Circumcevian Triangle

Let P be a point in the plane of ΔABC. Extend the cevians AP, BP and CP to their intersection with the circumcircle of ΔABC. The points of intersection form a triangle, known as the circumcevian and, sometimes, circumpedal, triangle of P. The circumcevian and pedal triangles of the point P are similar.

For P = H, the orthocenter, the original cevians of ΔABC play the role of angle bisectors in the circumcevian triangle.

Copyright © 1996-2008 Alexander Bogomolny