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Algebraic curve

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Algebraic geometry Algebraic curves
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An **algebraic curve** is a curve defined by a polynomial equation in two variables with coefficients in a given field, often a field of real or complex numbers. More formally, an algebraic curve can be described as the set of points (x, y) in the plane that satisfy a polynomial equation of the form: \[ F(x, y) = 0 \] where \( F(x, y) \) is a polynomial in two variables.

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Algebraic curve by Ciro Santilli 37 Updated 2025-07-16
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