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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... "
Elementary algebra, with brief notices of its history - الصفحة 11
بواسطة Robert Potts - 1879
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Encyclopædia Britannica: Or, A Dictionary of Arts ..., المجلد 13،الجزء 1

Colin Macfarquhar, George Gleig - 1797 - عدد الصفحات: 450
...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...

The Mathematical Principles of Natural Philosophy, المجلد 1،العدد 1

Isaac Newton - 1803 - عدد الصفحات: 310
...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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 8

John Mason Good - 1819 - عدد الصفحات: 788
...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...

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., المجلد 16

1816 - عدد الصفحات: 778
...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...

The London encyclopaedia, or, Universal dictionary of ..., الجزء 2،المجلد 15

Thomas Curtis (of Grove house sch, Islington) - عدد الصفحات: 438
...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)....

Catholic World, المجلد 22

1876 - عدد الصفحات: 1088
...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....

Catholic World, المجلد 22

1876 - عدد الصفحات: 1088
...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....

Elementary algebra: with brief notices of its history

Robert Potts - 1879 - عدد الصفحات: 672
...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...

The Philosophy of Mathematics: With Special Reference to the Elements of ...

Albert Taylor Bledsoe - 1886 - عدد الصفحات: 253
...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...

A History of the Conceptions of Limits and Fluxions in Great Britain, from ...

Florian Cajori - 1919 - عدد الصفحات: 294
...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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