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X(2), X(4), X(5), X(53), X(216), X(1249), X(2052)

A', B', C' : midpoints of ABC

The vertices of the Euler triangle are the midpoints of HA, HB, HC.

K671 is the locus of M such that the anticevian triangle of M and the Euler triangle are perspective at P. (César Lozada, ADGEOM #1168).

The locus of P is pK(X53, X3091), the blue curve on the figure.