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MathGroup Archive 2005

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Re: surface intersection

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61165] Re: surface intersection
  • From: "Scout" <mathem at tica.org>
  • Date: Tue, 11 Oct 2005 06:19:12 -0400 (EDT)
  • References: <did2rf$qdh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"David Turner" <dturner at faulkner.edu> news:did2rf$qdh$1 at smc.vnet.net...
> Hello,
>
> I wish to plot the intersection of the surfaces x = Sqrt[2 - y^2] and z = 
> Sqrt[2 - y^2] which lies in the first octant.  I wish for the plot to be 
> limitd to only the intersection.  My best attempt is
>
> ParametricPlot3D[{{Sqrt[2-t^2+0.00001], t, u}, {u, t, 
> Sqrt[2-t^2+0.00001]}},
> {t, 0, Sqrt[2]}, {u, 0, Sqrt[2]}, ViewPoint -> {2.75, 2.4, 1}];
>
> However, this shows more than the intersection
>
> Any ideas?
>
> Thanks in advance.
>

Hi David,
if you are interesting in more advanced graphic problems
you have to download the DrawGraphics package from David Park's web site:
http://home.earthlink.net/~djmp/Mathematica.html

and then follow the link at Gorni's web page: 
http://www.dimi.uniud.it/~gorni/Mma/Mma.html#LevelPlot3D

to download the CurvesGraphics package that is integrated with DrawGraphics;
it implements, by the other, the SurfaceIntersectionPlot3D[] command.
I hope it helps you.

Regards,
    ~Scout~



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