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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.


	Contributed by: Jay Warendorff

See Euler line of intouch triangle.

Circumcircle (Wolfram MathWorld)

Contact Triangle (Wolfram MathWorld)

Incircle (Wolfram MathWorld)

Orthocenter (Wolfram MathWorld)

"Collinearity of a Triangle's Circumcenter, Incenter, and the Contact Triangle's Orthocenter" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CollinearityOfATrianglesCircumcenterIncenterAndTheContactTri/

Contributed by: Jay Warendorff

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