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K1145a

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X(2), X(4), X(6), X(13), X(15), X(62), X(1251), X(2306), X(3129), X(3180), X(3457), X(8015), X(11080), X(11082), X(19551), X(33655), X(36296), X(36298), X(36300), X(36302), X(36304)

imaginary foci of the Simmons inconic with real foci X(13), X(15) and center X(396)

isogonal conjugates of X(30471) and the blue equilateral cevian points on K001 (see Table 10)

infinite points of pK(X6, X298)

points of pK(X6, X3180) on the circumcircle

Geometric properties :

K1145a is the isogonal transform of K341a = pK(X15, X2) and its barycentric product by X(13), also spK(X298, X396) as in CL055.

It is a member of the pencil generated by K002 and K233. See CL055.

Simmons inconics are studied here.

K1145a is anharmonically equivalent to the Neuberg cubic K001, See Table 20.