Getting only 1 of 3 curves of intersection

*To*: mathgroup at smc.vnet.net*Subject*: [mg126292] Getting only 1 of 3 curves of intersection*From*: Bill <WDWNORWALK at aol.com>*Date*: Sun, 29 Apr 2012 02:09:26 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi: Consider the following plot: g1=Plot3D[Sin[x*y],{x,0,Pi},{y,0,Pi},PlotStyle->None,MeshStyle->Red,Axes->True,AxesLabel->{"x","y","z"}]; g2=Plot3D[Cos[x*y],{x,0,Pi},{y,0,Pi},Mesh->None,PlotStyle->{Cyan,Opacity[.8]}]; nsSol=NSolve[{z-Sin[x*y],z-Cos[x*y]},{y,z}];//Quiet g3=ParametricPlot3D[{x,y,z}/.nsSol[[2]],{x,0,Pi},PlotStyle->{Magenta,Thickness[.007]}]; Show[g1,g2,g3,Background->LightYellow,ImageSize->500] Using the above Mathematica 8.0.4 code, I can plot one curve of intersection shown in magenta. Within the plotted area, I can see 2 more places where intersection curves should be. I've tried using Reduce in place of NSolve, but can't get it to work. Question: If this can be done, can someone please give me the code? Thanks, Bill

**Follow-Ups**:**Re: Getting only 1 of 3 curves of intersection***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: Getting only 1 of 3 curves of intersection***From:*Andrzej Kozlowski <akozlowski@gmail.com>