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X(2), X(3), X(6), X(56), X(478), X(940), X(958), X(2221), X(4185), X(5019)

midpoints of ABC

points of pK(X6, X940) on the circumcircle

K321 is the locus of point P whose anticevian triangle is perspective to TCP2, the tangential triangle of the 2nd circumperp triangle (see TCCT, ยง6.24).

See also table 6 and CL048.

The locus of the perspector is pK(X5019, X2975) passing through X(1), X(56), X(958), X(1468), X(2217), X(2975). See also K320.

The isogonal transform of K321 is K1135.