Arc by two points and a radius

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `Z/)/0,' g/5,0<#a9

!"# &-."&) "# %&0 +&5-3.")* ,) ,0+ 41 .(& <)&() -&").# &) ,) ,0+ ,)2 0,2"3#9Y)./0 .!/ %&''&(")* 2,., ") .!/ %"/'2# .!,. ,--/,0 ") .!/ (")2&(P

\0&5 -&"). Q .!/ %"0#. <)&() -&"). &) .!/ ,0+9\0&5 -&"). ; .!/ #/+&)2 -&"). &) .!/ ,0+9 !/ #/+&)2 -&"). ("'' 4/ &) .!/+&).")3,."&) &% .!/ ,0+6 +'&+<;("#/9g,2"3# Q .!/ ,0+ 0,2"3#:"#.,)+/ Q !/ 2"#.,)+/ &% .!/ )/( -&").e-&").# +&5-3./2 %0&5 .!/ %"0#.<)&() -&"). &) .!/ ,0+9 !"# 2"#.,)+/ +,) 4/P

 = #")*'/ #-,+/ Q ") .!"# +,#/ .!/ #")*'/ -&"). ("'' 4/ +&5-3./2 ,++&02")* .&

.!/ 2"#.,)+/ .!,. (,# /)./0/29 = %&053', ") %&05,. Tld P K (".! ]T_ ,# .!/ 2"#.,)+/ &% .!/ %"0#. -&"). .& .!/+0/,."&)6 ]d_ .!/ 2"#.,)+/ &% .!/ ',#. -&"). .& +0/,."&)6 ,)2 ]K_ .!/ 2"#.,)+/4/.(//) .!/ -&").#9 \&0 /b,5-'/ RMP WMwM9 !/ -0&*0,5 ("'' 2"#.0"43./ -&").#,+0&## .!/ ,0+ ,. #.,."&)# .!,. 8,01 %0&5 M .& WM6 /,+! RM 5/./0#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ .(& <)&() -&").# .& ]T_ /[3,' -,0.# Q`eTa9 \&0 /b,5-'/6 /)./0")* eW6 ("'' 2"8"2/ .!/ #/*5/). .&; W /[3,' -,0.#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ .(& <)&() -&").# 41 .!/ 2"#.,)+/ &% ]T_5/./0# Q`TPa9 \&0 /b,5-'/6 /)./0")* LP6 ("'' +0/,./ -&").# /8/01 L 5/./0# &).!/ ,0+9

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F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!/ -0&*0,5 ("'' +0/,./9 J) +,#/ ,*0&3- &% -&").# "# %&053',./26 .!/ -0&*0,5 ("'' )354/0 .!/#/ -&").# #.,0.")*%0&5 .!/ %"0#. )354/0 .!,. (,# %"0#. /)./0/2 ") .!/ %"/'29

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*

]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,)2 /)./0 .!/5 ").& .!/ -&").# '"#. @.&-&*0,-!1 +&&02"),./# '"#. &0 2/#"*)/2+&&02"),./# '"#.A6 ,# (,# 2/%")/2 41 ") .!/ ]C/..")* D")2&(_ @#// #/+."&)`>&&02"),./# Z/&5/.01 :/%")"."&)#aA9 J% , #")*'/ -&"). "# +&5-3./26 ".#+&&02"),./# ("'' ,--/,0 ") %"/'2# ]T_ ,)2 ]d_ ") .!/ (")2&(6 ,# (/''9>'"+<")* &) .!/ 0/-&0. 43..&) ("'' ,+."8,./ .!/ ]0/-&0. (")2&(_ ") (!"+! .!/+300/). +&5-3.,."&) ("'' 4/ 2"#-',1/29

Arc by three points

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G&"). R Q .!/ %"0#. <)&() -&"). &) .!/ ,0+9

G&"). L ; .!/ #/+&)2 <)&() -&"). &) .!/ ,0+9G&"). f Q .!/ .!"02 <)&() -&"). &) .!/ ,0+9

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:"#.,)+/ Q !/ 2"#.,)+/ &% .!/ )/( -&").e-&").# +&5-3./2 %0&5 .!/ %"0#.<)&() -&"). &) .!/ ,0+9 !"# 2"#.,)+/ +,) 4/P = #")*'/ #-,+/ Q ") .!"# +,#/ .!/ #")*'/ -&"). ("'' 4/ +&5-3./2 ,++&02")* .&.!/ 2"#.,)+/ .!,. (,# /)./0/29 = %&053', ") %&05,. Tld P K (".! ]T_ ,# .!/ 2"#.,)+/ &% .!/ %"0#. -&"). .& .!/+0/,."&)6 ]d_ .!/ 2"#.,)+/ &% .!/ ',#. -&"). .& +0/,."&)6 ,)2 ]K_ .!/ 2"#.,)+/

4/.(//) .!/ -&").#9 \&0 /b,5-'/ RMP WMwM9 !/ -0&*0,5 ("'' 2"#.0"43./ -&").#,+0&## .!/ ,0+ ,. #.,."&)# .!,. 8,01 %0&5 M .& WM6 /,+! RM 5/./0#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ %"0#. ,)2 .!/ .!"02 <)&() -&").# &) ,) =0+6 .& ]T_ /[3,' -,0.# Q `eTa9 \&0 /b,5-'/6 /)./0")* eW6 ("'' 2"8"2/ .!/ #/*5/)..&; W /[3,' -,0.#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ %"0#. ,)2 .!/ .!"02 <)&() -&").# &) ,) =0+41 ]T_ 5/./0# Q`TPa9 \&0 /b,5-'/6 /)./0")* LP6 ("'' +0/,./ -&").# /8/01 L 5/./0#&) .!/ ,0+9

F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!/ -0&*0,5 ("'' +0/,./9 J) +,#/ ,*0&3- &% -&").# "# %&053',./26 .!/ -0&*0,5 ("'' )354/0 .!/#/ -&").# #.,0.")*

%0&5 .!/ )354/0 .!,. (,# %"0#. /)./0/2 ") .!/ %"/'29

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A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,)2 /)./0 .!/5 ").& .!/ -&").# '"#. @.&-&*0,-!1 +&&02"),./# '"#. &0 2/#"*)/2+&&02"),./# '"#.A6 ,# (,# 2/%")/2 41 ") .!/ ]C/..")* D")2&(_ @#// #/+."&)`>&&02"),./# Z/&5/.01 :/%")"."&)#aA9 J% , #")*'/ -&"). "# +&5-3./26 ".#+&&02"),./# ("'' ,--/,0 ") %"/'2# ]T_ ,)2 ]d_ ") .!/ (")2&(6 ,# (/''9 >'"+<")* &).!/ 0/-&0. 43..&) ("'' ,+."8,./ .!/ ]0/-&0. (")2&(_ ") (!"+! .!/ +300/).+&5-3.,."&) ("'' 4/ 2"#-',1/29

Arc by three outside points

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `Z/)/0,' g/5,0<#a9

!"# &-."&) "# %&0 +&5-3.")* ,) ,0+ 41 .!0// <)&() -&").# .!,. 4'&+< .!/ ,0+@#// 20,(")* ") (")2&(A6 ,)2 .!/ 0,2"3# &% .!/ ,0+ %&0 .!/ +0/,."&)9 Y)./0 .!/%&''&(")* 2,., ") .!/ %"/'2# .!,. ,--/,0 ") .!/ (")2&(P

G&"). R Q .!/ %"0#. <)&() -&").9G&"). L ; .!/ #/+&)2 <)&() -&").9

G&"). f Q .!/ .!"02 <)&() -&").9g,2"3# Q .!/ 0,2"3# &% .!/ ,0+ "# 4'&+</2 41 .!/ .!0// -&").#9

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A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41+'"+<")* ]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,+0&## .!/ ,0+9

Arc segment

 =+."8,./ ]Z/&5/.01 ;l =0+ #/*5/)._ %0&5 5,") 5/)39 !/ (")2&( ("'' &-/)%0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `Z/)/0,' g/5,0<#a9

!"# &-."&) "# %&0 +&5-3.")* .!/ '&+</2 ,0/, 4/.(//) .!/ ,0+ ,)2 , #.0,"*!.'")/9 J) ,22"."&) .!/ -0&*0,5 ("'' +&5-3./ .!/ '/)*.! &% .!/ #.0,"*!. '")/ ,)2 .!/

'/)*.! &% .!/ ,0+ #/*5/). .!,. "# 4'&+<")* .!/ ,0/,9 & +&5-3./ .!/ %"/'2 2,.,6")#/0. .!/ %&''&(")*P

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\0&5 -&"). Q .!/ %"0#. <)&() -&"). &% .!/ #/*5/).9& -&"). ; .!/ #/+&)2 <)&() -&"). &% .!/ #/*5/).9

g,2"3# Q .!/ 0,2"3# &% .!/ #/*5/). ,0+9

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ 2,.,#/*5/). ,)2 -0/#/). .!/5 ") .!/ %&''&(")* %"/'2#P

 =0+ Q .!/ '/)*.! &% .!/ #/*5/). ,0+9:"#. Q .!/ '/)*.! &% .!/ #.0,"*!. '")/ 4/.(//) .!/ .(& -&").#9

 =0/, Q .!/ ,0/, &% .!/ #/*5/). '&+</2 4/.(//) .!/ -&").#9

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Continuous distance

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!"# &-."&) "# %&0 +&5-3.")* .!/ #35 2"#.,)+/ &% , '")/ 2/%")/2 41 ".# )354/0&% -&").#9 d&3 +,) 3#/ .!/ ]G"+<_ ,)2 ]H&+,./_ ,)2 ]C/'/+._ &-."&) ,# /b-',")/2") #/+."&) `*/)/0,' 0/5,0<#a9 \0&5 .!/ '"#. &) .!/ 0"*!. ;3--/0 %"/'26 1&3 +,)/)./0 .!/ '"#. &% -&").# .!,. 2/%")/ .!/ '")/ .!,. "# 4/")* +&5-3./29 Y)./0 .!/-&").# ),5/# ,)2 +'"+< ]Y)./0_9 d&3 +,) /)./0 , *0&3- &% -&").# 41 /)./0")* .!/%"/'2 ") .!/ %&05 &%P RW;RM ,)2 +'"+< ]Y)./0_9 J) .!"# +,#/6 ,'' .!/ -&").# 4/.(//)RM .& RW ("'' 4/ ,22/2 .& .!/ '"#.9 & +&5-3./ .!/ #.,."&) +'"+< ]=--'1_9 !/2"#.,)+/ 4/.(//) .!/#/ -&").# ("'' ,--/,0 ,# ]:"#.,)+/_9 !/ 2/.,"'")* &% .!/")./05/2",./ 2"#.,)+/# 4/.(//) .!/ -&").# ")+'32")* .!/ ,++353',.")* ,)2%"),' 2"#.,)+/ ("'' ,--/,0 ") .!/ +&5-3.,."&) 0/-&0.9

Transformation of coordinates system

 =+."8,./ ]Z/&5/.01 ;l >&&02"),./# .0,)#%&05,."&)_ %0&5 .!/ 5,") 5/)39 !/(")2&( ("'' &-/) %0&5 .!/ 0"*!.9

!"# &-."&) "# %&0 .0,)#%&05")* .!/ -&").# +&&02"),./# ") .!/ '"#. 41 ")#/0.")* .!/+&&02"),./# &% .(& -&").# ") .!/ +300/). #1#./56 ,)2 ")#/0.")* .!/ +&&02"),./#&% .!/#/ .(& -&").# ") .!/ )/( #1#./5 .& (!"+! (/ (,). .& .0,)#%&059 J)#/0..!/ %&''&(")* ") .!/ (")2&( &) .!/ 0"*!.P

^'2 #1#./5P

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J)#/0. +&&02"),./# ]T_ ,)2 ]d_ &% .!/ %"0#. -&"). @-&"). RA6 ,)2 &% .!/ #/+&)2-&"). @-&"). LA <)&() ") .!/ &'2 #1#./59

F/( #1#./5PJ)#/0. .!/ +&&02"),./# &% .!/ #,5/ .(& -&").# ") .!/ )/( #1#./59

d&3 +,) 3#/ ]C/'/+. ,)2 ]G"+<_ ") &02/0 .& +!&&#/ .!/ .(& -&").# ") .!/ &'2#1#./5 @+300/).A6 *0,-!"+,''1 &3. &% .!/ 20,(")*9

 =%./0 /)./0")* .!/#/ %&30 -&").# +'"+< ]=--'1_ .& ,+."8,./9 B/%&0/ 1&3 -/0%&05.!/ .0,)#%&05,."&) 1&3 ("'' 4/ 0/[3/#./2 .& +&)%"05 .!"# ,+."&)9 =%./0 .!/.0,)#%&05,."&)6 .!/ )/( +&&02"),./# ("'' ,--/,0 ") .!/ 4&..&5 (")2&(9 >'"+<]g_ .& 20,( .!/5 ,*,") &) 1&30 #+0//)9

n&0/ &-."&)# %0&5 .!"# (")2&(P!/ -0&*0,5_# 2/%,3'. "# .!/ .0,)#%&05,."&) &% .(& +&&02"),./# '"#.#6 4&.!.&-&*0,-!1 ,)2 2/#"*)/2 +&&02"),./#9 J% 1&3 ("#! .& .0,)#%&05 &)'1 &)/ &% .!/'"#.#6 0/5&8/ .!/ ]8_ 5,0< )/b. .& &)/ &% .!/ %&''&(")*P

