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 1041
be. VOL. IV. 207 826 THEORY OF CAPILLARY ATTRACTION. [Méc. Céi. [9852] Now if we put p=r--^Y q = f-^j [9312], we shall have, by the theoryof curve surfaces,* ., . ■+^-)-0-p^-Kg)+(S)^+<+p-(g). [9853] R + R— (i + p3 + q2;i therefore we shall have tion uf the [9854] which is evidently the same as… … \/i+p2+q2 dy q I ^I4.p2+q2 \)=gD.JX(h+z).dx.dy. * (4269) Taking the partial differentials of p, q [9852], relative to x, y, and using thesymbols [9312, 9313], we evidently have t»-> =(S)=(g)> -(l|)=(|)-(S)^ -Q=(l)- Putting these values of r, s, t, in [9314], we get [9853], by observing that…
Celestial mechanics · Tides · Capillarity
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