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 331
) In the annexed figure C AE e is the axis of thecylinder, taken as the axis of a; ; D die attracted point, C theorigin of the co-ordinates ; C A = x, AB ^y, B D ^^^ z,CD = r, angle DC A = è, DAB = v!, and D .^ = r= r . sin. ^ = r . \/r=rjI3, [465],as in [492]. Hence we get which are used in [493,… … »=-=-0+(-)-(^>\4?:/+--CT)+=-GTr> II. ii. §13.] ATTRACTION OF A CYLINDER. therefore contain ij., except by means of r, considered as a function of thatquantity ; this gives [493/;] (1V\ fdV\ /dr\ r^ fdV^ 301 du.) \di-J Kd^kJ ,/i ,,i \dr ddv\ _ ?-v^ fdd v\ j-^ fm\ • therefore the equation (C)…
Celestial mechanics · Tides · Capillarity
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