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Bisecting a Line Segment through the Orthocenter


	Let P and P' be opposite points on the circumcircle of the triangle ABC. Let G be the centroid of ABC and H its orthocenter. Then PG bisects HP' at D. Drag the purple points A, B, C, or P to change the figure.


	Contributed by: Jay Warendorff

See Problem 5 in N. Altshiller-Court, College Geometry, 2nd ed., Mineola, NY: Dover, 2007 p. 103.

Triangle Centroid (Wolfram MathWorld)

Circumcircle (Wolfram MathWorld)

Line Bisector (Wolfram MathWorld)

Orthocenter (Wolfram MathWorld)

"Bisecting a Line Segment through the Orthocenter" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/BisectingALineSegmentThroughTheOrthocenter/

Contributed by: Jay Warendorff

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