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 797
d, by thesubstitution of jp=:a.(l —e^) (5). The last of the formulas (14), is the same as in (8); and the second is deduced from this by (15) using the value of tang.(45—|(p) (4). Multiplying together the last values of (15) sin.Am, cos.^u (12,13), reducing by means of [31] Int., and using ^/l —e^… … (15); then substituting p = t/.cos.^ç), and ^^=«.cos.<p, we get the third andfourth expressions in that line. Multiplying together the first values of r and cos.v(9, 11), we get the first expression of ?-.cos.v (17) ; substituting e = sin.ç, or rather_ c = cos.(90+ç)) , we get, cos. M — e = COS.…
Celestial mechanics · Tides · Capillarity
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