The Intersections of Extended Cevians with Three Circumcircles of Subtriangles
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Let P be a point in the interior of the triangle ABC. Draw the three circumscribed circles for the triangles APB, APC, and BPC. Let X, Y, and Z be the intersections (other than P) of the extensions of AP, BP, and CP with the circles opposite A, B, and C. Then:[more]
Contributed by: Jay Warendorff (March 2011)
After work by: Olexandr Manzjuk
Open content licensed under CC BY-NC-SA
See Ukrainian Journal Contest, Problem 326, by Olexandr Manzjuk.