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I think it is actually possible to do this purely with plotting function. We can abuse MeshFunctions and ContourPlot3D to do it. f1[x1_, x2_, e_] := x1^2 + x2^2 - e f2[x1_, x2_, e_] := x1 - x2 - e ContourPlot3D[f1[x1, x2, e] == 0, {x1, -3, 3}, {x2, -3, 3}, {e, 0, 3}, MeshFunctions -> {Function[{x1, x2, e}, f2[x1, x2, e]]}, Mesh -> {{0}}, ...



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