&-& -&").# Q .!/ .&-&*0,-!1 -&").# '"#.9:/#"*)/2 -&").# ; .!/ 2/#"*)/2 -&").# '"#.9

Distance and angle of a group of points

 =+."8,./ Z/&5/.01 ;l :"#.,)+/ z ,)*'/ %0&5 .!/ 5,") 5/)39 !/ (")2&( ("''&-/) %0&5 .!/ 0"*!.9

!"# &-."&) "# %&0 +&5-3.,."&) &% 2"#.,)+/6 ,7"53.! ,)2 0/',."8/ ,)*'/ &% ,<)&() -&"). @,)1 #.,."&)A .& , *0&3- &% -&").# %&0 5,0<")*9 \0&5 .!/ (")2&(&) .!/ 0"*!. /)./0P

C.,."&) ; .!/ ),5/ &% .!/ #.,."&) %0&5 (!"+! .!/ 2,., ("'' 4/ +&5-3./29K/0& -&"). Q >"8"'>=: LMMN -0&23+/# , 0/-&0. .!,. ")+'32/# 4&.! ,7"53.! %&0-&").# ,)2 &0"/).,."&) ,)*'/# %&0 -&").# %0&5 #.,."&)# .!,. ("'' #/08/ ,# .!/7/0& -&").9 J) .!/ ]K/0& -&")._ %"/'26 /)./0 .!/ -&"). .!,. ("'' #/08/ ,# .!/ 7/0&

-&").9 J% #3+! , -&"). 2&/# )&. /b"#.6 /)./0 .!/ #.,."&) ),5/ ,# 1&3 /)./0/2 ")]C.,."&)_9& -&"). '"#. ; & .!"# '"#. 1&3 +,) /)./0 ,'' .!/ -&").# (!&#/ 2,., 1&3 ("#! .&+&5-3./9 C.,)2 &) .!/ %"/'2 ,. .!/ .&- &% .!/ '"#. ,)2 /)./0 .!/ 0/[3"0/2 -&").#9d&3 +,) /)./0 &)/ -&"). ,%./0 ,)&.!/0 @+'"+< ]Y)./0_ 4/.(//) .!/5A6 , *0&3- &%-&").# 41 2/%")")* ]%0&5_ ,)2 ].&_ @%&0 /b,5-'/ R;RMA6 &0 .1-/ .!/ (&02 ]=''_ ,)2+'"+< ]Y)./0_6 ") &02/0 .& +&).,") ,'' .!/ -&").# ") .!/ -&").# '"#.9

 =%./0 1&3 !,8/ .!/ '"#.6 +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ '"#. &%2"#.,)+/# ,)2 ,)*'/# ,)2 -0/#/). .!/5 ") , 0/-&0.9 F&."+/ .!/ 2"%%/0/)+/

4/.(//) .!/ =7"53.! +&'35) ,)2 .!/ ,)*'/ +&'35)9

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A2.0P !/ 0/-&0. 1&3 */. %0&5 .!"# &-."&) 2&/# )&. 4/'&)* .& .!/ ")+'3#"8/+&5-3.,."&) 0/-&0. &% .!/ -0&*0,56 (!"+! +,) 4/ 0/+/"8/2 %0&5 ,+."8,.")*&.!/0 &-."&)#9

Distance and azimuth

 =+."8,./ Q ]^-/0,./ Z/&5/.01 ;l :"#.,)+/ z =7"53.!_ %0&5 .!/ 5,") 5/)39!/ (")2&( ("'' &-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 +&5-3.")* .!/ 2"#.,)+/ ,)2 ,)*'/ 4/.(//) .(& <)&()-&").#9 Y)./0 .!/ %&''&(")* 2,., ") .!/ %"/'2# .!,. ,--/,0 ") .!"# (")2&(9

\0&5 -&"). Q %"0#. <)&() -&").9& -&"). Q #/+&)2 <)&() -&").9

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

 =%./0 +'"+<")* ]Y)./0_ ") .!/ ]& -&")._ %"/'26 .!/ -0&*0,5 ("'' +&5-3./ .!/,7"53.! ,)2 2"#.,)+/ 4/.(//) .!/ .(& -&").# ,)2 #!&( .!/ 2,., ") %"/'2#]:"#.,)+/_ ,)2 ]=7"53.!_9 !/ -0&*0,5 ("'' ,'#& 3-2,./ .!/ +&5-3.,."&) ") .!/

+&5-3.,."&) 0/-&0.9

Intersection by two distances

 =+."8,./ ]Z/&5/.01 ;l =0+ L -&").#a %0&5 .!/ 5,") 5/)39 !/ (")2&( ("''&-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 %")2")* , -&"). 41 2"#.,)+/ ")./0#/+."&) ").& .(& <)&()-&").#9 J) .!/ %"/'2# &% .!"# (")2&( /)./0P

>/)./0 -&"). R Q .!/ %"0#. ")./0#/+."&) -&").9 !"# "# .!/ '/%. -&"). .& .!/&4#/08,."&) @.!/ 2/%")"."&) &% `'/%. `"# %&0 5")"5"7")* .!/ '&+,."&) &% .!/")./0#/+."&) .& , #")*'/ -&"). %0&5 .!/ .(& -&").# %0&5 (!"+! .!/ 2"#.,)+/# ,0/")./0#/+."&)A9:"#.,)+/ R Q !/ 2"#.,)+/ .& .!/ %"0#. <)&() -&"). @'/%. -&").A9>/)./0 -&"). L Q !/ #/+&)2 -&"). %0&5 (!"+! .!/ ")./0#/+."&) "# 5,2/9 !"#-&"). ("'' 4/ .!/ 0"*!. -&"). .& .!/ &4#/08,."&)9:"#.,)+/ L Q !/ 2"#.,)+/ .& .!/ #/+&)2 <)&() -&"). @0"*!. -&").A9F/( -&"). Q !/ ),5/ &% .!/ )/( -&"). .!,. ("'' 4/ %&05/29

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A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

& -/0%&05 .!/ ")./0#/+."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' #!&( .!/+&&02"),./# ")./0#/+."&) @"% .!/ 2"#.,)+/# ")./0#/+.vA6 ") %"/'2# ]T_ ,)2 ]d_9 !/+&5-3.,."&) 0/-&0. ("'' 4/ 3-2,./2 ,++&02")*'19

Intersection by two angles and a distance

 =+."8,./ ; ]Z/&5/.01 ;l J)./0#/+."&) Q L ,)*'/# h 2"#.,)+/_ %0&5 .!/ 5,")5/)39 !/ (")2&( ("'' &-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 %")2")* , -&"). 41 , ")./0#/+.")* 4/.(//) &4#/08,."&)# .& .(&<)&() -&").# ,)2 .!/ 2"#.,)+/ .& .!/ -&"). &) .!/ '/%.9

G&"). R Q %"0#. -&"). %0&5 (!"+! .!/ ")./0#/+."&) "# 5,2/9 !"# -&"). ("'' 4/ .!/'/%. -&"). .& .!/ &4#/08,."&) @.!/ '/%. ("'' 4/ 2/./05")/2 41 .!/ ,)*'/ .& .!/-&").A9 =)*'/ R Q !/ &4#/08,."&) .& .!/ %"0#. -&"). @.!/ '/%.A9:"#.,)+/ Q !/ 2"#.,)+/ .& .!/ %"0#. <)&() -&"). @'/%. -&").AG&"). L Q !/ #/+&)2 -&"). %0&5 (!"+! .!/ ")./0#/+."&) "# 5,2/9 !"# -&"). "#.!/ 0"*!. -&"). .& .!/ &4#/08,."&)9

 =)*'/ L Q !/ &4#/08,."&) .& .!/ #/+&)2 -&"). @.!/ 0"*!.A9F/( -&"). Q !/ ),5/ &% .!/ )/( -&"). .!,. ("'' 4/ +0/,./29

D&0<")* ") :/*0//#PD/ /5-!,#"7/ !/0/ .!,. .!/ ,)*'/# ("'' 4/ /)./0/2 +&5-'/./'16

#/-,0,./2 41 +&55,# ") .!/ %&''&(")* %,#!"&) P :::6nn6CC9 Yb,5-'/# %&0,)*'/# P W6Rq6RM Wu6RL6RM RNu6LL6fL ,)2 #& &)9 J. "# -&##"4'/ .& ")#/0. .!/*"8/) ,)*'/# ") %3'' 2/*0//#6 &)'1 41 .!/ 2/*0// *0,2/6 %&0 /b,5-'/ P XM @%&0 XM2/*0//#A9

G'/,#/ )&."+/ P !/ ,)*'/# %&05,. ") >&&02"),./# Z/&5/.01 "# 2"%%/0/).%0&5 .!/ %&05,. ,. :"#.&5,. 2,., +&5-3.,."&)6 (!/0/ ,)*'/# ,0/ /)./0/2

(".!&3. #/-,0,."&)9

D&0<")* ") Z0,2#P!/ ,)*'/ ") *0,2# ("'' 4/ /)./0/2 ,# 3#3,'6 ")+'32")* , 2/+"5,' -&").6 "%)//2/29

A2.0X d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

>'"+< ]=--'1_ .& -/0%&05 .!/ ")./0#/+."&)9 !/ -0&*0,5 ("'' -0/#/). .!/

+&&02"),./# &% .!/ ")./0#/+."&) @"% .!/ 2,., "# 4/")* ")./0#/+./2vA6 ,'#& ") %"/'2#]T_ ,)2 ]d_9 !/ +&5-3.,."&) 0/-&0. ("'' 4/ 3-2,./2 ,++&02")*'19

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Intersection by three angles

 =+."8,./ ; ]Z/&5/.01 ;l J)./0#/+."&); f ,)*'/#_ %0&5 .!/ 5,") 5/)39 !/(")2&( ("'' &-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 %")2")* , -&"). 41 ")./0#/+.")* 4/.(//) &4#/08,."&)# .& .!0//<)&() -&").#9 !/ ,++30,+1 &% .!"# ")./0#/+."&) "# ,%%/+./2 2"0/+.'1 %0&5 .!/2"%%/0/)+/ ") ,)*'/# 4/.(//) .!/ &4#/08,."&)#6 ,)2 ,# '&)* ,# .!"# 2"%%/0/)+/"# /[3,''1 2"#.0"43./2 4/.(//) ,'' .!0// 2"0/+."&)# @`n/0+/2/# #!,-/aA6 .!/5&0/ ,++30,./ .!/ ")./0#/+."&) ("'' 4/9 J) .!/ %"/'2# &% .!"# (")2&( /)./0P

G&"). R; .!/ %"0#. ")./0#/+."&) -&").9 =)*'/ R Q &4#/08,."&) %&0 %"0#. #.,."&)9G&"). L Q .!/ #/+&)2 ")./0#/+."&) -&").9 =)*'/ L Q &4#/08,."&) .& .!/ #/+&)2 #.,."&)9G&"). f Q .!/ .!"02 ")./0#/+."&) -&").9 =)*'/ f Q .!/ &4#/08,."&) .& .!/ .!"02 -&").9F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!,. ("'' 4/ +0/,./29

D&0<")* ") :/*0//#PD/ /5-!,#"7/ !/0/ .!,. .!/ ,)*'/# ("'' 4/ /)./0/2 +&5-'/./'16 #/-,0,./2 41

+&55,# ") .!/ %&''&(")* %,#!"&) P :::6nn6CC9 Yb,5-'/# %&0 ,)*'/# P W6Rq6RMWu6RL6RM RNu6LL6fL ,)2 #& &)9 J. "# -&##"4'/ .& ")#/0. .!/ *"8/) ,)*'/# ") %3''2/*0//#6 &)'1 41 .!/ 2/*0// *0,2/6 %&0 /b,5-'/ P XM @%&0 XM 2/*0//#A9G'/,#/ )&."+/ P !/ ,)*'/# %&05,. ") >&&02"),./# Z/&5/.01 "# 2"%%/0/). %0&5.!/ %&05,. ,. :"#.&5,. 2,., +&5-3.,."&)6 (!/0/ ,)*'/# ,0/ /)./0/2 (".!&3.#/-,0,."&)9

