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K970

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X(7), X(9), X(75), X(77), X(342), X(3252), X(7048)

isogonal conjugate of X(3158)

vertices of the cevian triangle of X(85)

infinite points of pK(X1, X9)

Geometric properties :

K970 is a nodal psK+ as in CL067.

The node is X(7) with nodal tangents parallel to the asymptotes of the Feuerbach hyperbola.

The asymptotes are parallel at the midpoint X(6173) of X(2)X(7) to those of pK(X1, X9). This latter cubic is a pK+ with asymptotes concurring at X(2).

The isotomic transform of K970 is K971, a very similar cubic.

The X(1)-isoconjugate of K970 is K220.

K970 is also the barycentric products X(85) x K259, X(76) x K967.

Under the symbolic substitution SS{a -> a^2}, K970 is transformed into K028.