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

# Self-Isotomic Cubic

## See also

Pivotal Isotomic Cubic, Self-Isogonal Cubic, Triangle Cubic
*This entry contributed by Floor
van Lamoen*

## Explore with Wolfram|Alpha

## 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-Isotomic Cubic## Cite this as:

van Lamoen, Floor. "Self-Isotomic Cubic." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/Self-IsotomicCubic.html