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X(3), X(32), X(98), X(132), X(511)

midpoints of ABC

K570 is a circular psK cubic with pseudo-pivot G. See Pseudo-Pivotal Cubics and Poristic Triangles.

Its focus is F, the midpoint X(12042) of X(3)X(98) and its real asymptote is the Simson line of X(99).

See also Table 46 and Table 55.

The anticomplement of K570 is K1131 and the isogonal transform of K570 is K1134.

The inverse of K570 in the circumcircle of ABC is K1129.

K1131 is the locus of pivots of circular pKs which pass through X(511). The locus of the isopivots is K570. See K337 for instance.