# Bisecting a Line Segment through the Orthocenter

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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.

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Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

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

## Permanent Citation

"Bisecting a Line Segment through the Orthocenter"

http://demonstrations.wolfram.com/BisectingALineSegmentThroughTheOrthocenter/

Wolfram Demonstrations Project

Published: March 7 2011