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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... "
Elementary algebra, with brief notices of its history - الصفحة 11
بواسطة Robert Potts - 1879
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The Mathematical Principles of Natural Philosophy, المجلد 1

Isaac Newton - 1729 - عدد الصفحات: 444
...neither before it arrives at its lad place and the motion ceafes, nor after, but at the very in/tant it arrives ; that is, that velocity with which the body arrives at its laft place, and with which the motion ceifes. And in like manner, by the ultimate ratio of evancfccnt...

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

John Mason Good - 1819 - عدد الصفحات: 788
...moved, neither before it arrives at iu 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...

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

1816 - عدد الصفحات: 778
...moved, neither before it arrives at its place and the motion ceafes, nor after, but at the very inftant it arrives ; that is, that velocity with which the body arrives at its laft place, and with which the motion ceafes. And in like manner, by the ultimate ratio of evanefcent...

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

Thomas Curtis (of Grove house sch, Islington) - عدد الصفحات: 438
...ceases, nor after, but at the very instant it arrives ; that is, that velocity with which the body an ves at its last place, and with which the motion ceases....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...

Penny Cyclopaedia of the Society for the Diffusion of Useful ..., المجلدات 19-20

1841 - عدد الصفحات: 1040
...last position, and with which the motion ceases. And similarly, by the ultimate ratio of vanishing quantities, is to be understood the ratio of the quantities not before they vanish, nor after they vanish, but with which they vanish. Similarly the prime ratio of nascent quantities is the...

An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1849 - عدد الصفحات: 588
...moment when it reaches it; that is, the velocity with which the body reaches its ultimate position, and with which the motion ceases. And in like manner...ratio of the quantities, not before they vanish, nor after they have vanished, but when they vanish. So also the prime ratio of nascent quantities is the...

Newton's Principia: Sections I. II. III.

Sir Isaac Newton - 1863 - عدد الصفحات: 316
...last position, and with which the motion ceases. And similarly, by the ultimate ratio of vanishing quantities is to be understood the ratio of the quantities, not before they vanish, nor after, but with which they vanish. Likewise also, the prime ratio of nascent quantities is the ratio...

Elements of the Differential and Integral Calculus: By a New Method, Founded ...

Catherinus Putnam Buckingham - 1875 - عدد الصفحات: 374
...motion ceases, nor after, but at the' very instant it arrives : that is, the velocity with which it arrives at its last place, and with which the motion...quantities, not before they vanish nor afterwards, but with which they vanish." The illustration here given by Newton unfortunately throws no additional light...

Elements of the Differential and Integral Calculus: By a New Method, Founded ...

Catherinus Putnam Buckingham - 1875 - عدد الصفحات: 362
...motion ceases, nor after, but at the very instant it arrives : that is, the velocity with which it arriv.es at its last place, and with which the motion...quantities, not before they vanish nor afterwards, but with which they vanish." no easier to conceive a body coming to a stop with any velocity, than it is...

Catholic World, المجلد 22

1876 - عدد الصفحات: 1088
...its last place and the motion ceases, nor after, but at the very instant it arrives ; that is, the velocity with which the body arrives at its last place,...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...




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