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 564
is Z = Ll.im.K^=r.%m.\.%m.v, as in [7739]. VIlI.xvii.>^37.] THEORY OF THE OUTER SATELLITE. Then we shall have,* X = X.cos.A—Y.sin.A ;Y = X.sin.A+ Y.cos.A ;Z = Z.Therefore, X. = r.cos.A.cos.?;—r.cos.x.sin.A.sin.t; ;y = r.sm.A.cos.r) + r.cos.x.cos.A.sin.« ;Z ^ r.sin.x.sin.?;.If we neglect the… … Axis of s: upon tlie fixed plane; so tliat Cl=X, JU =11the angle ACI = a. Now draw IA parallel toto AB, then we have CB = CA—DI^BL =AI-\-DL. But in tlie rectangulartriangle CAl, liaving Cl=:X, and the angleACl = A, we get, CA = X.cos.A, Al^X.sm.A ;moreover, in the rectangular triangle LDl, wehave…
Celestial mechanics · Tides · Capillarity
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