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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
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D. Grinberg, "From Baltic Way to Feuerbach: A Geometrical Excursion,"
Mathematical Refections
(2), 2000 p. 2.
RELATED LINKS
Circle
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MathWorld
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Concyclic
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PERMANENT CITATION
Jay Warendorff
"
Four Concyclic Points
"
http://demonstrations.wolfram.com/FourConcyclicPoints/
Wolfram Demonstrations Project
Published: April 2, 2008
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