r1923

Let Ha, Hb, Hc be the midpoints of the altitudes of ABC, and H1, H2, H3 the midpoints of the altitudes of the medial triangle A'B'C'. Let Ma, Mb, Mc be the midpoints between Ha-H1, Hb-H2, Hc-H3. The triangles MaMbMc, ABC are orthologic; their orthologic centers are the ninecenter N of ABC and the point X(64).


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