Cyclocevian Conjugate

Given a triangle ABC. Let A1, B1, C1 be the endpoints of the cevians of a point P. The circle defined by these three points intersects the sides of ABC in three other points - A2, B2, and C2. Cevians AA2, BB2, and CC2 concur in a point Q called the Cyclocevian Conjugate of P.




Q - Cyclocevian Conjugate of P.
P - Cyclocevian Conjugate of Q.