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path along equi-contours


Hi,
 
I have a rather complicated scalar function over real space, let's call it S(x,y,z).
 
Would it be possible to get Mathematica to find the equi-contours of this function spaced by a certain delta S, and delta x, delta y, delta z, or better yet, delta l = sqrt ( (delta x)^2 + (delta y)^2 + (delta z)^2 )?
 
That's a small l above (delta l), for line length.
 
Now that I think about it, I would have to give it an error tolerance, let's say epsilon. So it would need to find S sub i (for the i'th value) plus or minus epsilon.
 
It sounds so easy to say, or write down, but I don't even know where to start to have Mathematica do this.
 
Thanks,
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