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X(4), X(5), X(15), X(16), X(52), X(128), X(186), X(1154), X(1263), X(2383), X(2902), X(2903), X(2914) vertices of the orthic triangle 

This is the Neuberg cubic of the orthic triangle. It is a pK with pivot H, with pole the barycentric product X(11062) of X(5) and X(186), with singular focus X(137). We find it in the FG paper "Antiorthocorrespondents of circumconics". See the Downloads page. See also Neuberg cubics. K050 is an antigonal cubic and a member of the class CL019 of cubics. The isogonal transform of K050 is the inversible cubic K112. 
