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" convinced of the exactness of its results by the geometrical method of prime and ultimate ratios, or by the "
Reflexions on the Metaphysical Principles of the Infinitesimal Analysis - Page 90
by Lazare Carnot - 1832 - 132 pages
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Differential and Integral Calculus for Technical Schools and Colleges

Preston Albert Lambert - Calculus - 1898 - 268 pages
...Analytique (1811), " When we have properly conceived the spirit of the infinitesimal method, and are convinced of the exactness of its results by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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Memorabilia Mathematica; Or, The Philomath's Quotation-book

Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...grasped the spirit of the infinitesimal method, and have verified the exactness of its results either by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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The Science of Mechanics: A Critical and Historical Account of Its ...

Ernst Mach - Mechanics - 1915 - 150 pages
...have well conceived the spirit of this system, and when we have convinced ourselves of the exactitude of its results by the geometrical method of prime and ultimate ratios or by the analytical method of derived functions, we can use infinitesimals 'as a sure and convenient instrument...
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The Science of Mechanics: A Critical and Historical Account of Its ...

Ernst Mach - Mechanics - 1915 - 134 pages
...have well conceived the spirit of this system, and when we have convinced ourselves of the exactitude of its results by the geometrical method of prime and ultimate ratios or by the analytical method of derived functions, we can use infinitesimals as a sure and convenient instrument...
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A Short History of Science

William Thompson Sedgwick, Harry Walter Tyler - Science - 1917 - 784 pages
...grasped the spirit of the infinitesimal method, and have verified the exactness of its results either by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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A Short History of Science

William Thompson Sedgwick, Harry Walter Tyler - Science - 1921 - 528 pages
...grasped the spirit of the infinitesimal method, and have verified the exactness of its results either by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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A Short History of Science

William Thompson Sedgwick, Harry Walter Tyler - Science - 1917 - 762 pages
...grasped the spirit of the infinitesimal method, and have verified the exactness of its results either by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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A Short Account of the History of Mathematics

Walter William Rouse Ball - Mathematics - 1919 - 551 pages
...grasped the spirit of the infinitesimal method, and have verified the exactness of its results either by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, we may employ infinitely small quantities as a sure and valuable...
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Annals of Mathematics

Electronic journals - 1924 - 410 pages
...When one has well comprehended the spirit of this system and has convinced himself of the exactitude of its results by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, one may employ the infinitely little as an instrument that...
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Annals of Mathematics

Electronic journals - 1924 - 416 pages
...When one has well comprehended the spirit of this system and has convinced himself of the exactitude of its results by the geometrical method of prime and ultimate ratios, or by the analytical method of derived functions, one may employ the infinitely little as an instrument that...
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