D&0<")* ") *0,2#P!/ ,)*'/ ") *0,2# ("'' 4/ /)./0/2 ,# 3#3,'6 ")+'32")* , 2/+"5,' -&").6 "%

)//2/29

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

>'"+< ]=--'1_ .& -/0%&05 .!/ ")./0#/+."&)9 !/ -0&*0,5 ("'' -0/#/). .!/+&&02"),./# &% .!/")./0#/+."&) @"% .!/ 2,., "# 4/")* ")./0#/+./2vA6 ,'#& ") %"/'2# ]T_ ,)2 ]d_9 !/+&5-3.,."&) 0/-&0. ("'' 4/ 3-2,./2 ,++&02")*'19

Intersection by arc and a straight line

 =+."8,./ ; ]Z/&5/.01 ;l J)./0#/+."&) '")/;,0+_ %0&5 .!/ 5,") 5/)39 !/ (")2&(("'' &-/) %0&5 .!/ 0"*!.9

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 %")2")* .!/ ")./0#/+."&) -&"). 4/.(//) .!/ ,0+ 2/%")/2 41 ".#+/)./0 -&"). ,)2 0,2"3#6 ,)2 .!/ '")/ 2/%")/2 41 .(& -&").#9 J) .!/ %"/'2# &% .!"#(")2&( /)./0P

>/)./0 -&"). ; .!/ +/)./0 -&"). &% .!/ ,0+9g,2"3# Q .!/ 0,2"3# &% .!/ ,0+9\0&5 -&"). Q .!/ %"0#. -&"). &) , #.0,"*!. '")/9& -&"). ; .!/ #/+&)2 -&"). &) , #.0,"*!. '")/9F/( -&"). R; .!/ ),5/ &% .!/ %"0#. ")./0#/+."&) -&"). %&0 +0/,."&)9F/( -&"). L Q .!/ ),5/ &% .!/ #/+&)2 ")./0#/+."&) -&"). %&0 +0/,."&)9

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

>'"+< ]=--'1_ .& -/0%&05 .!/ ")./0#/+."&)9 !/ -0&*0,5 ("'' #!&( .!/")./0#/+."&)+&&02"),./ -&").# ") %"/'2# ]T_ ,)2 ]d_ &% ]G&"). R_ ,)2 ]G&"). L_9 !/+&5-3.,."&)0/-&0. ("'' 4/ 3-2,./2 ,++&02")*'19

Intersection point between two lines

 =+."8,./ ; ]Z/&5/.01 ;l J)./0#/+."&) '")/;'")/_ %0&5 .!/ 5,") 5/)39 !/(")2&( ("'' &-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 %")2")* .!/ ")./0#/+."&) -&"). 4/.(//) .(& '")/#9 J) .!/ %"/'2#&% .!"# (")2&( /)./0P

G&"). R; .!/ %"0#. -&"). &) .!/ %"0#. '")/9G&"). L ; .!/ #/+&)2 -&"). &) .!/ %"0#. '")/9

G&"). R ; .!/ %"0#. -&"). &) .!/ #/+&)2 '")/9G&"). L Q .!/ #/+&)2 -&"). &) .!/ #/+&)2 '")/9F/( -&"). Q .!/ -&"). ),5/ .& 4/ +0/,./29

A2.0X d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*

]Y)./0_9

>'"+< ]=--'1_ .& -/0%&05 .!/ ")./0#/+."&)9 !/ -0&*0,5 ("'' #!&( .!/")./0#/+."&) +&&02"),./ -&").# ") %"/'2# ]T_ ,)2 ]d_9 !/ +&5-3.,."&) 0/-&0. ("''4/ 3-2,./2 ,++&02")*'19

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Locating points on a line

 =+."8,./ Q ]^-/0,./ Z/&5/.01 ;l H&+,./ -&"). &) , '")/_ %0&5 .!/ 5,") 5/)39

!/ (")2&( ("'' &-/) %0&5 .!/ 0"*!.9

d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

!"# &-."&) "# %&0 +,'+3',.")* -&").# &) , '")/9 J) .!/ %"/'2# &% .!"# (")2&( /)./0P

\0&5 -&"). Q = -&"). &) , #.0,"*!. '")/ .!,. #/08/# ,# .!/ #.,0.")* -&"). %&0+&5-3.")* -&").#9 @.!/ #.,0.")* -&"). "# .!/ -&"). %0&5 (!"+! 2"#.,)+/# ,0//)./0/2A9& -&"). Q .!/ #/+&)2 -&"). &) , '")/9

F&./P =%./0 .!/ .(& -&").# .!,. 2/%")/ .!/ '")/ (/0/ *,.!/0/26 .!/ 2"#.,)+/4/.(//) .!/#/ .(& -&").# ("'' ,--/,0 ") .!/ 4&..&5 %"/'2 @3)2/0 .!/ ]T_ ,)2 ]d_%"/'2#A9

:"#.,)+/ Q !/ 2"#.,)+/ &% .!/ )/( -&").e-&").# +&5-3./2 %0&5 .!/ %"0#.<)&() -&"). &) .!/ ,0+9 !"# 2"#.,)+/ +,) 4/P

 = #")*'/ #-,+/ Q ") .!"# +,#/ .!/ #")*'/ -&"). ("'' 4/ +&5-3./2 ,++&02")* .&.!/ 2"#.,)+/

.!,. (,# /)./0/29

 = %&053', ") %&05,. Tld P K (".! ]T_ ,# .!/ 2"#.,)+/ &% .!/ %"0#. -&"). .& .!/+0/,."&)6 ]d_ .!/ 2"#.,)+/ &% .!/ ',#. -&"). .& +0/,."&)6 ,)2 ]K_ .!/ 2"#.,)+/4/.(//) .!/ -&").#9 \&0 /b,5-'/ RMP WMwM9 !/ -0&*0,5 ("'' 2"#.0"43./ -&").#,+0&## .!/ ,0+ ,. #.,."&)# .!,. 8,01 %0&5 M .& WM6 /,+! RM 5/./0#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ .(& <)&() -&").# .& ]T_ /[3,' -,0.# Q`eTa9 \&0 /b,5-'/6 /)./0")* eW6 ("'' 2"8"2/ .!/ #/*5/). .&; W /[3,' -,0.#9:"8"#"&) &% .!/ #/*5/). 4/.(//) .!/ .(& <)&() -&").# 41 .!/ 2"#.,)+/ &% ]T_5/./0# Q`TPa9 \&0 /b,5-'/6 /)./0")* LP6 ("'' +0/,./ -&").# /8/01 L 5/./0# &).!/ ,0+9

F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!/ -0&*0,5 ("'' +0/,./9 J) +,#/ ,

*0&3- &% -&").# "# %&053',./26 .!/ -0&*0,5 ("'' )354/0 .!/#/ -&").# #.,0.")*%0&5 .!/ )354/0 .!,. (,# %"0#. /)./0/2 ") .!/ %"/'29

A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,)2 /)./0 .!/5 ").& .!/ -&").# '"#. @.&-&*0,-!1 +&&02"),./# '"#. &0 2/#"*)/2+&&02"),./# '"#.A6 ,# (,# 2/%")/2 41 ") .!/ ]C/..")* D")2&(_ @#// #/+."&)`>&&02"),./# Z/&5/.01 :/%")"."&)#aA9 J% , #")*'/ -&"). "# +&5-3./26 ".#+&&02"),./# ("'' ,--/,0 ") %"/'2# ]T_ ,)2 ]d_ ") .!/ (")2&(6 ,# (/''>'"+<")* &) .!/ 0/-&0. 43..&) ("'' ,+."8,./ .!/ ]0/-&0. (")2&(_ ") (!"+! .!/

+300/). +&5-3.,."&) ("'' 4/ 2"#-',1/29

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Locating a point by azimuth and distance

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5/)39 !/ (")2&( ("'' &-/) %0&5 .!/ 0"*!.9

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A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

& -/0%&05 .!/ +&5-3.,."&) +'"+< ]=--'1_9 !/ -0&*0,5 ("'' +&5-3./ .!/ -&").#,)2 /)./0 ". ").& .!/ -&").# '"#. @.&-&*0,-!1 +&&02"),./# '"#. &0 2/#"*)/2

+&&02"),./# '"#.A6 ,# (,# 2/%")/2 ") .!/ ]C/..")* D")2&(_ @#// #/+."&)`>&&02"),./# Z/&5/.01 :/%")"."&)#aA9 !/ +&&02"),./# -&").# ("'' ,--/,0 ")%"/'2# ]T_ ,)2 ]d_ &% .!/ (")2&(9 >'"+<")* &) .!/ 0/-&0. 43..&) ("'' ,+."8,./ .!/]0/-&0. (")2&(_ (!"+! ("'' 2"#-',1 .!/ +300/). +&5-3.,."&)9

Locating a point by distance and angle

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

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!"# &-."&) "# %&0 +&5-3.")* , -&"). 41 2"#.,)+/ %0&5 , <)&() -&").6 ,)2&0"/).,."&) ,)*'/ +0/,./2 %0&5 .!/ #,5/ -&"). ,)2 %0&5 ,)&.!/0 <)&() -&").9J) .!/ %"/'2# &% .!"# (")2&( /)./0P

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D/ /5-!,#"7/ !/0/ .!,. .!/ ,)*'/# ("'' 4/ /)./0/2 +&5-'/./'16 #/-,0,./2 41+&55,# ") .!/ %&''&(")* %,#!"&) P :::6nn6CC9 Yb,5-'/# %&0 ,)*'/# P W6Rq6RMWu6RL6RM RNu6LL6fL ,)2 #& &)9 J. "# -&##"4'/ .& ")#/0. .!/ *"8/) ,)*'/# ") %3''2/*0//#6 &)'1 41 .!/ 2/*0// *0,2/6 %&0 /b,5-'/ P XM @%&0 XM 2/*0//#A9

G'/,#/ )&."+/ P !/ ,)*'/# %&05,. ") .!/ >&&02"),./# Z/&5/.01 "# 2"%%/0/).%0&5 .!/ %&05,. &% .!/ :"#.&5,. 2,., +&5-3.,."&) (!/0/ ,)*'/# ,0/ /)./0/2(".!&3. #/-,0,."&)9

:"#.,)+/ Q .!/ 2"#.,)+/ .& , )/( -&").9F/( -&"). Q .!/ ),5/ &% .!/ )/( -&"). .!/ -0&*0,5 ("'' +0/,./9

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d&3 +,) 3#/ ]G"+<_ ,)2 ]H&+,./_ ,# /b-',")/2 ") #/+."&) `*/)/0,' 0/5,0<#a9

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A2.0P d&3 +,) 5&8/ 4/.(//) .!/ 2"%%/0/). %"/'2# ") .!/ (")2&(6 41 +'"+<")*]Y)./0_9

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Parallel lines

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G&"). R Q !/ %"0#. <)&() -&"). &) , '")/9G&"). L Q !/ #/+&)2 <)&() -&"). &) , '")/9^%%#/. Q !/ 2"#.,)+/ 4/.(//) .!/ .(& -,0,''/' '")/#9 !"# 2"#.,)+/ ("'' 4//)./0/2 ,# , -&#"."8/ )354/0 (!/) .!/ -,0,''/' '")/ "# .& .!/ 0"*!. .& .!/ <)&()'")/6 ,)2 ,# , )/*,."8/ )354/0 (!/) .!/ -,0,''/' '")/ "# '/%. .& .!/ <)&() '")/9!/ 2/%")"."&)# `'/%.a ,)2 `0"*!.a ("'' 4/ 2/./05")/2 ,++&02")* .& .!/ &02/0 &%.!/ -&").# .!,. 2/%")/ .!/ <)&() '")/ @G&"). R6 G&"). LA9F/( -&"). R Q .!/ )/( -&"). %&0 +&5-3.,."&) &) .!/ -,0,''/' '")/9 !"# -&"). "#+&3)./0 .& G&"). R9F/( -&"). L Q .!/ #/+&)2 -,0,''/' -&"). %&0 +&5-3.,."&) &) .!/ -,0,''/' '")/9!"# -&"). "# +&3)./0 .& G&"). L9

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]Y)./0_9

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Tangents

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("'' &-/) %0&5 .!/ 0"*!.9

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>/)./0 -&"). Q .!/ <)&() ,0+ +/)./0 -&").g,2"3# Q .!/ <)&() ,0+ 0,2"3#Yb./0),' -&"). Q .!/ <)&() -&"). &3.#"2/ .!/ ,0+ .!0&3*! (!"+! .!/ .,)*/).#'")/# +0&##9F/( G&"). R Q !/ %"0#. +&5-3.,."&) .,)*/).# -&").9F/( G&"). L Q !/ #/+&)2 +&5-3.,."&) .,)*/).# -&").9

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Chapter 13: Earthworks on

roads

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Earthworks computation on roads 

J) .!"# +!,-./0 (/ ("'' 2"#+3## Y,0.!(&0<# &) 0&,2#9>"8"'>=: LMMN "# &)/ &% .!/ '/,2")*6 +&)8/)"/). -0&*0,5# %&0 .!/ +&5-3.,."&)&% Y,0.!(&0<# ,+0&## 0&,2#9 >"8"'>=: LMMN "# ,'#& .!/ #.0&)*/#. .&&' %&0g&,2# :/#"*)9 J) .!"# +!,-./0 (/ ("'' %&+3#6 3#")* /b,5-'/#6 5&#.'1 &)[3,).".1 +&5-3.,."&)# ,)2 '/## &) .!/ 2/#"*) ,#-/+.6 <//-")* ") 5")2 .!,. ". "#)&. %3''1 -&##"4'/ .& 40/,< .!/5 3-9

