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X(3), X(4), X(64), X(3543), X(10606)

infinite points of the altitudes

ZaZbZc : pedal triangle of X(10606)

points of pK(X6, X3543) on (O)

foci of the inscribed Steiner ellipse

This cubic is related with Table 58. It is pK(X6, X3543)'s sister.

K847 is the isogonal pK with pivot H with respect to the triangle Q1Q2Q3 whose vertices are the intersections of (O) and pK(X6, X3543).

It is also the isogonal transform of K706 and spK(X20, X2) as in CL055 and Table 54.