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Three Circumcenters Concyclic with a Fourth Point

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Let A, B, and C be collinear and let P be a point not on the line ABC. Then P and the circumcenters of APB, BPC, and APC are concyclic.

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

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See problem 5.86 in V. Prasolov,Problems in Plane and Solid Geometry, Vol. 1,Plane Geometry [PDF], (D. Leites, ed. and trans.).

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