 | Rev. John Allen - 1822 - 508 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... | |
 | Isaac Newton - 1826 - 208 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^... | |
 | Harvey Goodwin - 1849 - 588 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... | |
 | Albert Taylor Bledsoe - 1886 - 253 דפים
...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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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. 