Question: How do I smooth jagged intersect plot

Hello. I am trying to plot a few lines in a threedimensional space in maple 14. The lines are doing what I want, bu they are all pretty ragged. Is there something like a smooth function?

Increasing the numpoints improves the situation, but my processingpower isn't big enough for satisfactory results.

Thanks a lot Ivo

The Code:
> with(plots);
display(
[implicitplot3d([y = 1/x, y = 2*x/(1+2*z)], x = 0 .. 3, y = 0 .. 4, z = 0 .. 2.5, numpoints = 1000, contours = 5, style = contour, thickness = 2, color = black, axes = normal),
intersectplot(y = 1/x, y = 2*x/(1+2*z), x = 0 .. 3, y = 0 .. 4, z = 0 .. 2.5, numpoints = 10000, color = red, thickness = 2)]
);

And this is the image:

Please Wait...