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,)2 #.321 .!/"0 %3)+."&)#9

A2.0P J) &02/0 .& /b-,)2 1&30 <)&('/2*/ &) .!/ &-/0,."&) &% >"8"'>=: LMMN%&0 [3,)."."/# +&5-3.,."&)#6 ". "# 0/+&55/)2/2 .& 0/,2 #/+."&) `g&,2 :/#"*)_") +!,-./0 RS9 d&3 ("'' %")2 , 2/.,"'/2 2/#+0"-."&) &% ,'' &% .!/ -0&*0,5_#%3)+."&)# ,'&)* +/)./0 '")/# ,)2 0&,2#6 (!"+! ("'' 4/ 3#/%3' ,'#& %&0 +&5-3.")*[3,)."."/# ") #/+."&)#9

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.!/ 20,(")*9 \&0 +&5-3.,."&) &% Y,0.!(&0<# [3,)."."/#6 (/ ("'' 3#/ 5&#.'1 .!/]Y,0.!(&0<#_ %&05,.6 ,)2 %&0 2/#"*) Q ]:/#"*)_9 =)&.!/0 (&0< #.,.3# .!,. 53#. 4/ 2/%")/2 %0&5 .!"# (")2&( "# P >$0#4."25 @#//

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Creating mass haul diagram using Excel

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Chapter 14: Roads design

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Roads design 

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Organizing the project Roads list 

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Additional Functions in the Cross Sections Window 

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Super Elevations

In the cross sections section we have shown how to define a road’scross sections. We have dealt with defining a typical section, andshown how to project it in interpolation along the entire road. Wewill now show how it is possible to define Super Elevations along theroad. The principle of building Super Elevations is based on settingthe side slopes percentage at each change in slopes (beginning andend of transaction curves) and interpolate between these changes.

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3$2:0J0].V3$2:0=",-. ; \&0 .!/#/ %"/'2# .!/ 2/#"0/2 C3-/0Y'/8,."&)# ("'' 4//)./0/2 %&0 ,)1 #.,.3#9 d&3 +,) #// %0&5 .!"# #,5-'/ .!,. ,. .!/ #.,0. &% .!/C3-/0 Y'/8,."&) .!/ %&0 4&.! #"2/# "# QL ,. .!/ +308/ -/,< ,)2 3- .& .!/ +308//b". ". "# L6 ,)2 ,%./0 .!/ +308/ /b". ". "# L ,*,")9

J) .!/ .,4'/ #,5-'/6 L #.,."&)# @") ,22"."&) .& .!/ #.,."&) &% .!/ /)2 &% .!/ 0&,2A!,8/ 4//) +,'+3',./2 ,. .!/ 4/*"))")* ,)2 .!/ /)2 &% .!/ +308/9 C")+/ )&.0,)#"."&) +308/# /b"#. @.!/0/ "# )& +'&.!&"2 ") .!"# #,5-'/A (/ ("'' +0/,./ .!/.0,)#"."&) ,. .!/ %&''&(")* (,1PC.,)2 &) .!/ VC3-/0Y'/89 C.,."&)V +&'35) &% .!/ R#. .,)*/). 0&( @)/,0VZ/&5/.01 #.,."&) | WX9SqVA ,)2 /)./0 VSX9SqV %&''&(/2 41 VY)./0V9D/ !,8/ E3#. #/. .!/ .0,)#"."&) .& #.,0. RMn 4/%&0/ .!/ .,)*/). &% .!/ +308/9C.,)2 &) .!/ VC3-/0Y'/89 C.,."&)V +&'35) &% .!/ 0&( 4/'&( .!/ 2,., 1&3 !,8/ E3#. /)./0/26 0"*!.;+'"+< (".! .!/ 5&3#/6 ,)2 +!&&#/ VJ)#/0. 0&(V ") .!/ -3'';2&() 5/)39 J) .!/ )/( 0&( /)./0 VuX9SXV9D/ !,8/ E3#. #/. .!/ .0,)#"."&) .& 0/,+! ".# -/,< ,. RMn ,%./0 .!/ .,)*/).9g/-/,. .!/ -0&+/## %&0 .!/ #/+&)2 .,)*/).P /)./0 VLML9NXV ,. .!/ .,)*/).V#0&(6 &-/) , )/( 0&( 4/'&( ,)2 /)./0 VLLL9NXV9

 =. .!/ /)2 &% .!"# #.,*/ .!/ .,4'/ #!&3'2 4/ '"</ .!"#P

&0]"5"5, .-0 3W:0+ >$0#4."25/ /"10 /$2:0/

 =%./0 /)./0")* .!/ C9Y @C3-/0 Y'/8,."&)#A #.,."&)#6 (/ ("'' )&( -0/+/2/ .&

2/%")/ .!/ C9Y #"2/ #'&-/#9 J) &30 #,5-'/6 .!/ .1-"+,' +0&## #/+."&) "# 4//)2/%")/2 (".! , #"2/ #'&-/ &% V;LV %&0 '/%. ,)2 0"*!. ',)/#6 +0/,.")* , #.,)2,02

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+,54/0 %0&5 .!/ >9H9 !/ ',)/# @=#-!,'. #/*5/).#A !,8/ 4//) 2/%")/2 ,##/*5/).# V;RV ,)2 VRV9 !/0/%&0/6 (/ ("'' /)./0 .!/ C9Y #"2/ #'&-/# %&0 .!/#/#/*5/).#UP

U V;RV ,)2 VRV ,0/ .!/ 2/%,3'. #/*5/).# &% .!/ C9Y .,4'/ @-'/,#/ )&."+/ .!/+,-."&)# VC'&-/ '/%. } ;RV ,)2 VC'&-/ 0"*!. } RVA9 d&3 +,) 2/%")/ , #/-,0,./C9Y %&0 /,+! #/*5/). 41 +!&&#")* .!/ #/*5/). .& +&).0&' %0&5 .!/ 20&-;2&()'"#. &% #/*5/).# ,. .!/#/ +,-."&)#9

C.,)2 &) .!/ +/'' ,. .!/ VC'&-/ '/%.V +&'35) &% .!/ VSX9SqV #.,."&)V# 0&( ,)2/)./0 V;LV ,# .!/ #"2/ #'&-/9 n&8/ .& .!/ VC'&-/ 0"*!.V +&'35) @,. .!/ #,5/ 0&(A,)2 /)./0 V;LV ,*,")9!/ 4/*"))")* &% .!/ .0,)#"."&) ("'' #.,0. ,. #"2/ #'&-/# &% V;LV %&0 /,+! ',)/6/b,+.'1 ,# .!/ .1-"+,' +0&## #/+."&)9

C.,)2 &) .!/ +/'' ,. .!/ VC'&-/ '/%.V +&'35) &% .!/ VuX9SqV #.,."&)V# 0&( ,)2/)./0 VfV ,# .!/ #"2/ #'&-/9 n&8/ .& .!/ VC'&-/ 0"*!.V +&'35) @.!/ #,5/ 0&(A,)2 /)./0 V;fV9J) &30 #,5-'/ (/ ("'' #3-/0 /'/8,./ .!/ +308/ .& , 5,b"535 #"2/ #'&-/ &% f}9C")+/ .!/ +308/ "# .30)")* 0"*!. @)&."+/ .!/ #5,'' ,00&(V# 2"0/+."&) ") .!/*/&5/.01 +&'35)9 d&3 +,) ,'#& 8/0"%1 .!/ #,5/ %0&5 .!/ ',1&3.A6 .!/ '/%. ',)/("'' +!,)*/ %0&5 V;LV .& VfV @-&#"."8/A (!"'/ .!/ 0"*!. ',)/ ("'' +!,)*/ %0&5 V;LV .&V;fV9C.,)2 &) .!/ +/'' ,. .!/ VC'&-/ '/%.V +&'35) &% .!/ VLML9NXV #.,."&)V# 0&( ,)2/)./0 VfV ,# .!/ #"2/ #'&-/9 n&8/ .& .!/ VC'&-/ 0"*!.V +&'35) @.!/ #,5/ 0&(A,)2 /)./0 V;fV9!/ #'&-/# ("'' 0/5,") .!/ #,5/ %&0 .!/ /)."0/ +308/9 !/ +!,)*/# ") #'&-/#("'' #.,0. ,. .!/ /)2 &% .!/ +308/ (!"'/ VLML9NXV "# .!/ #.,."&) (!/0/ (/ !,8/2/+"2/2 .& #.,0. .!/ .0,)#"."&) 4,+<9C.,)2 &) .!/ +/'' ,. .!/ VC'&-/ '/%.V +&'35) &% .!/ LLL9NXV #.,."&)V# 0&( ,)2/)./0 V;LV ,# .!/ #"2/ #'&-/9 n&8/ .& .!/ VC'&-/ 0"*!.V +&'35) @.!/ #,5/ 0&(A,)2 /)./0 V;LV9 =. .!/ /)2 &% .!/ +308/ (/ ,0/ 4,+< ,. .!/ .1-"+,' >9CV# #"2/ #'&-/#P V;LV %&0 '/%.,)2 0"*!. ',)/#9

!/ +&5-'/./ .,4'/ #!&3'2 4/ '"</ .!"#P

>'"+< V^cV .& /b/+3./ .!/ #3-/0;/'/8,."&)9& #// .!/ ,%%/+. &% .!/ C9Y 1&3 +,) +'"+< @&) .!/ 0"*!. #"2/ .,4'/A &) ,)1

#/+."&) (".!") .!/ +308/ @#/+."&)# WM .& LLMA ,)2 )&."+/ .!/ +,00",*/ (,1#'&-/#9 & /%%/+. +!,)*/# ") .!/ 0&,2V# +&).&30# @2/#"*)/2 +&).&30#A 0/+0/,./

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.!/ ',1&3. @+'"+< .!/ ',1&3. 43..&) &) .!/ 0"*!. (")2&(6 5,0< ,'' %"/'2# ") .!/)/( (")2&( ,)2 -0/## V^cVA9

%11"."254$ ]W58."25/ "5 .-0 3W:0+ >$0#4."25/ 6"5126

3W:0+ 0$0#4."5, .-0 &0/",5 B7J Y/W\a,+410[ Q (!/) -/0%&05")* #3-/0/'/8,."&)# @") &30 /b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e0"*!. #.03+.30/ #/*5/). @TA 3#/2/#"*)/2 Z9H #/*5/).#P p99B1 +!&&#")* .!/ R#. &-."&)6 .!/ #&%.(,0/ ("'' 3#/ .!/ #,5/ #/*5/).# .& #3-/0;/'/8,./ .!/ V:/#"*) Z9HV ,)2 VC.03+.30/V9 I#")* .!/ L

)2 &-."&) ("'' 5,.+! .!/

#/'/+./2 V:/#"*) Z9HV #/*5/). @") .!/ 20&-;2&() '"#. ") .!/ )/( (")2&(A (".!.!/ VC.03+.30/V #/*5/). 4//) +!&#/) ,. .!/ +,-."&) &% .!/ C9Y (")2&(9

; !$04+ 4$$ 3W:0+ >$0#4."25/ /.4."25/ 451 4$$ "./ /$2:0/ Q .!"# 43..&)/0,#/# ,'' .!/ 2,., /)./0/2 ").& .!/ M3W:0+0$0#7 3.4."25_ ,)2 .!/ ]3$2:0/_9

; >+4/0 8W++05. 3W:0+ >$0#4."25/ /$2:0/ Q .!"# 43..&) /0,#/# .!/ 8,'3/#/)./0/2 ") .!/ +300/). '")/ 3)2/0 .!/ %"/'2# ]3$2:0 $0]._6 ]3$2:0 +",-.N9

; J241 /0,905. /W:0+a0$0#4."25 14.4 Q 0/,2 .!/ /)."0/ #3-/0 /'/8,."&)2,., %0&5 , ./b. %"'/ 4//) #,8/2 41 .!/ #&%.(,0/9

; 34#0 /0,905. /W:0+a0$0#4."25 14.4 Q #,8/ .!/ /)."0/ #3-/0 /'/8,."&).,4'/ ").& , ./b. %"'/6 ',./0 .& 4/ 0/,2 .& ,)&.!/0 -0&E/+. &0 ,)&.!/0 #/*5/).#9

; @5/0+. 45 09:.; +26 ; @,'./0),."8/'1 1&3 +,) 0"*!. +'"+< (".! .!/ 5&3#/,)2 #/'/+. VJ)#/0. 0&(V %0&5 .!/ -3'';2&() '"#.A9

; !2:; B027 /.4."25/ .2 3W:0+0$0#7 /.4."25/ Q >&-1 ,'' .!/ #.,."&)# %0&5.!/ VZ/&5/.01 #.,."&)#V +&'35) .& .!/ VC3-/0/'/89 #.,."&)#V +&'35)9

; 3051 /0,905.N/ /$2:0 4W.294."84$$; .2 2.-0+  /0,905./ ; define the

leader segments (on the upper part of the window) and then check

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the conforming segments that will inherit the leaders slope (on thelower part of the window). 

