MathGroup Archive 2005

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surface intersection

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.

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