Four Concurrent Lines in a Cyclic Quadrilateral
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.
Details
Details
A. Bogomolny, "Four Concurrent Lines in a Cyclic Quadrilateral," Interactive Mathematics Miscellany and Puzzles.
External Links
External Links
Permanent Citation
Permanent Citation
Jay Warendorff, Alexander Bogomolny
"Four Concurrent Lines in a Cyclic Quadrilateral"
http://demonstrations.wolfram.com/FourConcurrentLinesInACyclicQuadrilateral/
Wolfram Demonstrations Project
Published: March 7, 2011