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X(3), X(4), X(6), X(381), X(576), X(9214)

infinite points of the Thomson cubic.

points of pK(X6, X381) on the circumcircle

points of pK(X2, X576) on the Steiner ellipse

four foci of the MacBeath inconic : X(3), X(4) and two imaginary

X3-OAP points, see Table 53

K762 is the isogonal transform of K759.

K762 meets the circumcircle at the same six points as pK(X6, X381). Their remaining common points lie on the Euler line namely X(3), X(4), X(381).

K762 meets the Steiner ellipse at the same six points as pK(X6, X576). Their remaining common points lie on the line X(69), X(576), X(1173), etc.