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Figures of Equilibrium of a Rotating Mass of Fluid

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Joseph Liouville 1809–1882

Part of the book series: Studies in the History of Mathematics and Physical Sciences ((HISTORY,volume 15))

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Abstract

After Jacobi’s surprising discovery in 1834 that the rotating triaxial ellipsoids of fluid could be in equilibrium, Liouville began a study of the properties of these figures and of the well-known equilibrium ellipsoids of revolution found by Maclaurin. He published six papers on the question, but only a small fraction of his most far-reaching investigations on the stability of the figures of equilibrium, made during the last months of 1842, appeared in print.

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© 1990 Springer Science+Business Media New York

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Lützen, J. (1990). Figures of Equilibrium of a Rotating Mass of Fluid. In: Joseph Liouville 1809–1882. Studies in the History of Mathematics and Physical Sciences, vol 15. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0989-8_11

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  • DOI: https://doi.org/10.1007/978-1-4612-0989-8_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6973-1

  • Online ISBN: 978-1-4612-0989-8

  • eBook Packages: Springer Book Archive

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