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X(4), X(23), X(511), X(895), X(1337), X(1338), X(1916), X(3557), X(3558), X(3563)

K289 is the antigonal transform of the line HX(69).

It is also the orthoassociate of the conic passing through X(4), X(114) and the vertices of the orthic triangle. See a generalization at K186. See also the Ehrmann strophoid K025 and the Gigha cubic K288.

K289 is a circular nodal cubic with node H. The nodal tangents are parallel to the asymptotes of the circum-conic passing through X(64) and X(98).

The real asymptote is the parallel at X(99) to the Brocard axis. K289 meets its asymptote at X, a point on the rectangular circum-hyperbola passing through X(99).

K289 meets the Neuberg cubic at A, B, C, H (double), the Wernau points X(1337), X(1338) and the circular points at infinity.

See another generalization and other related cubics in Table 43.