Let be Cubic plane curves meeting in nine points , ..., . If is any Cubic containing , ..., , then contains as well. It is related to Gorenstein Rings, and is a generalization of Pappus's Hexagon Theorem and Pascal's Theorem.

**References**

Eisenbud, D.; Green, M.; and Harris, J. ``Cayley-Bacharach Theorems and Conjectures.'' *Bull. Amer. Math. Soc.*
**33**, 295-324, 1996.

© 1996-9

1999-05-26