Image:CubicCurve.svg

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CubicCurve.svg‎ (SVG file, nominally 392 × 374 pixels, file size: 164 KB)

This is a file from the Wikimedia Commons. The description on its description page there is shown below. Commons is a freely licensed media file repository. You can help.

Description	A selection of cubic curves
Source	self-made
Date	2008-02-14
Author	Tos
Permission (Reusing this image)	Public domain

This is a collection of cubic curves for the equation (with parameters a and b): 4 x^3 - a x^2 y + 9 x y^2 - 9 y^3 - 36 x + 36 y + 10 b == 0 Region shown: [-5,5]²

Created with Mathematica / Créé avec Mathematica:

GraphicsArray[
  Table[
    ContourPlot[
      4 x^3 - a x^2 y + 9 x y^2 - 9 y^3 - 36 x + 36 y + 10 b == 0,
      {x, -5, 5},
      {y, -5, 5},
      FrameTicks -> None, 
      ContourStyle -> {Blue, Thick}
    ],
  {a, -4, 12, 4},
  {b, -8, 8, 4}
  ]
]

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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	Date/Time	Dimensions	User	Comment
current	21:41, 14 February 2008	392×374 (164 KB)	Tos	({{Information \|Description=A selection of cubic curves \|Source=self-made \|Date=2008-02-14 \|Author= Tos \|Permission=Public domain \|other_versions= }} This is a collection of cubic curves for the equation (with parameters a and b): 4 x^3 - a )

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Cubic plane curve

Image:CubicCurve.svg

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