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X(542), X(842)

foci of the K-ellipse (inellipse with center K when the triangle ABC is acute angle)

K188 is the locus of foci of inscribed conics centered on the Fermat line. It is an isogonal focal cubic with root X(1637) and focus X(842). It is also spK(X542, X6) in CL055.

The real asymptote is the homothetic of the Fermat line under h(X842,2).

See also Z+(O) = CL025.