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X(2), X(6), X(262), X(378), X(995), X(1002), X(1340), X(1341), X(5968), X(7757), X(14608) isogonal conjugates of X(1344), X(1345) points at infinity of the Grebe cubic K102 common points of the Thomson cubic and the circumcircle i.e. vertices of the Thomson triangle 

K280 is the locus of M such that the lines GM and KM* are parallel (M* = isogonal conjugate of M). See CL055 and also K759. Its is also the locus of M such that the lines KM and GM* intersect on the circumcircle. K280 is a nodal cubic with node G, the nodal tangents being parallel to the asymptotes of the circumconic through G and K. It has three real asymptotes parallel to those of the Grebe cubic. It meets the circumcircle at the same points as the Thomson cubic. See the related quartic Q090. It is a tripolar centroidal cubic of the class CL045. The isogonal transform of K280 is K281. These two cubics generate a pencil containing K018 (the second Brocard cubic) and three pKs which are K282, K283, K284. K280 is the cubic Ke1(X2) in CL054. 
