Bisection of an Angle

How to bisect a given angle? How to divide it into two equal parts?

1. Start with the given angle.

2. Draw an arc with its center at the angular point, and a suitable radius.

3. Draw an arc with its center at the intersection of arc 2 and one leg of the angle, and a suitable radius (more than "halfway" the angle).

4. Draw an arc with its center at the intersection of arc 2 and the other leg of the angle, and a radius equal to that of arc 3. Arcs 3 and 4 must intersect.

5. Draw a line from the angular point to the intersection of arcs 3 and 4.

6. Line 5 is the bisector of the angle; it divides the angle into two equal parts.

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Copyright © 2001, Zef Damen, The Netherlands