r1790

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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