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 659
mall arcof this trajectory ; AF is the perpendicular, letfall upon CDAF. Then, according to theabove notation, we have CA = r; AF^^dr;OCA=v; ACA = dv; AF=rdv; HEA^ê;EAC=^v. If we suppose the constantquantity —q^, to be connected with the integral [8141c] 2fQ?dr [375,376], the last of these formulas… … X. i.§l.] LAWS OF REFLEXION AND REFRACTION. 445 f Diffeien- ^ ^^_ tial efjua- ~ r./çV—c2 —2r2./(prfr [8141] tionn of cdv the motion —.a (^^ [8141] q- being a constant quantity, which is added to the integral 2/fc/r. Moreover, if we put the element of tlie time equal to d(, we shall have, as in…
Celestial mechanics · Tides · Capillarity
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