A Generalization of Wantzel's Theorem, m-sectable angles, and the density of certain Chebyshev-polynomial images
The eponymous theorem of P.L. Wantzel presents a necessary and sufficient criterion for angle trisectability in terms of the third Chebyshev polynomial $T_3$, thus making it easy to prove that there exist non-trisectable angles. We generalize this theorem to the case of all Chebyshev polynomials $T_...
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