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A Triangle Formed by the Centers of Three Circles

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.

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See problem 21 in Classical Theorems in Plane Geometry.

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"A Triangle Formed by the Centers of Three Circles" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/ATriangleFormedByTheCentersOfThreeCircles/
Contributed by: Jay Warendorff
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