 | Reuben Hersh - Mathematics - 1997 - 372 pages
...at its last place, when the motion ceases, nor after, but at the very instant when it arrives. . . . And in like manner, by the ultimate ratio of evanescent...ratio of the quantities, not before they vanish, nor after, but that with which they vanish." This gives us a physical intuition of ultimate velocity. But... | |
 | I. Grattan-Guinness - Mathematics - 2003 - 872 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...quantities not before they vanish, nor afterwards, but with which they vanish. (Newton 1687: Book I, Section 1, Scholium) 2 LEIBNIZ'S APPROACH Around 1675... | |
 | Mary Tiles - Mathematics - 2004 - 276 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...ratio of evanescent quantities is to be understood that ratio not before they vanish, nor afterwards, but with which they vanish. . . . There is a limit... | |
 | Lucio Russo, Silvio (translator) Levy - Science - 2003 - 516 pages
...vanished, is not the ultimate, and when they are vanished, is none — But the answer is easy; ... by the ultimate ratio of evanescent quantities is...quantities not before they vanish, nor afterwards, but with which they vanish.181 Newton conceives "evanescent" quantities as real objects, which vary in... | |
 | John Lane Bell - Mathematics - 2005 - 354 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...with which the motion ceases. And in like manner, the by the ultimate ratio of evanescent quantities is to be understood the ratio of the quantities... | |
 | Giovanni Ferraro - Mathematics - 2007 - 392 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...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... | |
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But the answer is easy; for by the ultimate velocity is meant that with which the body is moved, 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 body... 
