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X(3), X(15), X(16), X(30), X(128), X(140), X(214), X(618), X(619), X(1511), X(3647), X(6760)

midpoints of ABC

K900 is a member of the pencil generated by the Neuberg cubic K001 and the decomposed cubic which is the union of the Brocard axis and the line at infinity counted twice. The focal cubic K463 and K894 are two other remarkable members.

All these cubics are circular and share the same singular focus X(110), the same real asymptote passing through X(30) and X(74), the same orthic line which is the Euler line. They pass through X(3), X(15), X(16) which are their only finite common points.

K900 is the complement of K060.