Mixtilinear Incircles

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A mixtilinear incircle is a circle that is tangent to two sides of a triangle and internally tangent to the triangle's circumcircle.

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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.

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Contributed by: Jay Warendorff (March 2011)
After work by: Paul Yiu
Open content licensed under CC BY-NC-SA


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



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