Conway circle

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 with the same centre as the triangle's incircle. The circle on which these six points lie is called the Conway circle of the triangle.[1][2]

A triangle's Conway circle with its six concentric points (solid black), the triangle's incircle (dashed gray), and the centre of both circles (white); solid and dashed line segments of the same colour are equal in length

References
  1. "John Horton Conway". www.cardcolm.org. Retrieved 29 May 2020.
  2. Weisstein, Eric W. "Conway Circle". MathWorld. Retrieved 29 May 2020.

See also


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