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MathGroup Archive 2005

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Re: plot hyperbola

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57311] Re: plot hyperbola
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Tue, 24 May 2005 05:12:49 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 5/23/05 at 4:30 AM, bdsatish at gmail.com (bd satish) wrote:


>HI, i am a beginner. Will u please tell me how to plot
>hyperbola,parabola,ellipse and circle in their standard forms
>x^2/a^2 + y^2/b^2 = 1 x^2/a^2 -- y^2/b^2 ==1 etc. Also how do you
>plot a general curve (y versus x), say x^2 +3 x^2 y^3 +67 x^4 y^2
>+34==0 *without solving explicitly for y* ( or x) Please help

The easiest way I know to do this is to use the package Graphics`ImplicitPlot. That is the following will generate the plots you asked about

<<Graphics`ImplicitPlot`

{a, b} = {2, 1}; 
ImplicitPlot[x^2/a^2 +  y^2/b^2 == 1, 
   {x, -5, 5}, Frame -> True,  Axes -> None]; 


ImplicitPlot[x^2/a^2 - y^2/b^2 == 1, {x, -5, 5}];

ImplicitPlot[x^2 + 3 x^2 
    y^3 + 67 x^4 y^2 + 34 == 0, {x, -1, 1},
    AspectRatio -> 1, PlotPoints -> 105];

In the last example, I've changed the aspect ratio and increased the number of plot points to get a better appearing plot.
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