| u is (the locus of) a coordinate curve: C1 = S2S3, C2 = S1S3, and C3 = S2S1.
The surface and 2D case:
If F is the generating function of a surface or 2D CS defined on CS domain D in coordinate-space and u = (u0, v0) is in the interior of the CS domain D, then the 1st and 2nd coordinate curve at u is parametrically specified, respectively, by the following smooth functions:
The domain for C1 is the connected component of  which contains u0.
The domain for
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