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X(476), X(3258)

K601 is an example of pivotal cubic having a line of points whose polar conics are circular as in Table 47. See K392 and CL009 for more informations.

This line is called the circular line of the cubic and it is the parallel at G to the lines X(476)X(1304), X(477)X(2693), X(1650)X(3258). The polar conic of its point at infinity is the orthoptic circle of the Steiner inellipse.

K601 has three concurring asymptotes at G but one only is real. The polar conic of G decomposes into the line at infinity and the radical axis of the pencil of circles which is the line X(1637)X(3258).