Parametrizing and graphing nonsingular cubic curves (Q1113266)

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scientific article; zbMATH DE number 4080738
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Parametrizing and graphing nonsingular cubic curves
scientific article; zbMATH DE number 4080738

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    Parametrizing and graphing nonsingular cubic curves (English)
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    1988
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    The author gives a practical procedure to use the parametrization of a nonsingular cubic by Jacobi elliptic functions [cf. \textit{A. Clebsch}, Über einen Satz von Steiner und einige Punkte der Theorie der Kurven dritter Ordnung. J. Reine Angew. Math. 63, 94-121 (1864)] for computer graphics. The main point is a transformation of the equation to a standard form and then a backtransformation of the parameter values.
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    graphing
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    parametrization
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    nonsingular cubic
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    Jacobi elliptic functions
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    computer graphics
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