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X(3), X(4), X(24), X(155), X(1147), X(2904), X(15317), X(34756), X(53168), X(53169), X(53170), X(53171), X(53172)

imaginary foci of the MacBeath inconic

vertices of the orthic triangle

infinite points of pK(X6,X68)

points of pK(X6,X155) on (O)

Geometric properties :

K1318 is a MacBeath cubic as in Table 80. See also CL019.

Its isogonal transform is K1337 = spK(X155, X5) = pK(X2165, X847).

K1318 is the isogonal pK with pivot X(1147) with respect to the orthic triangle.