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∑ a(y - z) y z = 0

X(1), X(2), X(7), X(9), X(366), X(1489), X(3160), X(7090), X(13388), X(13389), X(14121)

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

K363 is the complement of K200, the Soddy-Gergonne-Nagel cubic.

It is the isogonal transform of pK(X31, X1) and the isotomic transform of pK(X75, X75).

It meets the Steiner ellipse at the same points as pK(X2, X1).

The symbolic substitution SS{a -> √a} transforms K002 into K363.