Mixtilinear Incircles

​
A mixtilinear incircle is a circle that is tangent to two sides of a triangle and internally tangent to the triangle's circumcircle.
In the triangle ABC, suppose the three mixtilinear incircles touch the circumcircle at the points A', B', and C'. Then AA', BB', and CC' are concurrent.

Details

The statement of the theorem is in "Notes on Euclidean Geometry" by Paul Yiu, p. 98.

External Links

Concurrent (Wolfram MathWorld)
Mixtilinear Incircles (Wolfram MathWorld)

Permanent Citation

Jay Warendorff, Paul Yiu
​
​"Mixtilinear Incircles"​
​http://demonstrations.wolfram.com/MixtilinearIncircles/​
​Wolfram Demonstrations Project​
​Published: May 7, 2008