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" WHEN THEIR BREADTHS ARE DIMINISHED IN INFINITUM, THE ULTIMATE RATIOS OF THE PARALLELOGRAMS IN ONE FIGURE TO THOSE IN THE OTHER, EACH TO EACH RESPECTIVELY, ARE THE SAME; I SAY, THAT THOSE TWO FIGURES AacE, PprT, ARE TO ONE ANOTHER IN THAT SAME RATIO. "
The Three First Sections and Part of the Seventh Section of Newton's ... - עמוד 40
מאת Sir Isaac Newton - 1850 - 163 דפים
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 דפים
...parallelograms, an equal number in each figure, and, when their breadths are diminished in infinitum, the ultimate ratios of the parallelograms in one figure to those in the other, each to each, be the same ; these two figures are to each other, in the same ratio. » Co?\ Hence if two quantities...
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The First Three Sections of Newton's Principia: With Copious Notes and ...

Isaac Newton - 1826 - 183 דפים
...parallelograms, an equal number in each; and, their breadths being diminished indefinitely, if tlte ultimate ratios of the parallelograms in one figure...T, are to each other in that same ratio. — (Fig. 2.) For, as the parallelograms in one are severally to the parallelograms in the other ; so, by composition^...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - 528 דפים
...if when the breadths of the parallelograms are diminished and their number increased indefinitely, the ultimate ratios of the parallelograms in one figure to those in the other each to each are all the same; then are the figures AacE, PprT in that same ratio. For as the parallelograms are...
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THE PHILOSOPHY OF MATHEMATICS WITH SPECIAL REFERENCE TO THE ELEMENTS OF ...

ALBERT TAYLOR BLEDSOE, A.M., LL.D. - 1886
...rank, and when their breadths are diminished in infinitum, the ultimate ratios of the parallel ograms in one figure to those in the other, each to each respectively, are the same ; I say, that these two figures A ac E, T?pr T, are to one another in that same ratio. " For as the parallelograms...
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