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X(3), X(25), X(64), X(206), X(3091), X(6523), X(17810), X(26880), X(33537), X(33579), X(33580)

vertices of the medial triangle

vertices of the tangential triangle of the Thomson triangle

other points below

Geometric properties :

K1110 is an example of circum-cubic passing through the vertices of the tangential triangle of the Thomson triangle. See K172 and K1109, also Table 27, paragraph Lemoine point of T(P).

K1110 meets the line at infinity at the same points as pK(X6, aX17810) where aX17810 is the anticomplement of X(17810).

K1110 meets the circumcircle again at the same points as pK(X6, X17810).