## ellipsoids

Noun

- plural form of
*ellipsoid*

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- These, together with values of nt 2 N for cylindrical rods, and of N and m 2 N for
**ellipsoids**of revolution, are given in the following useful table (loc. cit. - The magnetometric method, except when employed in connexion with
**ellipsoids**, for which the demagnetizing factors are [[[Magnetic Measurements]] accurately known, is generally less satisfactory for the exact determination of induction or magnetization than the ballistic method. - Legendre, in 1783, extended Maclaurin's theorem concerning
**ellipsoids**of revolution to the case of any spheroid of revolution where the attracted point, instead of being limited to the axis or equator, occupied any position in space; and Laplace, in his treatise Theorie du mouvement et de la figure elliptique des planetes (published in 1784), effected a still further generalization by proving, what had been suspected by Legendre, that the theorem was equally true for any confocal**ellipsoids**. - A system of confocal
**ellipsoids**is taken y2 (3) a 2 +X b 2 +X c2 + A= I, and a velocity function of the form = x1 P, (4) where 4' is a function of X only, so that 4) is constant over an ellipsoid; and we seek to determine the motion set up, and the form of >G which will satisfy the equation of continuity. - The continuity is secured if the liquid between two
**ellipsoids**X and X 11 moving with the velocity U and 15 1 of equation (II), is squeezed out or sucked in across the plane x=o at a rate equal to the integral flow of the velocity I across the annular area a l.

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