Talk:First fundamental form
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The example is flawed: 1) the parameterization does not cover the entire unit sphere, and 2) it is not 1-1 on the given domain. The point (u,0) is mapped to the point (0,0,1) regardless of u.
It should state that a parameterization of the unit sphere minus two poles is given by ... with the domain of v as (0,pi) 15:52, 5 February 2008 (UTC)