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X(1), X(2), X(7), X(57), X(145), X(174), X(1488), X(2089)

infinite points of the Thomson cubic.

vertices of the intouch triangle

K365 is a member of the classes CL040 and CL042.

It has three real asymptotes parallel to those of the Thomson cubic.

The isogonal transform of K365 is K761 = pK(X41, X1) and its isotomic transform is pK(X312, X75).