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X(3), X(5), X(13), X(14), X(195), X(1157), X(1173)

K067 = O(X195) is the orthopivotal cubic with orthopivot X(195), the cevian quotient X(5)/X(3). See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.

K067 is a circular pK with pivot X(5), with pole the barycentric product X(11063) of X(5) and X(1157), a point on the Brocard axis. The singular focus is X(14706).

The inversive image of K067 is pK(X2965, X2070). See Inverses of Isocubics.

The isogonal transform of K067 is K439.

Note that K067 meets the Lester circle at six known points namely X(3), X(5), X(13), X(14) and the circular points at infinity.