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Four Concyclic Points


	Let ABC be a triangle and H the foot of the altitude from B. Let M be the midpoint of AC. Let P and Q be the feet of the perpendiculars from A and C to the angle bisector of the angle ABC. Then H, M, P and Q lie on a circle.


	Contributed by: Jay Warendorff After work by: D. Grinberg

D. Grinberg, "From Baltic Way to Feuerbach: A Geometrical Excursion," Mathematical Refections [online] (2), 2000 p. 2.

Circle (Wolfram MathWorld)

Concyclic (Wolfram MathWorld)

"Four Concyclic Points" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FourConcyclicPoints/

Contributed by: Jay Warendorff

After work by: D. Grinberg

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