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X(2), X(4), X(5), X(264), X(311), X(324), X(847)

A'B'C' : cevian triangle of X(264)

The vertices of the Johnson triangle JaJbJc are the reflections of O in the sidelines of ABC or the reflections of A, B, C about X(5).

K674 is the locus of M such that the cevian triangle of M and the Johnson triangle are perspective at P. (C├ęsar Lozada, ADGEOM #1168).

The locus of P is K044, the blue curve on the figure.

If "cevian" is replaced by "anticevian" we obtain K612.

The isotomic transform of K674 is K646.