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BISECTION OF A LINE A line can be bisected by trial and error with dividers; that is, by setting the dividers to various Figure 44.Erecting a perpendicular from a given point on a line. Figure 45.Bisecting a line. spreads until you find one that correctly measures onehalf the length of the line. Geometric construction for bisecting a line is shown in figure 45. To bisect the line AB, use the ends of the line, A and B, as centers; set a compass to a radius greater than onehalf the length of AB; and strike arcs intersecting at C and D. A line drawn from C through D bisects AB. 

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