5 Abstract coordinate systems 29


Coordinate component curves



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Coordinate component curves


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

The CS type 3D case:



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




,






, and






.



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