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" Variable Velocities. 15. If the velocity of a point be not uniform, its numerical measure at any instant is the number of units of space which would be described in a unit of time, were the velocity to remain constant from and after the given instant. "
The Elements of the Differential Calculus: Founded on the Method of Rates Or ... - Page 3
by John Minot Rice, William Woolsey Johnson - 1874
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A Treatise on Elementary Dynamics

William Garnett - 1875 - 332 pages
...length passed over by the point in the unit of time, if the velocity be uniform ; but, if variable, its numerical measure at any instant is the number of units of length which would be passed over by the point in the unit of time, if its velocity remained constant...
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An Elementary Treatise on the Differential Calculus Founded on the Method of ...

John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 464 pages
...quantity having a uniform rate, and the coefficient k is a measure of this rate. Variable Velocities. 15. If the velocity of a point be not uniform, its numerical...instant a velocity of 32 feet per second, we mean that should the body continue to move during the whole of the next second, with the same velocity which...
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An Elementary Treatise on the Differential Calculus Founded on the Method of ...

John Minot Rice, William Woolsey Johnson - Differential calculus - 1880 - 486 pages
...the coefficient k is a measure of this rate. § П.] VARIABLE VELOCITIES. It Variable Velocities. 15. If the velocity of a point be not uniform, its numerical measure at any instant is tke number of units of space wliick •would be described in a unit of time, were tlie •velocity...
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An Elementary Treatise on the Differential Calculus Founded on the Method of ...

John Minot Rice, William Woolsey Johnson - Differential calculus - 1888 - 500 pages
...the coefficient k is a measure of this rate. § II.] VARIABLE VELOCITIES. 1I Variable Velocities. 15. If the velocity of a point be not uniform, its numerical...instant a velocity of 32 feet per second, we mean that should the body continue to move during the whole of the next second, with the same velocity which...
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An Elementary Treatise on the Differential Calculus Founded on ..., Volume 25

John Minot Rice, William Woolsey Johnson - Mathematics - 1888 - 222 pages
...quantity having a uniform rate, and the coefficient k is a measure of this rate. Variable Velocities. 15. If the velocity of a point be not uniform, its numerical...any instant is the number of units of space which 'Mould be described in a unit of time, were the velocity to remain constant from and after the given...
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Theoretical Mechanics: An Elementary Treatise

William Woolsey Johnson - Mechanics - 1901 - 484 pages
...time. But at any given instant of time the speed has a definite value of which the numerical measure is the number of units of space which would be described in a * Separate names for units of velocity have been proposed, but have not been generally accepted. It...
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An Elementary Treatise on the Differential Calculus: Founded on the Method ...

William Woolsey Johnson - Calculus, Integral - 1904 - 448 pages
...coefficient of t, when x is expressed in the form (i), is the measure of this rate. Variable Velocities. 20. If the velocity of a point be not uniform, its numerical...instant is the number of units of space •which would have been described in a unit of time, if the velocity had remained constant from and after tht given...
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Educational Review, Volume 6

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - Education - 1893 - 554 pages
...definition : for example, I read in at least one reputable work that "the numerical measure of the velocity at any instant is the number of units of space which...remain constant from and after the given instant." But this is defining the word by the word itself; a conception of "the velocity from and after the...
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Educational Review, Volume 6

Education - 1893 - 562 pages
...definition : for example, I read in at least one reputable work that "the numerical measure of the velocity at any instant is the number of units of space which...remain constant from and after the given instant." But this is defining the word by the word itself; a conception of "the velocity from and after the...
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