be measured. Extend line AO on to C; extend lineBO on to D. When you set the center of theprotractor at O, make sure that both points c anda are on line AC. Take your reading at point das well as at point b when you measure the angle.If you are laying off the angle BOA, protract andmark point d as well as point b; this gives youthree points (d, O, and b) for establishing line DB.If you are using a semicircular protractor, youcan’t, of course, locate point d; but your accuracywill be improved by lining up c, O, and a beforeyou measure or lay off the single angle BOA.PARALLEL ANDPERPENDICULAR LINESTo draw a line parallel to a given line (fig. 3-6,view A), adjust the hypotenuse of a triangle incombination with a straightedge (T square ortriangle) to the given line; then, holding thestraightedge firmly in position, slip the triangleto the desired position and draw the parallel linealong the hypotenuse.To construct a line perpendicular to an existingline,use the triangle and straightedge incombination, with the hypotenuse of the triangleresting against the upper edge of the straightedge(fig. 3-6, view B). Adjust one leg of the triangleto a given line. Then slide the triangle along thesupporting straightedge to the desired position anddraw the line along the leg, perpendicular to theFigure 3-6.-Drawing parallel and perpendicular lines.leg that was adjusted to the given line. In the samemanner, angles with multiples of 15 degrees maybe drawn, using the triangle combinations shownin figure 3-4.CURVED LINESMany drawings that you will prepare requirethe construct ion of various curved lines. Basicallythere are two types of curved lines: circles andsegments of circles, called arcs, which are drawnwith a compass; and noncircular curves, whichare usually drawn with french curves. In thischapter we will discuss only techniques for usingthe compass and the french curve. Application ofcompass techniques in geometric construction willbe covered in chapter 4.Use of the CompassWhen you are drawing circles and arcs, it isimportant that the lines produced with thecompass are the same weight as correspondingpencil lines. Since you cannot exert as muchpressure on the compass as you can withpencils, you should use a compass lead that isFigure 3-7.-Sharpening the compass lead and adjusting thepoint.3-6
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