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An Altitude and Four Concyclic Points

Let ABC be a triangle and let A' be the foot of the altitude from A. Let P and Q be the perpendicular projections of A' onto AB and AC, respectively. Then B, C, P, and Q are concyclic.

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"An Altitude and Four Concyclic Points" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/AnAltitudeAndFourConcyclicPoints/
Contributed by: Jay Warendorff
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