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midpoints of ABC

vertices of the antimedial triangle

infinite points of the Thomson cubic

infinite points of the sidelines of ABC

CPCC or H-cevian points, see Table 11

This curve is related to Table 28 : {X}-Cevian and Anticevian points.

It contains the {X}-Cevian points of any X on the Lucas cubic and in particular the CPCC or H-cevian points.

A, B, C are nodes with tangents the bisectors.

See Q027, a very similar sextic.