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differential geometry - Understanding the first fundamental form of a surface, how the parametrization doesn't matter. - Mathematics Stack Exchange
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![SOLVED: Elementary Differential Geometry(Springer) problem. Let u,v=2+ coscosv,2+ cos usinv,sinu) be a surface patch of the torus S containing p = (, 0)= (1, 0,0) S. (1) Determine the principal curvatures K SOLVED: Elementary Differential Geometry(Springer) problem. Let u,v=2+ coscosv,2+ cos usinv,sinu) be a surface patch of the torus S containing p = (, 0)= (1, 0,0) S. (1) Determine the principal curvatures K](https://cdn.numerade.com/ask_images/09a96aa855b74abaa0cf90db82c4c37b.jpg)