Quantcast Bisection of a line

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A line can be bisected by trial and error with dividers; that is, by setting the dividers to various

Figure 4-4.-Erecting a perpendicular from a given point on a line.

Figure 4-5.-Bisecting a line.

spreads until you find one that correctly measures one-half the length of the line.

Geometric construction for bisecting a line is shown in figure 4-5. To bisect the line AB, use the ends of the line, A and B, as centers; set a compass to a radius greater than one-half 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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