!-45,0 /-2W$10+/ 4882+1"5, .2 8W++05. /0,905./V!-45,0 8W++05./0,905./ 25$; Q !"# &-."&) +&).0&'# .!/ #/*5/).# .!,. ("'' 4/ ,%%/+./2 41

.!/ C3-/0 /'/8,."&)#P!-45,0 /-2W$10+/ 4882+1"5, .2 8W++05. /0,905./ Q D!/) #3-/0 /'/8,.")*

.!/ ',)/# #/*5/).#6 .!/ #&%.(,0/ ("'' ,3.&5,."+,''1 #3-/0 /'/8,./ .!/#!&3'2/0# #& .!/1 ("'' %&''&( .!/ ',)/V# #'&-/#9!-45,0 8W++05. /0,905./ 25$;; !/ #3-/0 /'/8,."&) ("'' ,%%/+. .!/ +300/).#/*5/).# @.,4'/A &)'19

Side ditches and additional cover functions 

C& %,06 (/ !,8/ #!&() !&( .& 2/#"*) , 0&,2 ,)2 ,'' ".# -,0.#6 #.,0.")* (".! .!/O&0"7&).,' ='"*)5/). ,)2 /)2")* (".! .!/ +0&## #/+."&)#9 D/ !,8/ ,'#& #!&()!&( .& 2/%")/ C3-/0 Y'/8,."&)#9 J) .!"# +!,-./0 (/ ("'' 2"#+3## .(& ,22"."&),'&-."&)# ") +0&## #/+."&)#P

:/%")")* #"2/ 2".+!/#9 =22"."&),' ]>&8/0_ %3)+."&)#9

&0]"5"5, 3"10 &".8-0/

:/%")")* #"2/ 2".+!/# ,'&)* .!/ 0&,2 "# 2&)/ 41 /)./0")* 2".+!/# 2,., ") .!/>0&## C/+."&)# D")2&( @M=241/ ac!+2// /08."25/NA ").& 2/#"*),./2 .,4'/#@]g"*!. 2".+!_ ,)2 ]H/%. 2".+!_A9

&0]"5"5, .-0 &".8- ?;:"84$ !+2// 308."25

&0/",5"5, &".8-0/ @5 !W.9

u9 >!,)*/ &)/ &% .!/ .,4'/# @Yb"#.")* Z9H9 &0 :/#"*)/2 Z9H9A .& Vg"*!.mH/%.2".+!V9

q9 :/%")/ .!/ 2".+!V# '/%. ,)2 0"*!. #"2/ #'&-/ ,)2 4&..&5 ("2.!9

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CivilCAD 2008 Reference manual

N9 :/%")/ .!/ 2".+!V# 2/-.! ") +3.9 !/ 2/-.! ("'' #.,0. %0&5 .!/ #/+."&)V# /2*/9

X9 !/ 2/-.! ("'' 4/ 2/./05")/2 41 .!/ r'&(/#.r 2,.356 ") .!"# +,#/ ; \0&5Yb"#.")* Z9H9 ,)2 .!/ 2/-.! ("'' 4/ +,'+3',./2 %0&5 .!/ 4&..&5 +/)./0 &% .!/2".+! .& .!/ Yb"#.")* Z9H9

>!/+< .!/ V\0&5 :/#"*) Z9H9V +!/+<4&b .& #.,0. .!/ 2".+! %0&5 .!/ 2/#"*)!/"*!.9 !/ 2/-.! ("'' 4/ +,'+3',./2 %0&5 .!/ 2/#"*) !/"*!.9

>!/+< .!/ V\0&5 C.03+.30/ '/89V >!/+<4&b .& #.,0. .!/ 2".+! %0&5 .!/#.03+.30/ !/"*!.9 !/ 2/-.! ("'' 4/ +,'+3',./2 %0&5 .!/ #.03+.30/ !/"*!.9

RM9 >!/+< .!/ V=. :/#"*) Z9H9V +!/+<4&b .& /)2 .!/ 2".+! ,. .!/ 2/#"*) !/"*!.9

RR9 >!/+< .!/ V=. C.03+.30/ '/8/'V +!/+<4&b .& /)2 .!/ 2".+! ,. .!/ #.03+.30/!/"*!.9

3051"5, 1".8-S/ 14.W9 .2 2.-0+ /08."25/ X

RL9 g"*!. +'"+< &) &)/ &% .!/ 2".+!V# 2,.359

Rf9 =. .!/ #/'/+."&) (")2&(6 +'"+< VF&V %&0 #/)2")* +300/). +/'' &)'1 &0 Vd/#V %&0,'' 2".+!9

14.  =. .!/ VC/)2 .&V (")2&(6 #/'/+. .!/ #/+."&) &0 #/+."&)# .!,. .!/ ditch's

datum will be sent to or click on the 'All' button for sending

the ditch's datum to all sections.

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CivilCAD 2008 Reference manual

&0/",5"5, &".8-0/ @5 K"$$

RW9 >!,)*/ &)/ &% .!/ .,4'/# @Yb"#.")* Z9H9 &0 :/#"*)/2 Z9H9A .& Vg"*!.mH/%.2".+!V9

Ru9 :/%")/ .!/ 2".+!V# '/%. ,)2 0"*!. #"2/ #'&-/ ,)2 4&..&5 ("2.!9

Rq9 >!/+< .!/ V\0&5 C"2/;#."+<V +!/+<4&b .& #.,0. .!/ 2".+! ,. .!/ +'&#30/ &% .!/#/+."&) (".! .!/ *0&3)29

RN9 >!/+< .!/ V\0&5 C/+9 /2*/V +!/+<4&b .& #.,0. .!/ 2".+! ,. .!/ #/+."&)V#/2*/9

RX9 J% .!/ #/+."&)V# /2*/ "# @J) \"''A "# !"*!/0 .!,) .!/ 2/%")"."&) ") r\0&5#/+."&)V# /2*/r6 .!/ 2/-.! &% .!/ 2".+! ("'' 4/ 2/./05")/2 41 .!/ 2/%")"."&)") rJ) \"''r9

LM9 >!/+< .!/ V\0&5 :/#"*) Z9H9V +!/+<4&b .& #.,0. .!/ 2".+! %0&5 .!/ 2/#"*)!/"*!.9 !/ 2/-.! ("'' 4/ +,'+3',./2 %0&5 .!/ 2/#"*) !/"*!.9

LR9 >!/+< .!/ V\0&5 C.03+.30/ '/89V >!/+<4&b .& #.,0. .!/ 2".+! %0&5 .!/#.03+.30/ !/"*!.9 !/ 2/-.! ("'' 4/ +,'+3',./2 %0&5 .!/ #.03+.30/ !/"*!.9

LL9 >!/+< .!/ V=. :/#"*) Z9H9V +!/+<4&b .& /)2 .!/ 2".+! ,. .!/ 2/#"*) !/"*!.9

Lf9 >!/+< .!/ V=. C.03+.30/ '/8/'V +!/+<4&b .& /)2 .!/ 2".+! ,. .!/ #.03+.30/!/"*!.9

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fW9 :/%")/ .!/ &%%#/. ,)2 2O %&0 .!/0/ ("'' )&. 4/ , 2".+! "% .!/ 2"%%/0/)+/4/.(//) .!/ #/+."&)V# /2*/ .& .!/ &%%#/. 2/%")"."&) ("'' 4/ !"*!/0 .!,) .!/2O 2/%")"."&)9

3051"5, /-2W$10+S/ 14.W9 .2 2.-0+ /08."25/ X

fu9 g"*!. +'"+< &) &)/ &% .!/ 2,.359

fq9 =. .!/ #/'/+."&) (")2&(6 +'"+< VF&V %&0 #/)2")* +300/). +/'' &)'1 &0 Vd/#V %&0,'' 2".+!9

38.  =. .!/ VC/)2 .&V (")2&(6 #/'/+. .!/ #/+."&) &0 #/+."&)# .!,. .!/ datum

will be sent to or click on the 'All' button for sending thedatum to all sections.

!2:;"5, 14.4 "5.2 411"."254$ /08."25/

 =%./0 /)./0")* .!/ 2,., %&0 .!/ '/%. ,)2 0"*!. 2".+!6 (/ (&3'2 '"</ .& -0&E/+. .!/#,5/ 2,., ,'&)* .!/ /)."0/ 0&,29 n,</ #30/ 1&3 ,0/ ") .!/ %"0#. %"/'2 &% .!/ '/%.

/54,)<5/). 2,., @3$2:0 JA9 J% 1&3 ,0/ )&. ") .!"# %"/'26 '/%. +'"+< (".! .!/5&3#/ ")#"2/ .!"# %"/'29 J) &02/0 .& +&-1 .!/ 2,., .& .!/ 0/5,")")* #/+."&)#%&''&( .!/#/ #./-#P

>'"+< &) .!/ 0"*!. 43..&) ") .!"# %"/'2 @0"*!. 5&3#/ +'"+<A9!/ -0&*0,5 ("'' ,#< "% 1&3 ("#! .& +&-1 .!/ /)."0/ 2".+!V# 2,., &0 E3#. .!/ %"/'21&3 +'"+</2 &) Q 8", .!/ 2",'&* 4&b M3051 .-0 6-2$0 1".8-w_ >'"+< Vd/#V .&+&-1 .!/ /)."0/ 2,.,9!/ -0&*0,5 ("'' -0/#/). , (")2&( +&).,")")* .!/ '"#. &% #/+."&)#9 \0&5 .!"#(")2&(6 5,0< .!/ #/+."&)# 1&3 ("#! .& +&-1 .!/ +300/). #/+."&) .&6 ,)2 +'"+<]^c_9 d&3 +,) +!&&#/ .!/ 2/#"0/2 #/+."&)# 41 5,0<")* .!/5 &0 .1-")* .!/"0

),5/# )/b. .& ]A490/_9 J) &02/0 .& +&-1 .!/ 2,., ").& ,'' .!/ #/+."&)#6 +'"+< &)

.!/ 43..&) .& 5,0< .!/ /)."0/ '"#.9>'"+< ]^c_9g/-/,. .!"# -0&+/## %&0 .!/ #/+&)2 2".+! ,# (/''9J)./0-&',./ .!/ /)."0/ #/+."&)#U Q -0/## .!/ V")./0-&',./ /5-.1 #/+."&)#V 43..&)") .!/ 0"*!. (")2&( ,)2 ") .!/ )/( (")2&(6 -0/## V^cV %&0 V='' 2/#"*)V9d&3 +,) )&( 5&8/ 4/.(//) .!/ /)."0/ #/+."&)# ,)2 #// .!/ 0/#3'. &% .!/2".+!/#V -0&E/+."&)9

U F&./P =%./0 /,+! -0&E/+."&) &% 2,., @'/%. 2".+!6 0"*!. 2".+!6 4/05# /.+9A .&

#/8/0,'e,'' #/+."&)#6 1&3 53+! ")./0-&',./ .& 0/+,'+3',./ .!/ #/+."&)9 ='./0),."8/'1 1&3 +,) *& .& /,+! #/+."&) ,)2 -0/## V=--'1V ") .!/ 0"*!. (")2&(9

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

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CivilCAD 2008 Reference manual

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Chapter 15: retaining walls

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Designing retaining walls

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Designing retaining walls Attached to road (Format 1)

Creating the walls list

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Horizontal Alignment

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Vertical Alignment 

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Wall dimensions (Cross section)

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#-/+"%"/29 & 8"/( .!/ ,%&0/5/)."&)/2 #.,)2,02 (,''6 +'"+< &) 9@= #/+&)2 +'"+< ("'' 0/2"#-',1 .!/ 2"5/)#"&)# #-/+"%"/29

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Designing free standing retaining walls (Format 2)

Creating the walls list

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R7 :HYjYH R @B,+< :/#"*) ZHA!7 HYjYH L @D,''A&7 :HYjYH L @B,+< :/#"*) ZHA

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Vertical Alignment 

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Wall dimensions (Cross section)

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R9 >'"+< P4$$ac &"905/"25/ ") .!/ 5,") 5/)3 .& &4.,") .!/ 2"5/)#"&)2/%")"."&) (")2&(9

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>5.0+"5, ]2+9W$4 ,050+4.01 /:08"]"84."25/

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Report generation

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Chapter 16: Extract and

urban design 

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Extract and urban design 

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Defining the project centerlines

