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X(13), X(14), X(15), X(16), X(262), X(511), X(842)

K263 is the orthopivotal cubic with orthopivot X(511), the point at infinity of the Brocard axis. See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.

Its isogonal transform is K292. K292 and K263 are members of the Evans pencil = CL034.

K263 is a circular cubic with singular focus G. K263 is remarkable since this focus lies on the real asymptote, the parallel at G to the Brocard axis. The common point of the curve with its asymptote is X(262) and the "last" point on the circumcircle is X(842).

K263 meets the Fermat line at X(13), X(14) and E, its intersection with the parallel at X(110) to the Brocard axis.