| Colin Macfarquhar, George Gleig - Encyclopedias and dictionaries - 1797
...fu m is that with which they гч-oin and с eafe to be (or to be augmented and diminiihed). Tin re **is a limit which the velocity at the end of the motion may attain, but not exceed** ; and this is the ultimate velocity. And there is the like limit in all quantities and proportions... | |
| Sir Isaac Newton - Celestial mechanics - 1803 - 326 pages
...firft or laft fum is that with which they begin and ceafe to be (or to be augmented or diminifhed). **There is a limit which the velocity at the end of...not exceed. This is the ultimate velocity. And there** ia the like limit in all quantities and proportions that begin and ceafe to be. And fmce fuch limits... | |
| John Mason Good - 1819 - 790 pages
...understood the ratio of the quantities, not before they vanish, nor afterwards, but with which they **vanish. In like manner, the first ratio of nascent quantities is that with which they** benn to be. And the first or last sum is that with which they begin and cea«e to be (or to be augmented... | |
| Encyclopedias and dictionaries - 1816
...firft or laft fum is that with which they begin and ceafe to be (or to be augmented and climinilhed). **There is a limit which the velocity at the end of the motion may attain, but not exceed** ; and this is the ultimate velocity. And there is the like limit in all quantities and proportions... | |
| Thomas Curtis (of Grove house sch, Islington) - 438 pages
...understood the ratio of the quantities, not before they vanish, nor afterwards, but with which they **vanish. In like manner, the first ratio of nascent...quantities is that with which they begin to be. And the** tirst or last sum is that with which they begin and cease to be (or to be augmented and diminished).... | |
| 1876 - 1060 pages
...understood the ratio of the quantities, not before they vanish, not afterwards, but with which they **vanish. In like manner, the first ratio of nascent quantities is that with which they begin to be."** From this answer, which is so clear and so deep, it is manifest that infinitesimals are real quantities.... | |
| 1876 - 1060 pages
...understood the ratio of the quantities, not before they vanish, not afterwards, but with which they **vanish. In like manner, the first ratio of nascent quantities is that with which they begin to be."** From this answer, which is so clear and so deep, it is manifest that infinitesimals are real quantities.... | |
| Robert Potts - Algebra - 1879 - 668 pages
...neither before it arrives at its last place and the motion ceases, nor after, but at the very instant **it arrives ; that is, that velocity with which the...end of the motion may attain, but not exceed. This** ie the ultimate velocity. And there is the like limit in all quantities and proportions that begin... | |
| Albert Taylor Bledsoe - Mathematics - 1886 - 253 pages
...understood the ratio of the quantities not before they vanish, nor afterwards, but with which they **vanish. In like manner the first ratio of nascent...the first or last sum is that with which they begin** or cease to be (or to be augmented or diminished). There is a limit which the velocity at the end of... | |
| Florian Cajori - Calculus - 1919 - 284 pages
...understood the ratio of the quantities, not before they vanish, nor after, but that with which they **vanish./ In like manner, the first ratio of nascent...velocity at the end of the motion may attain, but** cannot exceed. This is the ultimate velocity. And there is a like limit in all quantities and proportions... | |
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