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Page Title: Chapter 4 Drafting: Geometric Construction
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Engineering Aid 3 - Beginning Structural engineering guide book
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BISECTION OF A LINE

CHAPTER 4 DRAFTING: GEOMETRIC CONSTRUCTION Knowledge   of   the   principles   of   geometric construction  and  its  applications  are  essential to an Engineering Aid, As a draftsman, you must be  able  to  “construct”   or  draw  any  of  the various  types  of  lines.  In  a  line  drawing,  a  line may  be  a  straight  line,  a  circle,  an  arc  of  a circle  or  a  fillet,  a  circular  curve,  a  noncircular curve,  or  a  combination  of  these  basic  types  of lines. You  must  also  be  able  to  construct  line drawings  at  specified  angles  to  each  other, various  plane  figures,  and  other  graphic  repre- sentations  consisting  exclusively  of  lines.  This chapter  provides  information  that  will  aid you  in  drawing  different  types  of  geometric constructions. STRAIGHT  LINES One  method  of  drawing  horizontal  and vertical lines, perpendicular and parallel lines, and inclined  lines  is  by  using  a  straightedge  (or  a T   square)   with   a   triangle.   Another   practical method of constructing straight lines is by using a  drafting  compass. Figure 4-1 shows a method of drawing a line parallel  to  another  line.  Here,  the  line  is  to  be drawn  through  given  point  C.  To  draw  a  line through C parallel to AB, place the needlepoint of   the   compass   on   any   point   D   on   AB, and   strike   arc   CE.   Shift   the   needlepoint to  E,  maintaining  the  same  radius,  and  strike arc  DF.  Set  a  compass  to  a  chord  of  arc  CE, and  lay  off  the  chord  DF  from  D,  thus  locating point F. A line drawn through F and C is parallel to  AB. Figure 4-2 shows another method of drawing one line parallel to another, this one being used Figure 4-1.-Drawing a line through a given point, parallel to another line. Figure 4-2.-Drawing a parallel line at a given distance from another  line. when  the  second  line  is  to  be  drawn  at  a  given distance  from  the  first.  To  draw  a  line  parallel to AB at a distance from AB equal to CD, set a compass  to  the  length  of  CD,  and,  from any  points  E  and  F  on  AB,  strike  two  arcs.  A line A’B’ drawn tangent to (barely touching) the arcs  is  parallel  to  AB,  and  located  CD  distance from   AB. In the preceding chapter, you learned how to draw a line perpendicular to another by the use of   a   straightedge   and   a   triangle.   Two   other methods  of  solving  this  problem  are  explained below. 4-1

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