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Can someone help to describe some possible parametrizations for the ellipsoid:

$$\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1?$$

I am thinking polar coordinates, but there may be the concept of steographic projecting (not sure how to apply it here), and not sure how many ways I can provide such possible parametrizations for the ellipsoid.

Thanks

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    For ellipsis it looks like this $x = a\cos(\varphi), y = b\sin(\varphi)$2012-10-02

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