Problem1.3. Describe the one-sheeted hyperboloid as a surface of revolution;(adsbygoogle = window.adsbygoogle || []).push({});

that is, find a positive function [itex]f : R \rightarrow R [/itex] such that

[itex]x(u, v)= \left[ \begin {array}{c} f \left( u \right) {\it cos}\nu

\\\noalign{\medskip}f \left( u \right) {\it sin}\nu

\\\noalign{\medskip}\nu\end {array} \right] [/itex] parameterises the hyperboloid.

So far all I have is the equaiton of the hyperboloid is [itex]x^2+y^2-z^2=1[/itex] and no clue how to proceed. Help please?

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# Homework Help: Differential Geometry Question

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