The Conway Circle Theorem: Equivalence and Generalization

Richard Ollerton

Research output: Contribution to journalArticlepeer-review

Abstract

Summary: The elegant and surprising Conway Circle Theorem (CCT) for triangles has become more widely known following the death of its discoverer John Horton Conway (1938–2020). The logical equivalence of the CCT and the well-known triangle incircle tangent length formulas is demonstrated, thereby also providing an alternative proof of the CCT. The CCT is then generalized for tangential polygons.

Original languageEnglish
Pages (from-to)58-66
Number of pages9
JournalMathematics Magazine
Volume97
Issue number1
DOIs
Publication statusPublished - 2024

Fingerprint

Dive into the research topics of 'The Conway Circle Theorem: Equivalence and Generalization'. Together they form a unique fingerprint.

Cite this