Laplace, Pierre Simon, marquis de, 1749-1827 · Boston, Hillard, Gray, Little, and Wilkins · leaf 340
306 DIFFERENTIAL EQUATIONS OF THE [Méc. Cél. upon the plane of x, y , makes with the axis of x ; and 6 the inclination of r above the same plane ; we shall have* x = r . cos. d . cos. v ; [501] y = r . cos. d . sin. v ; z = r . sin. d. The equation (E) [500], referred to these new variable… … Lastly, B D = CD. sin. B C D, hence, z — r . sin. d, agreeing with [501]. f (360) It is proved in [465 g — w], that by putting x — r . cos. d, y—r . sin. d. cos. z — r . sin. d . sin. zs, [460], the equation [459] would change into [465]. And as the equation [4 59] would not vary, by writing z for…
Celestial mechanics · Tides · Capillarity
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