C2 is the connected component of  which contains v0.
EXAMPLE If u = (r0, 0) is in the interior of the CS domain of the polar CS generating function F of 5.2.2 Example 1, then the 1st-coordinate curve is C1( ) = F(r0, ) = (r0 cos( ), r0 sin( ) ), and the 2nd-coordinate curve is C2( r ) = F(r, 0) = (r cos(0), r sin(0)).
If F is the generating function for the geodetic 3D CS or the surface geodetic CS, and  in the 2D case or  in the surface case, then (see Figure 5 .3):
the 1st-coordinate curve at
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