Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons
General Mathematics
2021-11-04 v1
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.
Cite
@article{arxiv.2111.01835,
title = {Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons},
author = {Eric Braude},
journal= {arXiv preprint arXiv:2111.01835},
year = {2021}
}
Comments
6 pages, 12 figures