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X(1), X(1083), X(3110), X(5091), X(14665), X(14839), X(14947), X(39641), X(39642), X(43671)

Brocard points = foci of the Brocard ellipse

X(39641), X(39642) are the imaginary foci of the Brocard ellipse

K359 = cK(#X1, X665) = nK(X6, X665, X1) is an isogonal strophoid passing through the Brocard points. See CL003 and also Table 69.

It is the locus of foci of inconics centered on the line through the incenter I and the Brocard midpoint X(39).

Its point at infinity is that of the line X(1)X(39) i.e. Z = X(14839) and the isogonal conjugate of Z is the singular focus F = X(14665).

K359 is spK(Z, X1) in CL055 and SpK(X3110, L) as in CL056 where L is the Brocard axis and X(3110) the orthogonal projection of X(1) on L.