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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.
Drag the purple points to change the figure.
Contributed by:
Jay Warendorff
After work by:
Alexander Bogomolny
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A. Bogomolny, "
Four Concurrent Lines in a Cyclic Quadrilateral
,"
Interactive Mathematics Miscellany and Puzzles
.
RELATED LINKS
Concurrent
(
Wolfram
MathWorld
)
Cyclic Quadrilateral
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
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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