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]
![](../I/m/Conway_circle_and_incircle.svg.png)
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
- "John Horton Conway". www.cardcolm.org. Retrieved 29 May 2020.
- Weisstein, Eric W. "Conway Circle". MathWorld. Retrieved 29 May 2020.
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