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X(3), X(186), X(1154), X(1157), X(2070), X(14979)

circumcircle inverses of X(38539), X(38542) and imaginary foci of the MacBeath inconic

A', B', C' : reflections of A, B, C in X(186)

U, V, W on the sidelines of ABC and on the (green) parallels at X(2070) to the cevian lines of O

U', V', W' : their reflections in X(186)

Geometric properties :

K1396 is the circumcircle inverse of K1180. See Table 73 for properties and other related cubics.

It is a central focal cubic with center and singular focus X(186).