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    Trident of Newton

    Illustration

     | | x y = x^3 + x^2 + x + 1
 | x y = x^3 + x^2 + x - 1
 | x y = -x^3 - x^2 - x + 1
 | x y = x^3 + 2 x^2 + 3 x + 4

    Definition

    The cubic curve defined by a x^3 + b x^2 + c x + d = x y with a!=0. The curve cuts the axis in either one or three points. It was the 66th curve in Newton's classification of cubics. Newton stated that the curve has four infinite legs and that the y-axis is an asymptote to two tending toward contrary parts.

    Associated person

    Isaac Newton

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