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 26
nation, butonly that they will be so in the ultimate form; which observation implies that the ratio of the vanishing quantities is not anequivalent expression with the ultimate ratio of the vanishingquantities, the former being taken ante finem temporis. Ultimas rationes illas quibuscum quantitates… … 8 NEWTON. Let a, /3 be the areas AMPD, AMQE, then it is easily foundthat a : £ :: AD+MP : AE+MQ; now, let MPQ be supposed to move up to ADE, then, in theultimate form of the hypothesis, a and /3 vanish, and are calledvanishing quantities from this circumstance. Also, the ultimate ratio of the…
Mechanics · Celestial mechanics
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