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Simson's Theorem

Let ABC be a triangle. Let P be a point on the circumcircle and let A', B', and C' be the feet of the perpendiculars from P to BC, AC, and AB. Then A', B' and C' are collinear.

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"Simson's Theorem" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SimsonsTheorem/
Contributed by: Jay Warendorff
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