Laplace, Pierre Simon, marquis de, 1749-1827, Bowditch, Nathaniel, 1773-1838, Bowditch, N. I. (Nathaniel Ingersoll), 1805-1861 · Boston, Hillard, Gray, Little, and Wilkins · leaf 1022
se, tlie area corresponding to the spherical surface MJSI, or nni, will evidently be ^r—; and this, being multiplied by the difference of the radii Cm, CM, represented by dr, will be the volume contained in the part corresponding to MNnm, which will therefore be -^-. Now the force at C, which we… … MNnm, in the direction of the canal iWm, equal to -r—xF.sm.i^zAFdr: and sin.f) quantities A, F, dr, are the same at the point P as at M, the action upon the particlesOopP will in like manner be represented by AFdr, the variable angle é having vanishedfrom both these expressions ; hence the action…
Celestial mechanics · Tides · Capillarity
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