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K751

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X(1), X(3), X(4), X(187), X(574), X(598), X(671), X(8591), X(9855)

P = X(9855) = anticomplement of X(8352)

anticomplement of X(598)

excenters

K751 is the locus of M such that the antipedal triangle of M is perspective with the McCay triangle. This has vertices the centers of the McCay circles i.e. the circles passing through G and two vertices of the second Brocard triangle

K751 is a member of the Euler pencil. See Table 27.

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The McCay triangle MCT and some remarkable antipedal triangles T(M) of point M

• T(X671) and MCT are homothetic

• T(M) and MCT are orthologic when M lies on the Kiepert hyperbola.

• T(M) and MCT are parallelogic when M lies on the circumconic with perspector X(524) passing through X(2), X(99), X(2418).