: Mathematics: cubic plane curve

geometry > Euclidean geometry > plane curve > cubic plane curve

geometry > algebraic geometry > algebraic variety > algebraic curve > cubic plane curve

cubic plane curve

In mathematics, a cubic plane curve is a plane algebraic curve $C$ defined by a cubic equation
${\\displaystyle F(x,y,z)=0}$
applied to homogeneous coordinates ${\\displaystyle (x:y:z)}$ for the projective plane; or the inhomogeneous version for the affine space determined by setting $z = 1$ in such an equation.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cubic_plane_curve)

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