 | Olinthus Gregory - 1815 - 582 páginas
...described. This is occasioned by the constant action of the moving force ; and since the velocity of A at any instant is measured by the space which would be described by it, moving uniformly for a given time with the velocity it had acquired at that instant, this measure... | |
 | 1825 - 490 páginas
...described. This is occasioned by the constant action of the moving force; and since the velocity of A at any instant is measured by the space which would be described by it moving uniformly for a given time with the velocity it had acquired at that instant, this measure... | |
 | Benjamin Pike - 1848 - 356 páginas
...described ; this is occasioned by the constant action of the moving force; and since the velocity of A, at any instant, is measured by the space which would be described by it moving uniformly for a given time, with the velocity it had acquired at that instant, this measure... | |
 | Benjamin Pike (Jr.) - 1848 - 482 páginas
...described ; this is occasioned by the constant action of the moving force ; and since the velocity of A. at any instant, is measured by the space which would be described by it moving uniformly for a given time, with the velocity it had acquired at that instant, this measure... | |
 | Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 páginas
...velocity of a body, if uniform, is measured by the space which the body passes over in an unit of time ; if variable, the velocity at any instant is measured by the space which would be passed over in a unit of time, if the body moved during that unit of time with the velocity which it... | |
 | W. G. Willson - 1874 - 294 páginas
...moving uniformly at the same rate which the first has at the instant under consideration. Or thus — The velocity at any instant is measured by the space which would be passed over in a unit of time, supposing the rate of motion to continue uniform and the same as at... | |
 | R.S. McCULLOCH - 1876 - 324 páginas
...in which every motion may be expressed by the general equation s =/(*) = a + tt + cP + etc. (2) As the velocity at any instant is measured by the space which would be passed over in the next succeeding unit of time if that velocity were to remain constant, we have always... | |
 | Joseph Edwards - 1886 - 540 páginas
...notation for CtiJC those of v, w, etc. 42. Aspect of the Differential Coefficient as a Bate-Measurer. When a particle is in motion in a given manner the...time t with varying velocity, and an additional space Ss to be described in the additional time St. Let vl and v2 be the greatest and least values of the... | |
 | Joseph Edwards - 1896 - 288 páginas
...-£• in the following cases : 1. y=ix. 2. y=2+x. 3. y= ED c. OUI . '- _ _ _ =—— . 15. у=Л 23. Aspect of the Differential Coefficient as a Rate-Measurer....time t with varying velocity, and an additional space Ss to be described in the additional time Si. Let vt and v.2 be the greatest and least values of the... | |
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When a particle is in motion in a given manner the space described is a function of the time of describing it. We may consider the time as an independent variable, and the space described in that time as the dependent variable. The rate of change of position... 