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X(74), X(265), X(5961), X(6344) X(1989)isoconjugates of the infinite points of the McCay cubic K003, vertices of an equilateral (blue) triangle vertices of the (yellow) cevian triangle of X(94) 

K724 is a nodal stelloid with node X(265). The nodal tangents are the parallels at X(265) to the asymptotes of the Jerabek hyperbola. K724 is the X(1989)isoconjugate of the third Musselman cubic K028. It follows that the circumconic (C1989) with perspector X(1989) meets K274 again at the vertices of an equilateral triangle. More generally, any isoconjugation with pole on the circumconic with perspector X(51) maps the infinite points of K003 to the vertices of an equilateral triangle. This latter circumconic contains X(112), X(1625), X(1987), X(1989). The asymptotes of K724 concur at X = X(14854). 
