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X(80), X(104), X(214), X(1145), X(1317), X(1320), X(5541), X(6224), X(6326)

K510 is a central pK with center X(214), pole X(44) and pivot P = X(6224), the anticomplement of X(80). See central cubics.

The cevian (or anticevian) triangle of P and the Furhmann triangle are orthologic if and only if P lies on K311. One center of orthology lies on K510 and the other on a cubic passing through X(3), X(8), X(946).