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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