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MathGroup Archive 2005

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region bounded by surfaces

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61126] region bounded by surfaces
  • From: "David Turner" <dturner at faulkner.edu>
  • Date: Tue, 11 Oct 2005 03:20:18 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello,
 
I did not describe my problem accurately in [mg61097] surface intersection.  I should have said:
 
I wish to plot the region bounded by 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 region bounded by the surfaces.  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 region bounded by the surfaces.
 
Any ideas?

Thanks in advance.


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