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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 K1403 = 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.