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arXiv · 1409.7783

The Liouville parametrization of a triaxial ellipsoid

Călin-Şerban Bărbat
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Abstract

In this article we will construct the Liouville parametrization of the triaxial ellipsoid. In the literature quadrics are given as examples of Liouville surfaces, yet no one gives such a parametrization. For this we introduce the generalized Jacobi amplitude as inverse of the elliptic integral of the third kind.

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Călin-Şerban Bărbat. 2014-09-27. The Liouville parametrization of a triaxial ellipsoid. https://arxiv.org/abs/1409.7783

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