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 411
meridian, corresponding to the pointII [1896]. Now the arc ds of the geodetical line s,is inclined to the axis of y, by an angle whose cosine isdy [18976][1897c] ds [40&] ; therefore the sine of the same angle is df\k ds and by substituting the value of d6-2=d.r2-r-d)/2-j-d.r! (dx2 + dz2)i… … HI. v. §38.] PERPENDICULAR TO THE MERIDIAN. 387 vanishes, at the origin of the curve ; hence we have d x — 0, d z = 0 ; [I897qconsequently, d . (r . sin. è. cos. <p) = 0 ; d . (r . cos. 0) = 0 ; [1898] therefore,* r de = rd<?. sin. 6. cos. 4. tang. <p ; [1899] but by neglecting quantities…
Celestial mechanics · Tides · Capillarity
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