Wolfram Demonstrations Project
8847

Four Concurrent Lines in a Cyclic Quadrilateral

A cyclic quadrilateral has all four of its vertices on a circle.
Through the midpoint of each side of a cyclic quadrilateral draw a line perpendicular to the opposite side or its extension. The four resulting lines are concurrent.
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A. Bogomolny, "Four Concurrent Lines in a Cyclic Quadrilateral," Interactive Mathematics Miscellany and Puzzles.

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"Four Concurrent Lines in a Cyclic Quadrilateral" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FourConcurrentLinesInACyclicQuadrilateral/
Contributed by: Jay Warendorff
After work by: Alexander Bogomolny
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