 | Thomas Curtis (of Grove house sch, Islington) - 438 pages
...finite t'ime converge continually to equality, and before that time approach nearer the one to the other than by any given difference, become ultimately equal. If you deny it; suppose them to be ultimately unequal, and let 1) be their ultimate difference. Therefore they cannot... | |
 | Encyclopedias and dictionaries - 1841 - 1040 pages
...equality during any finite time, and before the end of I hart time approach to each other within less than any given difference, become ultimately equal. If...ultimately unequal, and let their ultimate difference be D, then they cannot approach nearer to equality than quantities having a difference D : which is against... | |
 | 1841 - 524 pages
...equality during any finite time, and before the end of that time approach to each other within less than any given difference, become ultimately equal. If...ultimately unequal, and let their ultimate difference be D, then they cannot approach nearer to equality than quantities having a difference D: which is against... | |
 | Sir Isaac Newton - Curves, Plane - 1863 - 316 pages
...Quantities, and the ratios of quantities, which, in any finite time, tend constantly to equality, and which, before the end of that time, approach nearer to each other than by any assigned difference, become ultimately equal. If not, let them become ultimately unequal, and let their... | |
 | Edward Dingle - Creation - 1868 - 350 pages
...even in grace. of Newton's first lesson, " Quantities, and ratios of quantities, which in any finite time, tend continually to equality; and before the...by any given difference, become ultimately equal." They should have seen that the first law nature required as in interior command is inertia, as a resister... | |
 | Lawrence Sluter Benson - Ethics - 1874 - 182 pages
...however contended by some thinkers,.//?^ when certain quantities converge to equality in any finite time, and before the end of that time approach nearer to each other than by any assignable difference, they luiljrtiltimatcly become equal. This is, in substance, the TWELFTH AXIOM... | |
 | Catherinus Putnam Buckingham - Calculus - 1875 - 374 pages
...first book of the Principia. " Quantities and ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer the one to the other than by any given difference, become ultimately equal." The principle here stated... | |
 | Kansas Academy of Science - Science - 1890 - 206 pages
...discoverers of the Calculus, that "quantities, and ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer the one to the other than by any difference, become ultimately equal,'1 we know that dropping the higher... | |
 | H. G. Rush - Orbits - 1887 - 156 pages
..."Quantities, and the ratios of quantities, which, in any finite time, tend constantly to equality, and 'which, before the end of that time, approach nearer to each other than by any assigned difference, become ultimately equal. The quantities of which Newton asserts equality are not... | |
 | Kansas Academy of Science. Meeting - Science - 1890 - 222 pages
...discoverers of the Calculus, that "quantities, and ratios of quantities, which in any finite time converge continually to equality, and before the end of that time approach nearer the one to the other than by any difference, become ultimately equal,'' we know that dropping the higher... | |
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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. 
