too complicated to be written here. Click on the link to download a text file. X(4), X(30), X(143), X(1147), X(1992), X(2574), X(2575), X(15471) isogonal conjugates X(15460) = X(1312)*, X(15461) = X(1313)* traces of the line (L) through X(107), X(110) traces of the circle (C) through X(107), X(110), X(125) Geometric properties :
 We meet K934 in Hyacinthos #26858 (A. P. Hatzipolakis) and more specifically here (Angel Montesdeoca, in Spanish). A generalization is given below. K934 is the locus of the barycentric product N = M x M⊥ when M traverses the Euler line (in which case the orthocorrespondent M⊥ of M traverses the line GK). Note that N is also the midpoint of M and H/M, the H-Ceva conjugate of M. See a list of pairs {M, N} at the bottom of this page. See also Table 64, Lemoine cubics. K934 is a cuspidal cubic with cusp H and cuspidal tangent passing through X(107) and the center X(125) of the Jerabek hyperbola (J). K934 has three real asymptotes : one is the parallel to the Euler line at the center X(5972) of (C), the two others are the parallels at X(11746) to those of (J). K934 has one real point of inflection F = X(15471) on the line HK, the barycentric product of X(468) and X(1992). Note that X(468)⊥ = X(1992).