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X(4), X(110), X(523), X(1113), X(1114), X(2574), X(2575) vertices U, V, W of the cevian triangle of X(648), the tripole of the Euler line common points of the circum-conic with center K and the parallel at H to the line KN = X(6)X(5) X(2574), X(2575) : points at infinity of the Jerabek hyperbola |
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We meet this cubic in the paper "Antiparallels and concurrent Euler lines" by Nikolaos Dergiades and Paul Yiu, Forum Geometricorum vol.4, pp. 1-20. The tangents at A, B, C are perpendicular to the Brocard line, those at U, V, W concur at X(25). K210 is also psK(X25, X648, X4) in Pseudo-Pivotal Cubics and Poristic Triangles. |
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