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Maclaurin-Bezout Theorem

The Maclaurin-Bèzout theorem says that two curves of degree $n$ intersect in $n^2$ points, so two Cubics intersect in nine points. This means that $n(n+3)/2$ points do not always uniquely determine a single curve of order $n$.

See also Cramér-Euler Paradox

© 1996-9 Eric W. Weisstein