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Algebraic Curves of Higher Degrees in the Affine Plane ℝ2

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Geometry
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Abstract

The simplest curve of higher degree, by which we mean degree higher than 2, is the curve known as the cubical parabola. The parabola we have encountered before has the equation y = x 2, after a suitable change of coordinate system in ℝ2. It has the graph shown in Figure 13.1.

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© 2002 Springer-Verlag Berlin Heidelberg

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Holme, A. (2002). Algebraic Curves of Higher Degrees in the Affine Plane ℝ2 . In: Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04720-0_13

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  • DOI: https://doi.org/10.1007/978-3-662-04720-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07546-9

  • Online ISBN: 978-3-662-04720-0

  • eBook Packages: Springer Book Archive

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