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see the general equation in CL010

X(4), X(1650), X(57290), X(57291), X(57292), X(57293), X(57294), X(57295), X(57296)

midpoints of ABC

points at infinity of ABC sidelines

vertices of the orthic triangle

The Allardice cubic A1(H) is the locus of the center of a circum-conic such that one of its asymptotes passes through H. The other asymptote envelopes the in-conic with center O, perspector X(69). The tangents at the node H to A1(H) are those drawn from H to this in-conic.

K051 is a member of the class CL010 of cubics.

K051 is the complement of cK(#X20, X2).