Laplace, Pierre Simon, marquis de, 1749-1827 · Boston, Hillard, Gray, Little, and Wilkins · leaf 542
the square of the element of the curve described by m will bef 7'^ d V ^ r^ d s ^ 4- fj r2 4- ‘ • [924] i+" + +(i+^)2’ * (G41) The mutual attraction of the bodies m and J\I, would make the orbit of the body m wholly in the same plane, as is observed in [533"]. The other attracting bodies ni, m",… … A MB = A' MB' = 1, B'Me = dl, AMA' = dvn AA' = rdv„ BB' — A A! . cos. lat. — r dv,. cos. I, and since tang. I — s, gives cos. I — ^=j=== , we shall get BB' = -7==^=; eE = dr, and the arc B' e—r dl~ 4— > [51] Int. [924a] Now the lines B B', B' e, e E, being perpendicular to each other, the sum of…
Celestial mechanics · Tides · Capillarity
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