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K557

too complicated to be written here. Click on the link to download a text file.

X(30), X(5627)

X(14993) = complement of X(1138)

midpoints Ma, Mb, Mc of ABC

reflections of A, B, C, Ma, Mb, Mc about the perpendicular bisector of OH

K557 is an equilateral axial cubic with axis of symmetry the perpendicular bisector of OH.

One of the asymptotes is the parallel at X(113) to the Euler line. The other are obtained by rotations about X(5).

See Pseudo-Pivotal Cubics and Poristic Triangles.