Conway’s Circle Theorem: A Short Proof, Enabling Generalization to Polygons
Conway’s Circle Theorem: A Short Proof, Enabling Generalization to Polygons
Author(s): Eric BraudeSubject(s): Social Sciences, Economy, Education, Higher Education , ICT Information and Communications Technologies
Published by: Нов български университет
Keywords: geometry; Conway circle theorem; triangles concurrency
Summary/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, even adorned Mathcamp T-shirts. We present a short proof that views the extended sides as equal tangents of the incircle, a perspective that enables generalization to polygons.
Journal: Computer Science and Education in Computer Science
- Issue Year: 17/2021
- Issue No: 1
- Page Range: 28-33
- Page Count: 6
- Language: English