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MathGroup Archive 2002

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Parametric surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg35241] Parametric surface
  • From: jl_03824 at yahoo.com (Jun Lin)
  • Date: Wed, 3 Jul 2002 05:15:10 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Given functions F=F(x,y;a,b) and G=G(x,y;a,b), where x and y are
coordinates and a and b are parameters. So,

 F(x,y;a,b)=0,
{
 G(x,y;a,b)=0

defines two 3D surfaces:

 x=x(a,b),
{
 y=y(a,b).

Suppose the functions F and G are implicit and transcendental, so they
are cumbersome to be solved directly to give x=x(a,b) and y=y(a,b). My
question is whether it is possible to draw these two surfaces from
relations F=0 and G=0.

I appreciate with your help!

Jun Lin


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