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X(1), X(357), X(358), X(1136), X(1137), X(3276), X(3606), X(6206), X(6208), X(66366)

excenters

vertices A2, B2, C2 of Morley (second) triangle (green)

vertices A2*, B2*, C2* of adjunct Morley (second) triangle, isogonal conjugates of A2, B2, C2.

The cubic K031 is analogous to K029 Morley (first) cubic. It is the isogonal pK with pivot P = X(3276) obtained when the trisectors of A, B, C are replaced by those of A-2π, B-2π, C-2π.

See also table 9 : Morley & Co.