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X(1), X(2)

excenters

midpoints of ABC

midpoints of the medians

infinite points of the Thomson cubic

infinite points of the sidelines of ABC

O-anticevian points, see Table 26 (blue points)

Ix-anticevian points, see Table 23 (red points)

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

It contains the {X}-Anticevian points of any X on the Thomson cubic and in particular the Ix-anticevian points and the O-anticevian points.

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