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
ss than any assignablevolume, hence the conditions that the two series may have thesame limit are satisfied, and hence also the volume of revolution,which is greater than one sum and less than the other, is ultimately in a ratio of equality to either sum. The same argument applies, if the… … LEMMA II, HI, 21 Thus, if SABCF be a sectorial area, and the angle ASF be divided into equal portions A SB, BSC, and the circular arcs Ab9 aBc, bCd, be drawn with center Sj then, since the difference of the two series of circular sectors is the sum of the areas ab, be, it is equal to the difference…
Mechanics · Celestial mechanics
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