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"mcanique cleste volume 2"
by pierre simon laplace
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Author: pierre simon laplace

Arts & Photography » Artists, A-Z » ( G-I ) » Giotto

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ISBN: 1178919048

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...sphere, and formed of strata, varying according to any law [1505, 1506] § 14 Extension of the preceding researches to any spheroid whatever ; reduction of its attraction to a series of a very simple form ; new solution of the problems of the attractions of elliptical spheroids which results from this method [1507 — 1563] § 15, 16, 17 CHAPTER III. ON THE FIGURE OF A HOMOGENEOUS FLUID MASS IN EaUILIBRIUM, AND ENDOV^^ED WITH A ROTATORY BIOTION 199 General equation of the surface in a state of equilibrium [1564]. The ellipsoid satisfies this equation [1574"]. Determination of this ellipsoid. The gravities at the pole and at the equator are in the ratio of the diameter of the equator to the axis of the poles [1578"]. Two elliptical figures, and no more, can satisfy a given angular motion of rotation [1. 597"] ; and relatively to the earlh, supposing it to be homogeneous, the equatorial diameter is to the polar axis as 680, 49 to 1, in the most oblate ellipsoid [1603"] ; and as 231, 7 to...

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