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Mécanique céleste (1829)

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 30

An illustration from Mécanique céleste, 1829, leaf 30
56] dx.dy.dz will be [1356]transformed into s. P .dp .dq. dr ; P being here what P becomes, when [1356]we substitute for x, y, z, their values in p, q, r. All that is now necessary,is to select such variable quantities p, q, r, as will render the integrationspossible. We shall transform the… … * (921) In the adjoined figure, which is the sameas that in Vol. I, page 8, A is the attracting point, cthe attracted point, K the origin ; so that the co-ordi-nates of the point A are K G = a? G _E = y,EA = z, and those of the point c are KH=a,Hf= b, fc^=c; hence cb = ef= GH== a — x ; Bb = Cc =…

Celestial mechanics · Tides · Capillarity

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