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 382
so that tlie co-ordinates of any pomt D, may be expressedeither by CH=x, HB=y, BD=z,or by CA = x, AB^iJ, BB:^z.The ang\e HCF=HBE=^6, angleBjlD = if>, FH, AE, being parallelto tlie axis of ]/, and HE parallel to dieaxis of x. Then we evidently haveC^=CF+H E = x.COS. ê+y.sm.6.J1B = BE —F H== y… … * (421 ) Multiplying [588] by — c, we get 0 = (c . sin. Ù . tang, (p) .x — (c . cos. ê . tang, cp) . y -\- c . z,which being compared witli [589] gives the values of c, c, [590]. The latter divided bythe former gives tang. Ô, [591]. The sum of the squares of [590] is c^~]-d^=c^.tan^.^(p,whence we…
Celestial mechanics · Tides · Capillarity
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