Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons
arXiv:2111.01835
Abstract
John Conway's Circle Theorem is a gem of plane geometry. The six points formed by continuing the sides of a triangle beyond every vertex by the length of its opposite side, are concyclic. The theorem has attracted several proofs. We present a short proof that views the extended sides as equal tangents of the incircle, a perspective that enables generalization to polygons.
6 pages, 12 figures