r1799

Let P be the orthocenter, Q a point. The circle with diameter PQ cuts AP, AQ at Xp, Xq. Define analogously Yp, Yq, Zp, Zq. The lines XpXq, YpYq, ZpZq concur at a point T such that its inverse T' in the circle with diameter PQ belongs to the ninecircle. The triangles XpYpZp, ABC are similar.
 
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