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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