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arXiv · 2111.01835

Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons

Eric Braude
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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.

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Eric Braude. 2021-11-02. Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons. https://arxiv.org/abs/2111.01835

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