X(2), X(6), X(1992)
projections of K on the sidelines of ABC
their reflections in K
points at infinity of the Thomson cubic
common points of the circumcircle and pK(X6, X1992)
foci of the K-ellipse (inellipse with center K when the triangle ABC is acute angle)
TC(X6) is a member of the class CL040 of Thomson centroidal cubics.
It is the locus of point M such that the trilinear polar of M is perpendicular to the line KM.
K314 is a central cubic with three real asymptotes concurring at K and parallel to those of the Thomson cubic. The tangent at K is the Brocard line.
K314 is spK(X2, X6) in CL055.
The isogonal transform of K314 is K1093.