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Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter
Let I and O be the incenter and circumcenter of a triangle. Let H be the orthocenter of the triangle's contact triangle (the triangle formed by the points of contact of the incircle with the sides). Then I, O, and H are collinear.