| Andrew M. Gleason, Angle Trisection, the Heptagon, and the Triskaidecagon, MAA Monthly (March 1988), 185--194. |
....square roots and cube roots and conjugates. The techniques here are elementary algebraic geometry, Gr] the theory of pencils of conics or quadratic forms. Of course, the standard question, as to which regular polygons can be constructed, is readily answered, V] EMK] however, Gleason, [Gl], who develops the theory of the angle trisector, also derives the same conclusion, that the number of sides is 2 a 3 b P 1 P 2 . P s , where the distinct primes P i , if any, are of the form 2 c 3 d 1. A good reference for solving equations in one variable, and its history, are ....
Andrew M. Gleason, Angle Trisection, the Heptagon, and the Triskaidecagon, MAA Monthly (March 1988), 185--194.
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