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X(1), X(4), X(1490) foci of the circumconic with center X(1), perspector X(9) antipodes of A, B, C on (O) vertices of the cevian triangle of X(329) 

K712 is a circumcubic that passes through the foci of the circumconic (C) with center X(1), perspector X(9). K712 meets : • the line at infinity at the same points as K692 = pK(X6, X8) or pK(X9, X3436), • the circumconic (C) at the same points as pK(X9, X78). • the circumcircle at the same points as the Darboux cubic K004 or pK(X1033, X4). 
