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" Quantities, and the ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal. "
The Analogy of Divine Wisdom: In the Material, Sensitive, Moral, Civil and ...
tekijä(t) Richard Barton - 1750 - 234 sivua
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Philosophy of Nature

Georg Wilhelm Friedrich Hegel - 2002 - 400 sivua
...factor. See op. cit. bk. I lemma i, 'Quantities, and the ratios of quantities, which, in any finite tune converge continually to equality, and before the end of that time approach nearer to each other than by any given difFerence, become ultimately equal. If you deny it, suppose them to...
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Companion Encyclopedia of the History and Philosophy of the ..., Nide 1

I. Grattan-Guinness - 2003 - 872 sivua
...Newton (7657: Book I, Section 1, Lemma 1) stated: 'Quantities and the ratios of quantities; which in any time converge continually to equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal.' In his first published work on...
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Newman's Approach to Knowledge

Laurence Richardson - 2007 - 232 sivua
...Newton, Philosophiae naturalis principia matematica, book 1 , lemma I: 'Quantities, and the ratios of quantities, which in any finite time converge continually...equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal.' Quotation is taken from Sir Isaac...
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The Continuous and the Infinitesimal in Mathematics and Philosophy

John Lane Bell - 2005 - 354 sivua
...demonstrate the propositions that follow"; its first Lemma reads: Chapter 2 Quantities, and the ratios of quantities, which in any finite time converge continually...equality, and before the end of that time approach nearer to each other than by any given difference, become ultimately equal;1 its third: ...the ultimate ratio...
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