 | 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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... instant it arrives ; that is, that velocity with which the body arrives at its last place, and with which the motion ceases. " And in like manner, by the ultimate ratio of evanescent quantities... 
