r559

Let P be a point of the hyperbola centered at the anticomplement of the Steiner point and having asymptotes parallel to the asymptotes of the Kiepert hyperbola. Let Pa, Pb, Pc be the orthogonal projections of P on the medians of ABC. The perpendicular bisectors of APa, BPb, CPc bound a triangle perspective to ABC with center Y at the Kiepert hyperbola of ABC.



 
 
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