Pedal Triangle of Point on Circumcircle is Straight Line

Theorem

Let $\triangle ABC$ be a triangle.

Let $P$ be an arbitrary point on the circumcircle of $\triangle ABC$.

The pedal triangle of $\triangle ABC$ with respect to $P$ degenerates to a straight line segment.

Proof

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Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): pedal triangle: 2.