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X(2), X(3), X(6), X(69), X(485), X(486), X(8770) X(2)Ceva conjugate of X(69) midpoints CPCC or Hcevian points, see Table 11 foci of the Kellipse (inellipse with center K when the triangle ABC is acute angle) 

K168 is the pivotal cubic whose GST (see here for a definition) is the de Longchamps line. See K167. See also K007, property 8 and K002, property 12. It is also the locus of point P such that P, GSC(P), X(6) are collinear. GSC is defined here. It has the same asymptotic directions as pK(X6, X193) and K170 = pK(X2, X4) which is actually its anticomplement. It meets the circumcircle at the same points as pK(X6, X69) = K169 and the Steiner circumellipse at the same points as pK(X2, X76) = K141. It is tangent at O to the Brocard line, at G to the Euler line. Its isogonal transform is pK(X25, X4) = K233 and its isotomic transform is pK(X264, X264). See CL007. K168 is an isogonal pK with pivot X(6) with respect to the complement of the orthic triangle. 
