Mathematical fact about triangles and circles (Abe)

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James Crook

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Jun 17, 2011, 10:26:40 AM6/17/11
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Reposting this here, so that we have the mathematical facts in the
google group.


(From Abe)

> Here is something from geometry. I'm not sure if this is common knowledge or not.

> The orthocenter of a triangle is also the incenter of it's pedal triangle (the triangle formed by the points of the feet of the altitudes). This can be proven pretty easily by angle chasing, especially because the altitudes give us cyclic quadrilaterals.
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