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Bisecting an Angle Efficiently

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It is well-known that an angle can be bisected in the traditional way by drawing three arcs. However, it is possible to bisect an angle by drawing two arcs and two lines instead. This Demonstration shows one such method.

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Two concentric circles are constructed, centered on the angle to be bisected. The intersection of the two lines shown produces the desired bisection.

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Contributed by: Nick James (March 2013)
Open content licensed under CC BY-NC-SA

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