Conway circle theorem

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

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.

See also

• List of things named after John Horton Conway

External links

• Kimberling, Clark. "Encyclopedia of Triangle Centers".{{cite web}}: CS1 maint: url-status (link)