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X(1), X(39), X(83)

6 intersections of medians and symmedians

Brocard points

K326 = pK(X6, X39) is the pivotal sister of K325 (See Jean-Pierre Ehrmann, Hyacinthos #3991). See also CL041.

K326 is the locus of P such that the polar lines of P and its isogonal conjugate P* with respect to the Brocard in-ellipse are parallel.