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Nagel's Theorem
Let ABC be a triangle with two altitudes AA' and BB', and let O be the center of the circumcircle. Then A'B' and CO are perpendicular.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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A. Bogomolny, "
Nagel's Theorem
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Interactive Mathematics Miscellany and Puzzles
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Altitude
(
Wolfram
MathWorld
)
Circumcircle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Nagel's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/NagelsTheorem/
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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