A Cyclic Quadrilateral Concurrency
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Let ABCD be a cyclic quadrilateral with circumcenter O. Let the diagonals AC and BD intersect at E. Let P be a point inside the quadrilateral and let , , , be the circumcenters of ABP, BCP, CDP and DAP. Then , , and OE are concurrent.[more]
Drag the purple points A, B, C, or D to change the figure.[less]
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
"A Cyclic Quadrilateral Concurrency"
Wolfram Demonstrations Project
Published: March 7 2011