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" I should happen to consider quantities as made up of particles, or should use little curve lines for right ones, I would not be understood to mean indivisibles, but evanescent divisible quantities; not the sums and ratios of determinate parts, but always... "
The First Three Sections of Newton's Principia: With Copious Notes and ... - עמוד 16
מאת Isaac Newton - 1826 - 183 דפים
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., כרך 8

John Mason Good - 1819
...particles, or should use little curve lines for right ones; I would not be understood to mean indivisibles, but evanescent divisible quantities ; not the sums...ratios; and that the force of such demonstrations alwiys depend; on the method laid down in the foregoing lemmas. " Perhaps it may be objected, that...
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The London encyclopaedia, or, Universal dictionary of science ..., כרך 15,חלק 2

Thomas Curtis (of Grove house sch, Islington)
...particles, or should use little curve lines for right ones, I would not be understood to mean indivisibles, but evanescent divisible quantities; not the sums...such demonstrations always depends on the method laid doA'n in the foregoing lemmas. ' Perhaps it may be objected that there is no ultimate proportion of...
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The Historical Development of the Calculus

C.H.Jr. Edwards - 1994 - 368 דפים
...should use little curved lines for right (straight) ones, I would not be understood to mean indivisibles but evanescent divisible quantities; not the sums...demonstrations always depends on the method laid down in the foregoing Lemmas." In the introduction to the De Quadrature (discussed in the next section) he similarly...
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Berkeley's Philosophy of Mathematics

Douglas M. Jesseph - 1993 - 322 דפים
...evanescent 12. Breidert (1969) suggests the same reading as I present here. • 162 • Chapter Five divisible quantities; not the sums and ratios of determinate...demonstrations always depends on the method laid down in the foregoing Lemmas. (Principia I, 1, 11) Berkeley's entry 374 clearly refers to this Newtonian passage...
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From Kant to Hilbert Volume 1: A Source Book in the Foundations of Mathematics

William Bragg Ewald - 2005 - 678 דפים
...as straight," 1 do not wish to be understood as meaning indivisibilia, but evanescent divisibilia; not the sums and ratios of determinate parts, but always the limits of sums and ratios; and the force of such demonstrations always depends on the methods laid down in the preceding lemmas. It...
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Essays on Galileo and the History and Philosophy of Science, כרך 3

Stillman Drake - 1999 - 379 דפים
...straight ones, I would not be understood to mean indivisibles, but evanescent divisible quantities; not sums and ratios of determinate parts, but always the limits of sums and ratios. ( 1 947, p. 38) Again, later in the Principia, he forbade consideration of continuous variables in...
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The Development of Newtonian Calculus in Britain, 1700-1800

Niccol- Guicciardini - 2003 - 244 דפים
...particles. or should use little curved lines for right ones. I would not be understood to mean indivisibles. but evanescent divisible quantities: not the sums...demonstrations always depends on the method laid down in the foregoing Lemmas.4 The common answer of the fluxionists was that Berkeley's logical criticism was applicable...
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The Continuous and the Infinitesimal in Mathematics and Philosophy

John Lane Bell - 2005 - 349 דפים
...particles, or should use little curved lines for right ones, I would not be understood to mean indivisibles, but evanescent divisible quantities; not the sums...parts, but always the limits of sums and ratios... Perhaps it may be objected, that there is no ultimate proportion of evanescent quantities; because...
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