Newton's principia, first book sections I, II, III, with notes and illustrations and a collection of problems, principally intended as examples of Newton's methods (1900)
observa-tion 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. Ultimse rationes illae quibuscum quantitates evanescunt, re-vera non sunt rationes quantitatum ultimarum.… … 8 NEWTON. that a . 13 :: AD + MP: AE+MQ; now, let MFQ be sup-posed to move up to ADE^ then, In the ultimate form of thehypothesis, a and 13 vanish, and are called vanishing quantitiesfrom this circumstance. Also, the ultimate ratio of the vanishing quantities isAD : AE. In this case, since MP. MQ…
Mechanics · Celestial mechanics
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-56-31.webp)