# Collinearity of an Incenter and Two Circumcenters

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Let ABC be a triangle with excentral triangle A'B'C'. Let I be the incenter and O the circumcenter of ABC, and let be the circumcenter of A'B'C'. Then I, O, and are collinear and O bisects .

Contributed by: Jay Warendorff (March 2011)

Open content licensed under CC BY-NC-SA

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"Collinearity of an Incenter and Two Circumcenters"

http://demonstrations.wolfram.com/CollinearityOfAnIncenterAndTwoCircumcenters/

Wolfram Demonstrations Project

Published: March 7 2011