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Chapter 17: Ditch Design

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Ditch Design

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L0.-21 RX

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Chapter 19: Designing gas

pipelines

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Chapter 20: Drainage and

Sewage Pipeline Design

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Chapter 21: Water pipeline

design

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Chapter 22: Cables lines

design

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Defining the maintenance boxes size

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Marking crossings of the cable line with other

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Designing sections

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Producing Reports

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CivilCAD 2008 Reference manual

Chapter 23: General Issues 

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General Issues 

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CivilCAD 2008 Reference manual

Creating a coordinates frame

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'&+,."&) ,)2 2/#"0/2 ,)*'/ 41 3#")* , +'&#/2 G&'1'")/ .& 2/%")/.!/ %0,5/ 4&02/0#9 >'"+< ]C/'/+._6 5,0< .!/ %0,5/ 1&3 !,8/+0/,./2 ") .!/ 20,(")* ,)2 +'"+< ]Y)./0_9

(7 I"8Z a +'"+< &) .!"# 43..&)6 .!/) 5&8/ .& .!/ 20,(")* ,)2 5,0<

.!/ %"0#. 4,#/ +&0)/06 .!/ #/+&)2 +&0)/0 ,)2 .!/ .&- 3--/0 +&0)/0") .!0// +'"+<#9

f9 !$"8Z"5, &) ("'' 2/./05")/ .!/ /)."0/ 20,(")* 4&02/0 ,# .!/%0,5/ 4&02/09

S9 =)&.!/0 &-."&) "# .& 5,)3,''1 ")#/0. .!/ +&0)/0# +&&02"),./#8,'3/# ") .!/ %"/'2#P]>51 82+50+ _6 SR4/0 ]"+/.N6 SR4/0 /08251N9

>'"+< &) .!/ 43..&) .& 2/./05")/ .!/ 4&02/0# %&0 .!/ +300/).%0,5/9

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J% 1&3 ("#! .& 2/%")/ ,22"."&),' #1#./5# #34#/[3/). .& .!/ 2/%")"."&) &% .!/

%"0#. #1#./5 +'"+< 9J) &02/0 .& ,22 ,)&.!/0 %0,5/ .& .!/ '"#. 0/-/,. .!/ #./-# %0&5 .!/4/*"))")* 3- .& .!"# #.,*/ ,# 5,)1 ."5/# ,# .!/ 2/#"0/2 %0,5/#9J. "# -&##"4'/ .& +0/,./ .!/ #!//. &% .!/ +300/). %0,5/ &)'16 41+'"+<")* &) ]^c_6 &0 41 +'"+<")* M%::$;N ,%./0 2/%")")* ,'' .!/ %0,5/#9

Determining project parameters

D!/) >"8"'>=: LMMN -/0%&05# *0&3)2 '/8/' +&5-3.,."&)# ") , -0&E/+.6 .!/3#/0 "# 3),4'/ .& #// .!"# +,'+3',."&)9 !"# +,'+3',."&) "# 2&)/ ,++&02")* .&+/0.,") -0/+"#"&)9 J) #&5/ +,#/# 230")* Y,0.!(&0<# +&5-3.,."&)# 1&3 ("''(,). .& */. /8/) 5&0/ ,++30,./ 0/#3'.#9 C/..")* .!/ #1#./5 .& /)!,)+/

-0/+"#"&) ") ".# +&5-3.,."&)# 5/.!&2 +,) 2& .!"#9 J) &02/0 .& 2/%")/ .!/-0/+"#"&) 1&3 53#. 0/-/,. .!/ #./-# 4/'&(P

 =+."8,./ ]B050+4$ ac I+2`08. I4+490.0+/_9I)2/0 .!/ !/,2")* ]CYGC_ +!&&#/ .!/ -0/+"#"&) '/8/' %&0 ]T_ ,b"# ,)2 ]d_,b"#6 (".! 5,b"535 -0/+"#"&) 4/")* M9LW9

A2.0X  ") ',0*/ .&-&*0,-!1 -0&E/+.#6 +!&&#")* 5,b"535 -0/+"#"&) 5"*!.+,3#/ +/0.,") +&5-3./0# .& (&0< 8/01 #'&('1 (".! .!/ #&%.(,0/ @,++&02")*.& -0&+/##&0 #-//2A9

Computations of poles offsets

>"8"'>=: LMMN ,''&(# %&0 -&'/# &%%#/.# +&5-3.,."&)#9 !/ +&5-3.,."&) "#4,#/2 &) .!/ 2/#"*)/2 -&'/# &%%#/.# +,'+3',."&)# &) .!/ 20,(")* ,)2 %"/'25/,#30/5/).#9!/ -0&*0,5 -/0%&05# .!"# +,'+3',."&) 41 +&5-,0")* 4/.(//) /b"#.")* ,)22/#"*)/2 #.,.3#6 2"#-',1")* , 2/.,"'/2 0/-&0. &% /,+! -&"). 5/,#30/2 ") .!/%"/'26 ".# &0"*"),' 2/#"*)6 !&0"7&).,' 8/0."+,' ,)2 */)/0,' &%%#/.9\&''&(")* .!/ 0/-&0. 2"#-',1 &% .!"# +&5-3.,."&)6 .!/ -0&*0,5 ("'' +0/,./ )/(

',1/0# &) .!/ &0"*"),' 20,(")*9 J) .!/#/ ',1/0# ("'' ,--/,0 ,00&(# ,)22"#.,)+/# .!,. 5,0< .!/ !&0"7&).,' 8/0."+,' ,)2 */)/0,' &%%#/. 4/.(//) /b"#.")*,)2 2/#"*)/2 #.,.3#9 =++&02")* .& .!/#/ #./-# , %/( -0/-,0,."&)# 53#. 4/5,2/ &) .!/ &0"*"),' 20,(")* ") &02/0 %&0 .!/ -0&*0,5 .& -/0%&05 +,'+3',."&)#.!/ 0"*!. (,19

&+46"5, :+0:4+4."25/ /.0:/X

R9 = -0/+"#"&) +!,)*/ ") 5/,#30/5/).# 41 .0,)#%/00")* .!/5 .& , 5/./0#(&0< 5&2/ (".! -0/+"#"&) &% .!0// 2"*".# ,%./0 .!/ 2/+"5,' -&").9 !/-0/+"#"&) #1#./5 +,) 4/ +!,)*/2 %0&5 =3.&>=: 5/)3 41 +'"+<")*

]K2+94. acE5"./_9 >!&&#/ ]-0/+"#"&)_ %0&5 .!/ ]&+46"5, W5"./_ (")2&(.!,. &-/)# ,)2 #/'/+. .!/ .!0// 2"*".# ,%./0 .!/ 2/+"5,' -&").9

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L9 >!,)*")* .!/ 5/,#30/5/).# .& 5/./0# "# 2&)/ 41 (0".")* ]384$0 ac %$$_") .!/ =3.&>=: +&55,)2 03'/06 ,)2 #/'/+.")* 4,#/ ,)2 %,+.&0 @"% 1&3

!,8/ .0,)#%/00/2 %0&5 +/)."5/./0# .& 5/./0#6 (0"./ M9MR (!/) .!/+&55,)2 ]#+,'/;%,+.&0_ ,--/,0#A9F&./ Q .!/0/ 5,1 4/ ',1/0# .!,. ("'' )&. 4/ +!,)*/2 41 .!"# +&55,)2@:JnA9 !/#/ ',1/0# #!&3'2 4/ .30)/2 &%%9

f9 >!,)*/ .!/ 20,(")* ,)*'/ 41 +!&&#")* ]+2.4.0 ac 4$$_ %0&5 .!/ =3.&>=: +&55,)2 03'/06 ,)2 /)./0")* .!/ )/( ,)*'/ 2/#"0/2 %&0 .!/,'"*)5/). &% .!/ 20,(")*9

@5/0+."5, .-0 1+46"5, .2 .-0 :+2`08. 451 0^.+48."25 2] 14.4X

O,8")* +&5-'/./2 .!/ 20,(")* -0/-,0,."&) #.,*/6 +&).")3/ .& .!/ )/b. #./- &%/b.0,+.")* 2/.,"'#P

R9 ^-/) , )/( -0&E/+. ") >"8"'>=: LMMN9

L9 \0&5 .!/ =3.&>=: 5,") 5/)3 ,+."8,./P ]K"$0 ac D:05_ ,)2 +!&&#/ .!/20,(")* %"'/ (!"+! 1&3 !,8/ -0/-,0/29

f9 =%./0 .!/ 20,(")* ,--/,0#6 +!&&#/ ]B050+4$ ac K"$.0+"5,_ %0&5 .!/ 5,")

5/)39 \0&5 .!/ (")2&( .!,. &-/)# .!/ 0"*!.6 .(& '"#.# ("'' ,--/,09 !/.&- '"#. ("'' +&).,") ,'' .!/ ),5/# &% .!/ ',1/0# ,--/,0")* ") .!/ 20,(")*,)2 .!/ 4&..&5 ("'' !&'2 ,'' .!/ ),5/# &% /)."."/# .!,. !,8/ +&&02"),./2(!"+! +,) 4/ /b.0,+./29 J. "# -&##"4'/ .& 5,)3,''1 5,0< .!/ /)."."/# ,)2',1/0# %0&5 .!/#/ '"#.#6 &0 +'"+< &) ]/0$08._ .& *& .& .!/ 20,(")*"55/2",./'1 @.!/ +30#/0 ("'' .30) ").& , #5,'' #[3,0/A6 ,)2 +'"+< &) .!/2/#"0/2 %&059 =%./0 .!/ %&05 @&0 /)."."/#A !,# 4//) 5,0</26 +'"+< ]05.0+ _.& ,3.&5,."+,''1 5,0< .!/ 4&b/# ") .!/ 2/#"0/2 ',1/0# ,)2 #!,-/#9 &/b-,)2 &) ]\"'./0")*_ #// >!,-./0 Lf ]O,)2'")* .!/ :DZ \"'/#_9

S9 \0&5 .!/ ].&-&*0,-!16 2/#"*)_ &-."&)# +!&&#/ ]&-&*0,-!1_6 .& 5&8/.!/ #+,))/2 +&&02"),./# .& .!/ ].&-&*0,-!1;+&&02"),./#_ '"#.9

!/ #&%.(,0/ #+,)# .!/ 2/#"*),./2 ',1/0# ,)2 ,3.&5,."+,''1 )354/0# .!/-&").#V ),5/#9 J) &02/0 .& +!&&#/ .!/ -&").#V ),5/# 41 , #-/+"%"+ ',1/0 ") .!/4'3/-0"). @, ',1/0 .!,. +&).,")# ./b. %"*30/# .!,. #154&'"7/ .!/ -&").V# ),5/A6

&-/) .!/ &-."&) (")2&( 41 +'"+<")* .!/ 43..&) &0 #/'/+. .!/ ./b. ',1/0 %0&5.!/ (")2&(6 5,0< &-."&) rC/. ),5/# 41 ',1/0r ,)2 .!/)6 -0/## ^c

W9 >'"+< ]=--'1_ .& #+,) .!/ +!&#/) ',1/0#6 ,3.&5,."+,''1 )354/0 .!/-&").# ),5/#6 &0 +&&02"),./ .!/ #+,))/2 ),5/# ") .!/ ./b. ',1/0 @"% .!"#&-."&) "# #/'/+./2A6 ") ,22"."&) .& ,22")* .!/ +&&02"),./# .& .!/

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]?2:2,+4:-; 822+1"54.0/_ '"#. @") ',0*/ ,)2 +&5-'/b 20,(")*# .!"#+&55,)2 +,) .,</ , %/( 5")3./#9

>5.0+"5, .-0 904/W+0905./ "5.2 .-0 :+2`08.

O,8")* /b.0,+./2 .!/ 2/#"*)/2 2,., %0&5 .!/ 20,(")* .& .!/ -0&E/+.6 1&3 +,)'&,2 .!/ #308/1/2 %"'/9

>'"+< @'&,2 %0&5 ./b. %"'/A 0"*!. &% .!/ +&&02"),./# '"#.6 ,)2 +!&&#/ .!/ ./b.%"'/ %&05 .!/ 4&b .!,. &-/)#9!/ %"'/ ("'' '&,2 ,)2 ,--/,0 ") .!/ +&&02"),./# '"#. @:/#"*)/2;+&&02"),./#A9

D]]/0./ 84$8W$4."25/

\&''&(")* .!/ +0/,."&) &% /b"#.")* ,)2 2/#"*)/2 #.,.3#6 ,'' .!,. 0/5,")# "# .&+&5-3./ .!/ &%%#/.#9

R9 \0&5 .!/ 5,") 5/)3 +!&&#/ ]B050+4$ ac :2$0/ 829:W.4."25/_ ,)2+!&&#/ .!/ 5,b"535 &%%#/. #"7/ ]94^"9W9 1"/.4580_9 >'"+< ]=--'1_,)2 .!/ -0&*0,5 ("'' ,3.&5,."+,''1 +&5-3./ .!/ &%%#/.# 4/.(//)/b"#.")* ,)2 2/#"*)/2 #.,.3#6 ,)2 -0&23+/ , 2/.,"'/2 0/-&0. ") .!/(")2&( .!,. &-/)#9 \0&5 .!"# (")2&( ". ("'' 4/ -&##"4'/ .& /".!/0 -0").

