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MathGroup Archive 2005

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Re: surface intersection

  • To: mathgroup at smc.vnet.net
  • Subject: [mg61136] Re: surface intersection
  • From: Peter Pein <petsie at dordos.net>
  • Date: Tue, 11 Oct 2005 03:20:49 -0400 (EDT)
  • References: <did2rf$qdh$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

David Turner schrieb:
> 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,

obviously x==z, so ParametricPlot[{Sqrt[2-y^2],y,Sqrt[2-y^2]},{y,0,Sqrt[2]}]
should do it.

Peter


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