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Euler's Theorem for Pedal Triangles

Let ABC be a triangle and P an arbitrary point. Let A', B', and C' be the feet of the perpendiculars from P to the sides of ABC. Let O and R be the center and radius of the circumcircle. Then .

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"Euler's Theorem for Pedal Triangles" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/EulersTheoremForPedalTriangles/
Contributed by: Jay Warendorff
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