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Parametric Representation of Surfaces


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Parametric representation of the sphere


In Cartesian coordinates the sphere is [Equation goes here - download the original pdf to see it.] Let R be the region of the uv-plane given by [Equation goes here - download the original pdf to see it.] Then a parametric representation of the sphere with radius a is given by [Equation goes here - download the original pdf to see it.] The curves [Equation goes here - download the original pdf to see it.] give meridians on the sphere; the curves [Equation goes here - download the original pdf to see it.] give parallels on the sphere.
Contents of
Parametric Representation of Surfaces

1 Surfaces in xyz-space
2 The need for a parametric representation
3 Standard parametric surfaces
4 Parametric representation of the sphere
5 Parametric representation of the cone
6 Tangent plane

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