Algebraic curve

id: algebraic-curve-303-6065273
title: Algebraic curve
text: In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective plane of a homogeneous polynomial in three variables. An affine algebraic plane curve can be completed in a projective algebraic plane curve by homogenizing its defining polynomial. Conversely, a projective algebraic plane curve of homogeneous equation h(x, y, t) = 0 can be restricted to the affine algebraic plane curve of equation h
brand slug: wiki
category slug: encyclopedia
description: Curve defined as zeros of polynomials
original url: https://en.wikipedia.org/wiki/Algebraic_curve
date created:
date modified: 2024-02-07T19:34:27Z
main entity: {"identifier":"Q266237","url":"https://www.wikidata.org/entity/Q266237"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/53/Tschirnhausen_cubic.svg","width":360,"height":480}
fields total: 13
integrity: 15

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