Newton's Principia, sections I, II, III, with notes and illustrations. Also a collection of problems (1863)
Newton, Isaac, Sir, 1642-1727, Frost, Percival, 1817-1898 · Cambridge, London, Macmillan and Co · leaf 39
ite. Volumes of Revolution. 15. In a manner exactly similar to Lemma II, it may beshewn, that, if Aa be perpendicular to AE, and the wholefigure revolve round AE as an axis, the ultimate ratios whichthe sums of the volumes of the cylinders, generated respectively by the rectangles Ab, Be, and aB,… … Thus, the difference of the cylinders generated by Ab andaB is the annulus generated by the rectangle ab, and thedifference of the two series of cylinders, which have all equal heights AB, BC, , is the sum of such annuli, and is easily seen to be the cylinder generated by aB, which, since the…
Mechanics · Celestial mechanics
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