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X(2), X(6), X(371), X(372), X(485), X(486), X(6792), X(14645), X(14659)

foci of the Lemoine ellipse

K250 is an isogonal focal nK passing through the Vecten points X(485), X(486).

Its root is R = X(9131) and its real point at infinity is X(14645).

The singular focus F is the isogonal conjugate X(14659) of X(14645), on the circumcircle.

K250 is a member of the class CL061.

K250 is the locus of foci of inscribed conics centered on the line passing through the midpoints of GK (i.e. X(597)), X(485)X(371) and X(486)X(372) or equivalently tangent to the trilinear polar of R.