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X(6), X(15), X(16), X(323), X(2981), X(3170), X(3171), X(5353), X(5357), X(6151), X(10677), X(10678), X(14972)

E = X(14972) = K/X(323)

six equilateral circumanticevian points (see Table 40)

K390 is the isogonal transform of K278 = pK(X1989, X1989). It is anharmonically equivalent to the Neuberg cubic. See Table 20.

It is the only pK which contains all six equilateral circumanticevian points. These are the isogonal conjugates of the six equilateral anticevian points. See Table 14.


The figure shows a triangle ABC such that these six (red) points are all real.

A'B'C' is the circumanticevian triangle of one of them namely that labelled P.

These points also lie on the cubic K752 and on the quartic Q043.