Let P, Q be two points collinear with the circumcenter O. Let A1B1C1 be the circumcevian of P in ABC, A2B2C2 the circumcevian of Q in A1B1C1, A3B3C3 the antipodal of A2B2C2. The triangles ABC, A3B3C3 are perspective with center collinear with O, P, Q.