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K613

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X(4), X(110), X(1113), X(1114)

infinite points of the McCay cubic

Let M be a point with pedal triangle T and M* the isogonal conjugate of M with respect to T.

The points M, M* and X(110) are collinear if and only if M lies on K613.

K613 is a stelloid with three real asymptotes parallel to those of the McCay cubic and concurring at the point X = X(14643) such that X(5)X = 1/3 X(5)X(110).

K613 is a non-pivotal cubic with pole X(112) and root the barycentric product X(14590) of X(323) and X(648).

K613 is also spK(X3, X1511) in CL055, where X(1511) is the midpoint of X(3)X(110).