Trisecting the Angle/Fallacious Proofs
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Fallacious Proofs of Trisecting the Angle
Edw. J. Goodwin
- The trisection of a right line taken as the chord of any arc of a circle trisects the angle of the arc.
Historical Note
The exercise to trisect of the general angle using a compass and straightedge construction, was an exercise that the ancient Greeks failed to succeed in.
This was one of three such problems: the other two being Squaring the Circle and Doubling the Cube.
There are several techniques available that use other tools, but these were considered unacceptably vulgar to the followers of Plato.