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X(4), X(76), X(14382), X(14387)

projections of X(76) on the altitudes

This is a generalized Lemoine cubic as seen in the FG paper (See the Downloads page).

This is an example of such cubic with three always real concurring asymptotes at the point X = X(14937) on the line X(5)X(76).

Its asymptotes are parallel to those of K410, the isogonal pK with pivot X(194) which is a pK+.