.!/ 0/-&0. &0 #,8/ ". ,# , ./b. %"'/9L9 J. "# ,'#& -&##"4'/ .& ")#/0. .!/ 0/-&0. &).& .!/ 20,(")* ".#/'% 41 +'"+<")*

 Q 9 >'"+< .!"# 43..&) .& 5&8/ .& .!/ 20,(")* ,0/, ,)2 5,0< .!/-',+/ (!/0/ 1&3 ("#! .& ,22 .!/ 0/-&0.9 >'"+< ]CY_ %0&5 .!/ =3.&>=:+&55,)2 03'/06 ,)2 .!/ 0/-&0. ("'' ,--/,0 &) .!/ 20,(")* @". "# -&##"4'/.& +!,)*/ ".# #"7/ 41 +!&&#")* .!/ 2/#"0/2 #"7/ %0&5 .!/ ]C+,'/ /)."."/#_'"#.A9

f9 >!,)*")* .!/ 8,'3/ ") .!/ ]C+,'/ ;l /)."."/#_ '"#. ,++&02")* .& .!/+&5-3.,."&) ("'' ,%%/+. .!/ ,00&(# #"7/ .!,. ("'' ,--/,0 )/b. .&

/8/01 -&").9

%11"."254$ 2:."25/ ]+29 .-0 MI2$0/ 829:W.4."25/N 6"5126

 =%./0 +'"+<")* &) .!/ ]=--'1_ 43..&)6 .!/ -0&*0,5 ("'' -0/#/). .!/ +&5-3./0"7/20/-&0. ,)2 &%%#/.# &) .!/ 20,(")*9 J. "# -&##"4'/ .& +&).0&' .!/ &%%#/. -0/8"/( 41#/'/+.")* &0 0/5&8")* ,)1 &)/ &% .!/ &-."&)# @5,0<")* ]j_ )/b. .& /,+! &-."&)("'' ")#.03+. .!/ -0&*0,5 .& -0/#/). ". &) .!/ 20,(")* ,%./0 .!/ +,'+3',."&)A9

&+465 2]]/0./ #4$W0/ ; !&0"7&).,' ,)2 8/0."+,' &%%#/. 8,'3/

&+465 2]]/0./ 4++26/ Q ,00&(# .!,. #!&( .!/ !&0"7&).,' ,)2 8/0."+,'&%%#/. 2"0/+."&)

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&+46 .2.4$ #4$W0/ _ .!/ */)/0,' &%%#/. 8,'3/ @/#."5,./ &% 2"0/+. 2"#.,)+/%0&5 /b"#.")* .& 2/#"*)/2 #.,.3#A9 &+46 .2.4$ 4++26/ Q ,00&(# .!,. -&"). .!/ 2"0/+."&) &% */)/0,' &%%#/.

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Chapter 24: Handling

*.DWG files

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Handling .DWG files

!"# +!,-./0 2"#+3##/# .!/ 2"%%/0/). ,+."8"."/# .!,. +,) 4/ -/0%&05/2 (".!>"8"'>=: LMMN &) =3.&>=: %"'/# Q U9:DZ %"'/#9 !/ &-."&)# #!&() ,0/ %&0/b-&0.")* 2,., %0&5 .!/ 20,(")*6 ,# #")*'/ 3)".# &% 2,.,6 &0 41 `%"'./0")* 2,.,a%0&5 ',1/0#9 !/ #/+."&)# ") .!"# +!,-./0 ,0/P

J5-&0.")* , U9:DZ %"'/9Yb-&0.")* -&").# %0&5 , 9:DZ %"'/9I#")* , %"'./0 .& /b-&0. -&").# ,)2 '")/# %0&5 , 9:DZ %"'/9C/..")* .!/ ),5/# &% .!/ %"'./0/2 -&").#C/..")* .!/ /'/8,."&) &% .!/ %"'./0/2 -&").#

Importing a *.DWG file

J5-&0.")* , :DZ %"'/ .& >"8"'>=: LMMN "# 3#3,''1 .!/ %"0#. -!,#/ ") 43"'2")* ,-0&E/+.9 d&3 ("'' )//2 .& "5-&0. .!/ %"'/ #& ". ("'' #/08/ ,# (&0< 4,+<*0&3)2 &0") &02/0 .& /b.0,+. %0&5 ". 8,0"&3# +&&02"),./# 2,., ,# /b-',")/2 ',./0 ") .!"#+!,-./09

\"0#.6 &-/) , )/( -0&E/+. ,)2 ),5/ ". @3#/ ]K"$0 ac A06 :+2`08.N6 ,# /b-',")/2") -0/8"&3# +!,-./0#A9

Z& .& ]K"$0 ac D:05N %0&5 .!/ 5,") 5/)3 &% =3.&>=:9>!&&#/ .!/ 2/#"0/2 :DZ %"'/ ") .!/ (")2&( .!,. &-/)#9 =%./0 #,8")* .!/-0&E/+. 41 SK"$0 ac 34#0S >"8"'>=: LMMN ("'' +&-1 .!/ #/'/+./2 %"'/ ").& .!/2"0/+.&01 ") (!"+! .!/ -0&E/+. (,# &-/)/2 ,)2 +!,)*/ ".# ),5/ .& .!/ -0&E/+.),5/ (".! .!/ ,22"."&) &% i9 \0&5 !/0/ &)6 /8/01 ."5/ .!"# -0&E/+. "# &-/)/26.!/ -0&*0,5 ("'' ,3.&5,."+,''1 &-/) .!/ +&-"/2 9:DZ %"'/ ,# (/''9

F&./P J% +/0.,") ,+."&)# (/0/ ,'0/,21 -/0%&05/2 ") .!/ -0&*0,56 #3+! ,#/'/8,.")* 5/,#30/5/). -&").6 +0/,.")* +&).&30 '")/#6 /.+96 .!"# ,+."&) ("'' /0,#/.!/ ',1/0# .!,. (/0/ ,'0/,21 +0/,./29 J) .!"# +,#/ 1&3 ("'' )//2 .& -/0%&05 .!/

0/+&)#.03+."&) &% -0&E/+.V# ',1/0# 41 +'"+<")* 43..&) 9

Extracting points from a .DWG file 

>"8"'>=: LMMN #3--'"/# ,) /,#1 .&&' %&0 .!/ ")-3. &% +&&02"),./# %0&5 , 9:DZ%"'/ %&0 .!/ -30-&#/ &% 5,0<")* .!/5 ") .!/ %"/'29 J) &02/0 .& ")-3. -&").# %0&5 ,9:DZ %"'/ -/0%&05 .!/ %&''&(")*P

^-/) , )/( -0&E/+. ,)2 "5-&0. , 9:DZ %"'/ .& ". ,# /b-',")/2 ") .!/ -0/8"&3#+!,-./06 VJ5-&0.")* , 9:DZ %"'/V9J) .!/ 4&..&5 (")2&( @]&-&*0,-!1 +&&02"),./#_A6 +!&&#/ ]G"+<_ %0&5 .!/ '"#.@G"+<6 H&+,./6 \0//7/99A9 J) .!/ =3.&>=: +&55,)2 03'/0 @>&55,)2PA 1&3 ("''#// .!/ +,-."&)P ]G"+< -&").ewRMMMl_9 J% 1&3 ("#! .& )/( -&")._# ),5/ .& 4/

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#&5/.!")* &.!/0 .!,) RMMM6 /)./0 ".# )/( )354/0 ,)2 +'"+< ]Y)./0_9 !/+&55,)2 03'/0 ("'' +!,)*/ ,++&02")*'19n&8/ .& .!/ 20,(")* ,0/, ,)2 #/'/+. .!/ -&"). 1&3 ("#! .& ")-3. 3#")* 1&30

5&3#/9 d&3 +,) 3#/ ,'' &% =3.&>=: ]^4E/+. C),-_ &-."&)# @#3+! ,# Y)2-&").%&0 /b,5-'/A6 ") &02/0 .& +!&&#/ ,) /b,+. -&").9 =%./0 .!/ -&"). !,2 4//)#/'/+./26 ". ("'' ,--/,06 ),5/ ,)2 +&&02"),./6 ") .!/ 4&..&5 -&").# '"#.9>&).")3/ #/'/+.")* .!/ 0/5,")")* -&").#9

^)+/ 1&3 %")"#! ")-3..")* .!/ -&").#6 +'"+< ") .!/ 0"*!.;!,)2 (")2&(9!/ -&").# 1&3 !,8/ #/'/+./2 ("'' 4/ ,22/2 .& .!/ 20,(")*9 >&).")3/ #/'/+.")*5&0/ -&").# 3)."' 1&3 &4.,") .!/ 2/#"0/2 '"#.9

:30")* .!/ -&"). ")-3. -0&+/##6 ". "# -&##"4'/ .& 3#/ /2".&0 &-."&)# #3+! ,#

/0,#")* ,) ")+&00/+. -&"). (".! .!/ /0,#/ 43..&) 6 +!,)*")* .!/ ),5/# &% ,

)354/0 &% -&").# 41 5,0<")* .!/5 ,# ]4'&+<_6 ,22")* , #-/+"%"+ +!,0,+./0 /.+9@%&0 , 2/.,"'/2 2/#+0"-."&) &% .!/ /2".&0 %3)+."&)#6 #// .!/ >!,-./0 LP`>&&02"),./# :,.,4,#/aA9

3W,,0/.01 62+Z :+280//X

^)/ &% .!/ 5&#. +&)8/)"/). (&0< -0&+/##/# "# ")-3..")* , -0&E/+.6 /2".")* ,''.!/ -0&E/+. -&").# %"0#.6 .!/) *0,-!"+,''1 #/'/+.")* .!/ -&").# 41 '&+,."&)#9 D/("'' /b-',") !&( .& 3#/ .!/ -0&*0,5 3#")* .!"# 5/.!&2P

^-/) , )/( -0&E/+. ,)2 "5-&0. , :DZ %"'/ ").& ".9I#/ .!/ ,+."&)# '/,0)/2 ") .!"# +!,-./0 .& /2". .!/ 5/,#30/5/). -&").# %&0/,+! -0&E/+.9 n&8/ (".! ]G"+<_ ,)2 +!&&#/ -&").#6 /2". .!/ -&").#_ ),5/ ,)2

)354/0")*6 +'"+< .& !,8/ .!/5 ,--/,0 &) .!/ #+0//)9

C,8/ .!/ -0&E/+. 9 =%./0 #,8")*6 1&3 +,) +'&#/ .!/ -0&*0,5 ,)2 0/.30) .& ".,. ,)1 ."5/ ") &02/0 .& `/b.0"+,./a 2,., %0&5 .!/ -0&E/+.9

j>^.+"84."5,k 14.4 ]+29 4 ]"5"/-01 :+2`08.X

^-/) .!/ -0&E/+. (".! .!/ -&").# 1&3 !,8/ -0/-,0/29\0&5 .!/ 4&..&5 ]&-&*0,-!1 +&&02"),./#_ (")2&( +!&&#/ ]H&+,./_ %0&5 .!/'"#. @G"+<6 H&+,./6 \0//7/pA9 J) .!/ =3.&>=: +&55,)2 03'/0 @>&55,)2PA1&3 ("'' #// .!/ +,-."&)P ]:2$;,25@5V:2$;,25DW.Vt3"5,$0cVY>/8[51_9 Y)./0 `Ja@-&'1*&)J)A ,)2 +'"+< ]Y)./0_9 !/ +,-."&) ") .!/ +&55,)2 '")/ ("'' +!,)*/ .&P]\0&5 -&").e>'&#/e@Y#+A)2_9 Z& &8/0 .& .!/ 20,(")* ,0/, ,)2 4&02/0 .!/ ,0/,%0&5 (!"+! 1&3 ("#! .& /b-&0. -&").#9 & +&5-'/./ .!/ ,+."&)6 +'"+< `>a@]>'&#/_A ,)2 ]Y)./0_9 >"8"'>=: LMMN ("'' '&+,./ .!/ -&").# (".!") .!/ ,0/, 1&35,0</26 ,)2 5,0< .!/5 ") .!/ 4&..&5 +&&02"),./# '"#.9

d&3 !,8/ #/8/0,' &-."&)#P

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CivilCAD 2008 Reference manual

