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X(4), X(74), X(186), X(6344), X(8744), X(8753), X(44146), X(46105), X(52490), X(52492), X(52493), X(52494) infinite points of pK(X6, X2071) points on (O) and pK(X6, X50435) where X(50435) is the reflection of X(110) in X(403). These points are A, B, C, X(74) and two imaginary points on the line {403,523}. A' on BC and on the line through {125,136}, B' and C' likewise. |
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Geometric properties : |
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K1302 is a member of the pencil of cubics generated by K025 and K028. See Table 43 and K1301 for another description and a generalization. It is the locus of the intersection of the Steiner line of M and the line X(186)M when M is a variable point on the circumcircle. K1302 is a nodal cubic with node H and nodal tangents parallel to the asymptotes of the Jerabek hyperbola. |