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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.
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Contributed by:
Jay Warendorff
After work by:
Antonio Gutierrez
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The statement of the theorem is in
Archimedes' Book of Lemmas: Proposition 12
.
RELATED LINKS
Circle Tangent Line
(
Wolfram
MathWorld
)
Perpendicular
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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