Theorem

Conway Circle Theorem

Geometry

The Conway circle theorem is a result in plane geometry. It states that when the sides meeting at each vertex of a triangle are extended outward by the length of the side opposite that vertex, the six endpoints of the resulting segments all lie on a single circle. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts

Classification

Statement Form

Existence Theorem 1

Connections

Has Statement Form

Existence Theorem

In Branch

Geometry

Source Conway circle theorem (Wikipedia)

Proved By

John Conway

Source Conway circle theorem (Wikipedia)

Sources

1. Conway circle theorem (Wikipedia)

Lead section
In plane geometry, the Conway circle theorem states that when the sides meeting at each vertex of a triangle are extended by the length of the opposite side, the six endpoints of the three resulting line segments lie on a circle whose centre is the incentre of the triangle.
In Branch: Geometry, Lead sentence
In plane geometry, the Conway circle theorem states that when the sides meeting at each vertex of a triangle are extended by the l

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Conway Circle Theorem

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In Branch

Proved By