Category:Bézout's Theorem

This category contains pages concerning Bézout's Theorem:

Let $X$ and $Y$ be two plane projective curves defined over a field $F$ that do not have a common component.

Then the total number of intersection points of $X$ and $Y$ with coordinates in an algebraically closed field $E$ which contains $F$, counted with their multiplicities, is equal to the product of the degrees of $X$ and $Y$.

Source of Name

This entry was named for Étienne Bézout.