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points at infinity of the Morley sidelines

their isotomic conjugates Ta, Tb, Tc

K094 is the only isotomic nK60+. Its root is P = X(11059) = isotomic of isogonal of reflection of G in K. See Special Isocubics ยง7.3.1. K094 is a member of the class CL005 of cubics.

The three real asymptotes concur at K" = X(599), reflection of K in G.

The cubic meets the Steiner circum-ellipse at A, B, C and three other points Ta, Tb, Tc isotomic conjugates of the infinite points of the Morley triangle sidelines : those points form an equilateral triangle and are the intersections (other than X(99)) of the Steiner circum-ellipse with the circle centered at X(76) passing through X(99). See "A Morley Configuration" for details and proofs in the Downloads section..