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.[more]
Drag the purple points A, B, C, or P to change the figure.[less]
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
See Problem 5 in N. Altshiller-Court, College Geometry, 2nd ed., Mineola, NY: Dover, 2007 p. 103.
"Bisecting a Line Segment through the Orthocenter"
Wolfram Demonstrations Project
Published: March 7 2011