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too complicated to be written here. Click on the link to download a text file. |
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X(1), X(8), X(85), X(271), X(318), X(6757), X(7057) vertices of the cevian triangle of X(75) infinite points of K157 = pK(X9, X1) |
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Geometric properties : |
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K971 is a nodal psK+ as in CL067. The node is X(8) with nodal tangents parallel to the asymptotes of the Feuerbach hyperbola. The asymptotes are parallel at the midpoint X(3679) of X(2)X(8) to those of K157 = pK(X9, X1). This latter cubic is a pK+ with asymptotes concurring at X(2). The isotomic transform of K971 is K970, a very similar cubic. The isogonal transform of K971 is K967. Its X(1)-isoconjugate is K577. Under the symbolic substitution SS{a -> a^2}, K971 is transformed into K257. |