Let Ha, Hb, Hc be the altitude feet; Ma, Mb, Mc the midpoints of the sides; H the orthocenter. Let A' be the isogonal of Ma in HHaHb and define analogously B', C'. The lines AA'. BB', CC' concur at the circumcenter O and the triangles HaHbHc, A'B'C' are symmetrical with center X(389).