Conways Circle Theorem: A Short Proof Enabling Generalization to Polygons
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 t...
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| Veröffentlicht in: | arXiv.org 2021-11 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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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| ISSN: | 2331-8422 |