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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.


	Contributed by: Jay Warendorff

Circumcircle (Wolfram MathWorld)

Orthocenter (Wolfram MathWorld)

Parallelogram (Wolfram MathWorld)

Perpendicular (Wolfram MathWorld)

"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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