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 539
; MB=r, ME=:=r~\-dr, the radii vectoresof the body m, including the angle B M E = d v ; C A A M the fixed plane ; P B Jl A B e a sphericalsurface described about the centre M, with the radiusJ\l B, and meeting J\I E in e. Draw the quadrantal arcsP BA, P eB A, perpendicular to the arc A A, andthe… … we [924a] shall get B B = rdv. ■ E = dl k1 the Bi ■dl=. r ds [51] Int. Now tlie lines B B, B e, e E, being perpendicular to each other, the sum of their II. vi. § 4G.] PERTURBATIONS. 509 but tlie square of this element is r. d v- + d r* [919] ; we shall therefore (924]have, by putting these two…
Celestial mechanics · Tides · Capillarity
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