We are given an acute triangle ABC, and inside it a point P, which is not on any of the heights AA1, BB1, CC1. The rays AP, BP, CP intersect the circumcircle of ABC at points A2, B2, C2. Prove that the circles AA1A2, BB1B2 and CC1C2 are concurrent. geometrycircumcirclepower of a pointradical axisgeometry unsolved