isogonal cubic

A pivotal isogonal cubic is a self-isogonal cubic that possesses a pivot point, i.e., in which points P lying on the conic and their isogonal conjugates are collinear with a fixed point Q known as the pivot of the cubic. Pivotal isogonal cubics pass through the vertices of the Cevian triangle of the pivot point. Let the trilinear coordinates of X be α:β:γ, then X' has trilinear coordinates α^(-1) :β^(-1) :γ^(-1), or equivalently βγ:γα:αβ.

Darboux cubic | M'Cay cubic | Napoleon-Feuerbach cubic | Neuberg cubic | orthocubic | pivot point | self-isogonal cubic | self-isotomic cubic | Thomson cubic | triangle cubic