>0/,.")* , %"'/ &% .!/ -&").# 1&3 5,0</2P 5,0< .!/ (&02 ]B'&+<_ ") .!/ 4&..&5

(")2&( (".! , ]8_9 >'"+< &) ]#,8/ -&").# ") , ./b. %"'/_ 9 d&3 ("'' */. .!/5/##,*/ `R$28Z 9210 "/ 25O /4#"5, 25$; \$28Z /0$08."25a9 >&)%"05 .!"#5/##,*/9 \0&5 .!/ %"'/ (")2&( .!,. ,--/,0#6 +!&&#/ .!/ %"'/ ),5/ 1&3 ("#!.& +0/,./ ,)2 #,8/ ".9 J) .!"# %"'/6 .!/ -0&*0,5 ("'' #,8/ &)'1 .!/ -&").# .!,.(/0/ 5,0</2 ") .!/ 4'&+<6 "9/9 .!/ -&").# .!,. (/0/ 4&02/0/2 41 .!/ -&'1*&)9

:"#-,.+!")* .!/ 5,0</2 -&").# .& .!/ ")#.035/).P 5,0< .!/ (&02 ]B'&+<_ ") .!/

4&..&5 (")2&( (".! , ]8_9 >'"+< &) .!/ ]:"#.&5,._ 43..&) 9 >&)%"05 .!/5/##,*/ 1&3 0/+/"8/9 !/ +&553)"+,."&) (")2&( ("'' &-/)9 >!&&#/ .!/2/#"0/2 -,0,5/./0# @")#.035/). 5,0</06 +&553)"+,."&) -,+/6 /.+9A9 G0/-,0/.!/ ")#.035/). %&0 2,., 0/+/"-. ,)2 +'"+< ]C/)2_9 !/ -0&*0,5 ("'' #,8/ .!/2,., ") .!/ ")#.035/).9

>0/,.")* , '"#. &% ,)*'/# ,)2 2"#.,)+/# %&0 .!/ 5,0</2 -&").#P \0&5 .!/ 5,")5/)3 *& .& ]B0290.+; ac &"/.4580 m %5,$0_9 = (")2&( ("'' &-/) &) .!/0"*!.9 J) .!/ ]C.,."&)_ %"/'2 /)./0 .!/ ),5/ &% .!/ #.,."&) %0&5 (!"+! .!/&4#/08,."&)# ("'' 4/ +,'+3',./29 \0&5 .!/ ]U0+2 :2"5._ (")2&(6 /)./0 .!/ ),5/

&% .!/ 0/'/8,)+/ -&"). .!,. ("'' #/08/ ,# , `Ma @"% .!/0/ "# )& #3+! -&").6 /)./0&)/ &% .!/ -&").# ")#./,2A9 F&( 3#/ ]H&+,./_ .& +!&&#/ .!/ -&").# &) (!"+! .!/&4#/08,."&)# ("'' 4/ +,'+3',./29 n,0< .!/ -&").# ") , 4'&+< @`ja )/b. .& .!/

(&02 ]B'&+<_ ") .!/ 4&..&5 (")2&(A6 ,)2 +'"+< &) .!/ 43..&) 9 !/ -0&*0,5("'' .0,)#%/0 .!/ '"#. &% -&").# 5,0</2 ,# , 4'&+</2 .& .!/ '"#. &% -&").# ") .!/

0"*!.;!,)2 (")2&(9 >'"+< M%::$;N ") .!/ 0"*!. (")2&(9 !/ -0&*0,5 ("''+,'+3',./ ,)2 -0/#/). , 0/-&0. &% 2"#.,)+/6 ,)*'/#6 ,)2 ,7"53.!# %&0 .!/ -&").#5,0</29

Using a filter to extract points and lines from a.DWG file 

 =# 0,( 5,./0",' %&0 .!/ +0/,."&) &% , f: 5&2/'6 >"8"'>=: LMMN )//2# .!/.&-&*0,-!1 #/..")*# +&&02"),./# %"'/9 ^%./) .!"# %"'/ "# )&. &) !,)26 ,)2 (/ &)'1!,8/ ,++/## .& .!/ 4,+<*0&3)2 %"'/6 ,# , 20,(")* ") :DZ %&05,.9 >"8"'>=:LMMN -0&8"2/# , +&)8/)"/). ,)2 /%%/+."8/ .&&' %&0 `/b.0,+.")*a !/"*!. -&").#%0&5 , 9:DZ %"'/P

^-/) , )/( -0&E/+. ,)2 "5-&0. .!/ 9:DZ %"'/ ").& ". ,# /b-',")/2 ,. .!/4/*"))")* &% .!/ +!,-./0 @#// `"5-&0.")* , 9:DZ %"'/aA9Z& .& ]B050+4$ ac K"$.0+"5,N %0&5 .!/ 5,") 5/)39 ^) .!/ 0"*!.;!,)2 #"2/6 .!/%"'./0 (")2&( ("'' &-/) (".! .(& '"#.#P .!/ 20,(")* ',1/0# '"#.6 ,)2 .!/ '"#. &%/)."."/# %&0 #/'/+."&)9n,0< .!/ '"#. 1&3 (,). .& %"'./0 ,)2 (!/0/ 1&3 (,). .& #,8/ .!/ 2,., 41+!&&#")* ?2:2,+4:-;V&0/",59H&+,./ .!/ 5/,#30")* -&").# ',1/0 (".!") .!/ 20,(")*6 ,)2 .!/ .1-/ &% /).".1

+!,0,+./0"7")* ". @G&").6 B'&+<6 /.+9A9

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CivilCAD 2008 Reference manual

F&./P .!/ 5/,#30")* -&").# 5,1 !,8/ #/8/0,' +!,0,+./0"#."+# #3+! ,# ]G&")._,)2 ]/b._9 d&3 #!&3'2 '&+,./ .!/ 5&#. -0/+"#/ /).".1 @,) /).".1 #3+! ,# ]/b._6%&0 /b,5-'/6 "# )&. ") .!/ -0/+"#/ '&+,."&) &% .!/ -&"). 43. , #5,'' 2"#.,)+/

,(,1 %0&5 ".A9

J) .!/ '"#. &) .!/ 0"*!.6 5,0< .!/ ',1/0 ,)2 #/'/+./2 .1-/ &% /).".1 &0 +'"+<30$08.6 5,0< &)/ &% #!,-/# 0/-0/#/).# .!/ ',1/0 ,)2 .!/ .1-/ &% /).".1 ,)2-0/## VYFYgV9 B1 3#")* VC/'/+.V .!/ -0&*0,5 ("'' ")2"+,./ .!/ ',1/0 ,)2 .!//).".1V# .1-/ ,3.&5,."+,''19>'"+< ]%::$;_9 !/ -0&*0,5 ("'' #+,) .!/ 20,(")* ,)2 %"'./0 .!/ 5/,#30")*-&").# 41 .!/ ',1/0 ,)2 /).".1 .!,. (/0/ +!&#/)9 D!/) .!/ -0&+/## "#+&5-'/./26 , '"#. &% 5/,#30")* -&").# ("'' ,--/,0 ") .!/ (")2&( ]&-&*0,-!1+&&02"),./#_ ,. .!/ 4&..&5 &% .!/ .&&'4,09

J% 1&3 (,). .& %"'./0 %0&5 , +/0.,") ,0/, +'"+< &) 43..&) 30$08. "5/"106"5126 ,. .!/ 0"*!.6 5&8/ .& .!/ 20,(")* ,)2 +'"+< &) .(& -,").# .!,. ("''

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\0&5 !/0/ 1&3 +,) +&).")3/ .& (&0< ,# 3#3,'6 ")+'32")* +0/,.")* +&).&30 '")/#6/.+9F&./#P

J. "# -&##"4'/ .!,. .!/0/ ,0/ -&").# (".! `Ma !/"*!. ") .!/ ',1/0 .!,. 1&3 !,8/+!&#/)6 (!"+! ("'' ")./003-. .!/ (&0< -0&+/##9 & 0/5&8/ .!/#/ -&").#6 2& .!/%&''&(")*P

J) .!/ 4&..&5 (")2&( +'"+< &) .!/ MK"51N 43..&) 9J) .!/ ]\")2_ (")2&( .!,. &-/)#6 #/'/+. ]O/"*!._6 ]=''_ ,)2 V=++30,./V9Y)./0 `Ma ") .!/ %"/'2 '")/ ,)2 +'"+< ]^c_9 !/ -0&*0,5 ("'' #"*),' ,)2 5,0< .!/-&").# (".! `Ma !/"*!.9

n,0< `ja )/b. .& .!/ (&02 ]B'&+<_6 ,)2 +'"+< &) .!/ ]/0,#/_ 43..&) %0&5 .!/43..&) +'3#./09 !/ -0&*0,5 ("'' /0,#/ ,'' -&").# (".! `Ma !/"*!.9

>'"+< .& 0/%0/#! .!/ 20,(")* ,)2 -0&+//2 ,# 3#3,'9

Setting the names of the filtered points

J% 1&3 !,8/ ,+."8,./2 .!/ %"'./0")* -0&+/## ") &02/0 .& /b-&0. -&").# %0&5 .!/20,(")* .& .!/ '"#.6 ,)2 1&3 ("#! .& 2/./05")/ .!/ -&").# ),5/# ,++&02")* .&.!/ ./b. ',1/0 +&).,")")* .!/ ),5/# )/b. .& /,+! -&").6 &0 41 ',1/0 +&).,")")*4'&+<# ") (!"+! .!/ -&"). ),5/# ,0/ 2/%")/2 Q -/0%&05 .!/ #./-# 2/.,"'/24/'&( ,)2 +'"+< ]=--'1_ %0&5 MB050+4$ ac K"$.0+"5,N9

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CivilCAD 2008 Reference manual

>'"+< &) .!/ ^-."&)# 43..&)  7n,0< ]j_ )/b. .& .!/ (0".")* M30. :2"5./ 5490/ \; $4;0+N \0&5 .!/ '"#. .!,. &-/)# 3)2/0  M3845 ]+29 $4;0+N +!&&#/ .!/ ',1/0+&).,")")* .!/ ),5/#9F/b. .& M3845 5490/ +41"W/N6 /)./0 .!/ 5,b"535 8,'3/ &% .!/ 0,2"3#

#+,)9 !/ -0&*0,5 ("'' #+,) %&0 /,+! -&"). ") .!/ *"8/) 0,2"3# ,)2 #/,0+!%&0 ./b. ") .!/ +!&#/) ',1/09 J% ". "# %&3)26 ". ("'' 3#/ .!/ ./b. 8,'3/ %&0 .!/-&")._# ),5/9J% 1&3 ,0/ %"'./0")* 4'&+<#6 ,)2 .!/ ),5/ "# %&3)2 ") .!/ MR$28ZN/N %..+"\W.0N ; 5,0< .!/ &-."&) ]%..+"\W.0N ,)2 +!&&#/ .!/ %0&5 3)2/0 ]C+,) %0&5 H,1/0_.!/ ',1/0 ") (!"+! =..0"43./ "# ")9>'"+< ]^c_ .& /b". .!/ ]C.,.3#_ (")2&( ,)2 ,+."8,./ %"'./0")* 41 +'"+<")*]%::$;_9

Setting the elevation of the filtered points

J) &02/0 .& /b-&0. -&").# %0&5 , 20,(")* ,)2 .& .!/ '"#. ,)2 2/./05")/ .!/-&").#_ !/"*!.# ,++&02")* .& .!/ ./b. ',1/0 +&).,")")* .!/ !/"*!.# )/b. .& /,+!-&").6 &0 41 ',1/0 +&).,")")* 4'&+<# ") (!"+! .!/ -&"). !/"*!._# ,0/ 2/%")/2 Q-/0%&05 .!/ #./-# 2/.,"'/2 4/'&( ,)2 +'"+< ]^c_ %0&5 ]Z/)/0,' ;l \"'./0")*_9

>'"+< &) .!/ ]C.,.3#_ 43..&) n,0< ]j_ )/b. .& .!/ (0".")* M30. :2"5./ -0",-. \; $4;0+N 

\0&5 .!/ '"#. .!,. &-/)# 3)2/0  M3845 ]+29 $4;0+N +!&&#/ .!/ ',1/0+&).,")")* .!/ ),5/#9F/b. .& M3845 -0",-./ +41"W/N6 /)./0 .!/ 5,b"535 8,'3/ &% .!/ 0,2"3#

#+,)9 !/ -0&*0,5 ("'' #+,) %&0 /,+! -&"). ") .!/ *"8/) 0,2"3# ,)2 #/,0+!%&0 ./b. ") .!/ +!&#/) ',1/09 J% ". "# %&3)26 ". ("'' 3#/ .!/ ./b. 8,'3/ %&0 .!/-&")._# !/"*!.9J% 1&3 ,0/ %"'./0")* 4'&+<#6 ,)2 .!/ !/"*!. "# %&3)2 ") .!/ MR$28ZN/N%..+"\W.0N ; 5,0< .!/ &-."&) ]%..+"\W.0N ,)2 +!&&#/ .!/ %0&5 3)2/0 ]C+,)%0&5 H,1/0_6 .!/ ',1/0 ") (!"+! M%..+"\W.0_ "# ")9>'"+< ]^c_ .& /b". .!/ ]C.,.3#_ (")2&( ,)2 ,+."8,./ %"'./0")* 41 +'"+<")*]%::$;V9

Downsizing the number of filtered points