Bézout's theorem

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Bézout's theorem

[′bā‚zōz ‚thir·əm]
(mathematics)
The theorem that the product of the degrees of two algebraic plane curves that lack a common component equals the number of their points of intersection, counted to the degree of their multiplicity, including points of intersection at infinity.
References in periodicals archive ?
Since A is non-degenerate, we have 4 [less than or equal to] deg(A) [less than or equal to] 7 (even if T has a 3-dimensional component) by Bezout's theorem ([12, Theorem 2.
The first decade was focussed on applying Bezout's theorem for counting the solutions.