# 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

## Snapshots

## Details

See problem 21 in Classical Theorems in Plane Geometry.

## Permanent Citation

"A Triangle Formed by the Centers of Three Circles"

http://demonstrations.wolfram.com/ATriangleFormedByTheCentersOfThreeCircles/

Wolfram Demonstrations Project

Published: March 7 2011