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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 Oanticevian points, see Table 26 (blue points) Ixanticevian 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 Ixanticevian points and the Oanticevian points. A, B, C are nodes with tangents the bisectors. 
