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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.
Contributed by:
Jay Warendorff
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See problem 21 in
Classical Theorems in Plane Geometry
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Circle
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Similar
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Similar Triangles
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A Triangle Formed by the Centers of Three Circles
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the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ATriangleFormedByTheCentersOfThreeCircles/
Contributed by:
Jay Warendorff
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