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8832

The Circumcircle of the Orthocenter and Two Vertices and a Parallelogram

Let ABC be a triangle. Let the perpendicular from the orthocenter H to the altitude HC intersect the circumcircle of HBC at P. Then ABPH is a parallelogram.

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"The Circumcircle of the Orthocenter and Two Vertices and a Parallelogram" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/TheCircumcircleOfTheOrthocenterAndTwoVerticesAndAParallelogr/
Contributed by: Jay Warendorff
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