Let A', B', C' the altitude feet; A”, B”, C” the midpoints of the sides. Let Ab, Ac, Bc, Ba, Ca, Cb be the ninecenters of A'BC”, A'B”C, B'CA”, B'C”A, C'AB”, C'A”B. The triangle ABC and the triangle bounded by BcCb, CaAc, AbBa sare orthologic.