# Gerbaldi's theorem

In linear algebra and projective geometry, **Gerbaldi's theorem**, proved by Gerbaldi (1882), states that one can find six pairwise apolar linearly independent nondegenerate ternary quadratic forms. These are permuted by the Valentiner group.

## References

- Gerbaldi, Francesco (1882), "Sui gruppi di sei coniche in involuzione" (in Italian),
*Torino Atti***XVII**: 566–580

Original source: https://en.wikipedia.org/wiki/ Gerbaldi's theorem.
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