A self-isogonal cubic us a triangle cubic that is invariant under isogonal conjugation. The term is commonly applied to mean a pivotal isogonal cubic, in which points lying on the conic and their isogonal conjugates are collinear with a fixed point known as the pivot point of the cubic.

# Self-Isogonal Cubic

## See also

Isocubic, Pivotal Isogonal Cubic, Triangle Cubic
*Portions of this entry contributed by Floor
van Lamoen*

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## References

Yff, P. "Two Families of Cubics Associated with a Triangle." In*MAA Notes, No. 34.*Washington, DC: Math. Assoc. Amer., 1994.

## Referenced on Wolfram|Alpha

Self-Isogonal Cubic## Cite this as:

van Lamoen, Floor and Weisstein, Eric W. "Self-Isogonal Cubic." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/Self-IsogonalCubic.html