Let P be a point, A'B'C' the medial triangle, A”B”C” the circumcevian triangle of P with respect to A'B'C', H the orthocenter. The line A”H cuts the circumcircle at A1, A2 (A1 the nearest to H). Define analogously B1, B2, C1, C2. The lines AA1, BB1, CC1 concur.