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Error during independent variable change parametric plot3D

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From	Narasimham <mathma18@gmail.com>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Error during independent variable change parametric plot3D
Date	Sun, 2 Mar 2014 06:47:09 +0000 (UTC)
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v[u_,z_]:=5.* z/u;

x[u_,z_]:=u+v[u,z];

y[u_,z_]:=u-v[u,z];

sp="end";

Table[{x[z,v[z,u]],y[z,v[z,u]],z,sp},{u,1,3.,1.},{z,1.,4,1}]//RowForm

g1=ListPlot3D[{{26.,-24.,1.},{8.25,-4.25,2.},{5.777777777777777,0.22222222222222276,3.},{5.5625,2.4375,4.},{51.,-49.,1.},{14.5,-10.5,2.},{8.555555555555554,-2.5555555555555545,3.},{7.125,0.875,4.},{76.,-74.,1.},{20.75,-16.75,2.},{11.333333333333332,-5.333333333333332,3.},{8.6875,-0.6875,4.}},Mesh->All]

g2=ParametricPlot3D[{u+v,u-v,u v/5},{u,1.,3},{v,-5.,10}];

Show[{g1,g2},PlotRange->All]

g3=ParametricPlot3D[{x[u,z],y[u,z],z},{u,1,3},{z,1,4}];

Show[{g2,g3},PlotRange->All]

Show[{g1,g3},PlotRange->All]

Please help to find what I miss in g1 ListPlot3D. Also please indicate how to delete points from g3 to include only those points within range of g2  

TIA 
 Narasimham

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Error during independent variable change parametric plot3D Narasimham <mathma18@gmail.com> - 2014-03-02 06:47 +0000

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