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 290
C d R FF. Then, in therectangular plane triangles Ccc, CFA,we have, by neglecting terms of the order a, C c = C c . cos. c Cc= a . cos. 6, CP=CA.cos.PCA= a . cos.O,hence, Fc= CP—Cc=a.cos.ê — a.cos.ê,In the similar right angled triangles Rcc,RFP, we have Rd = ciî.cos. cRC, R F= RP .cos. cRC, whose… … [1656a] [1656c] 266 SOLID SPHEROID, NEARLY SPHERICAL, [Méc. Cél. [1656] and by substituting the value of / = 2 a . sm.p . cos. q, it gives,* t16»/] fj. = ,,.. cos.2p — sin.2;;. cos. (2q-\- *)• We must now observe, with respect to the integral ftj.dp.dq.sin.p,[1657] taken relative to q, from 2q = —*…
Celestial mechanics · Tides · Capillarity
Internet Archive · Wellesley College Library · Public Domain Mark 1.0. Free to use for anything.
