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 645
2350] spheroid. The value of V then arises from the attraction of an aqueous stratum, whose internal radius is /, and external radius /+«»/; r being [2350] nearly equal to unity. We have seen, in [2144, 2146], that if we suppose [2351] y = ym + y«> + fw + Y(3> + Y(4> + &c, we shall… … «-£)•*{*£ M>-£M*JP [2354a] * (1755) Substituting y=îP [2351], V=g.s .^.V* [2352], in [2354t] [2324], then dividing by g-, we get, j=îfl-_^L_Vr(il. Moreover, thedifferential of the preceding value of y, taken relatively to d I, gives the expression( — J = S I- 1. Substituting these in the first…
Celestial mechanics · Tides · Capillarity
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