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K848

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X(3), X(4), X(5), X(64), X(10282)

infinite points of the altitudes

ZaZbZc : pedal triangle of X(10282)

points of K005 on (O)

foci of the inscribed conic with center X(548)

This cubic is related with Table 58. It is K005's sister.

K848 is the isogonal pK with pivot H with respect to the triangle Q1Q2Q3 whose vertices are the intersections of (O) and the Napoleon cubic K005.

It is also the isogonal transform of K566 and spK(X20, X548) as in CL055 and Table 54.

K848 belongs to the pencils generated by

K004 and the union of the line at infinity and the Jerabek hyperbola,

K005 and the union of the Euler line and the circumcircle (O) of ABC.