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 962
stance tn Thus in fig. 120, PQ being the line of level of the fluid, we have F F = z,and by making VN=y, we shall have dy= — dy; the differential equationof the curve ANQ, which the fluid forms near the plane AP, wiU thereforebe dy = ~ (1 — ct2-) . rfjr PEquation of the!I surface near one II single… … p = l —Z—a6^(l —Z)^ + 2a-.6^(l —Z)^ —5a=.6.(l —Z)H&c.; [9435] [9436] [9437] Elevationof a fluidbetweentwo verynear par-allelplanes. [9438] [9439] [9440] y/l _ Z2 = v/2cu3—a2z4 = Z .v/2a Vl — 4 «-z^ ;hence [942l] becomes as in [9435]. Moreover, by continuing the line MiV = y, fig. 116,page 713,…
Celestial mechanics · Tides · Capillarity
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