Let P be a point, A'B'C' its cevian
triangle, A”B”C” the triangle bounded by the reflections of each side of
A'B'C' on the corresponding side of ABC. The triangles A'B'C, A”B”C” are
perspective, and so are the triangles ABC, A”B”C” .The perspective center
of the second pair is the Schiffler point when P is the incenter; the circumcenter
if P is the orthocenter, and the same P if P is X(1113) or X(1114).
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