A Triangle Formed by the Centers of Three Circles

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Let ABC be a triangle with points P on BC, Q on AB, and R on AC. The triangle formed by the centers of the circumcircles of AQR, BPQ, and CPR is similar to ABC.

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


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See problem 21 in Classical Theorems in Plane Geometry.



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