5 Coordinate systems 25



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Coordinate curves

Coordinate curves are defined for CSs of type 3D, surface, and 2D.

The 3D CS case:



If F is the generating function of a 3D CS defined on CS domain D in coordinate-space and u = (u0, v0, w0) is in the interior of the CS domain D, then the 1st, 2nd, and 3rd coordinate curve at u is parametrically specified, respectively, by the following smooth functions:






















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