A Nontrivial Point on the Isogonal Pivotal Cubic with Pivot on the Circumcircle

Published in International Journal of Geometry, 2022

It’s well-known that the nine-point center $X(5)$ and its isogonal conjugate point, Kosnita point $X(54)$, lie on the isogonal pivotal cubic $K316$ with pivot Euler reflection point $X(110)$. In this article we generalize this result to any isopivotal cubic with pivot on the circumcircle to find a nontrivial point on it. This article is a joint work with Junchen Du.

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