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Tangent Points on a Semicircle


	Let AB be the diameter of a semicircle. Let CD and CE be tangents from a point C. Let the intersection of AE and BD be F. Then CF is perpendicular to AB. Drag the red point to change the figure.


	Contributed by: Jay Warendorff After work by: Antonio Gutierrez

The statement of the theorem is in Archimedes' Book of Lemmas: Proposition 12.

Circle Tangent Line (Wolfram MathWorld)

Perpendicular (Wolfram MathWorld)

"Tangent Points on a Semicircle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TangentPointsOnASemicircle/

Contributed by: Jay Warendorff

After work by: Antonio Gutierrez

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