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" Shew that the sum of the products of each body into the square of its velocity is a minimum, when the velocities are reciprocally proportional to the quantities of matter in the bodies. "
Cambridge Problems: Being a Collection of the Printed Questions Proposed to ... - Page 304
1821 - 425 pages
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Monthly Review; Or Literary Journal Enlarged

Ralph Griffiths, George Edward Griffiths - 1806 - 582 pages
...remarkable condttions bslonging to such quantities as m V 1 , &c. In the tmpact of elastic bodies, the sum of the products of each body into the square of its velocity is constant, or m V 1 + m'V1 +• mfV" 1 -\- &c. = a. In machines which change their motions by insensible...
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The Monthly review. New and improved ser, Volume 50

1806 - 614 pages
...remarkable confluions •bílcni^n^ to such quantities as -m F-*, ôcc. In the impact of .elastic bodies, the sum of the products of each body' into 'the square of ils velocity is constant, or m If* -\- т'Уг -f»/;"F"*+ £c. '= л. In rrnchiries which change their...
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The Monthly review. New and improved ser, Volume 52

1807 - 574 pages
...theorems relative to the centre of gravity •, i'n which the distan« of the centre is determined by the sum of the products of each body into the square of its distance from any point. The first theorem of this kind was proposed liy La Grenge in the Berlin Memoirs...
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Monthly Review; Or Literary Journal Enlarged

Ralph Griffiths, George Edward Griffiths - 1807 - 574 pages
...theorems relative to the centre of gravity •, in which the distance of the centre is determined by the sum of the products of each body into the square of its distance from any pdint. The first theorem of this kind was proposed by La Grange in the Berlin Memoirs...
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Outlines of Natural Philosophy: Being Heads of Lectures Delivered ..., Volume 1

John Playfair - Astronomy - 1812 - 344 pages
...distance of the centre of oscillation of a compound pendulum, from its centre of suspension, is equal to the sum of the products of each body into the square of its distance from the centre of suspension, divided by the sum of the products of each body into the simple...
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The Quarterly Review, Volume 8

William Gifford, Sir John Taylor Coleridge, John Gibson Lockhart, Whitwell Elwin, William Macpherson, William Smith, Sir John Murray IV, Rowland Edmund Prothero (Baron Ernle) - English literature - 1813 - 540 pages
...increasing series the sum of ail the motions in the direction of the first mover continues = A a. Also the sum of the products of each body, into the square of its velocity, alter collision, remains as it was before, equal to A a*.' Altogether, we think the section on the...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...— 0 into one which shall have its signs alternately positive and negative. 6. Two bodies A and В move in opposite directions with Velocities, the sum...radius produced, and from the points of intersection ordinales be erected, always equal to the cosine of the >irc measured from the opposite extremity of...
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New Series of The Mathematical Repository, Volume 4

Thomas Leybourn - Mathematics - 1819 - 430 pages
...digits respectively. 3. In the direct impact of perfectly hard bodies, the difference between the sums of the products of each body into the square of its velocity before and after impact, is equal to the sum ot the product of each body into the square of the velocity...
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The Literary and Scientific Repository, and Critical Review, Volume 4

1822 - 520 pages
...the last, the sum of all the motions in the direction of the first motion, is never greater than An. The sum of the products of each body into the square of its velocity also remains the same as it was before, namely Aa 7 . PI.AYFAIR, § 77. If the bodies be not perfectly...
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Outlines of Natural Philosophy: Being the Heads of a Course of ..., Volumes 1-2

James Renwick - Physics - 1822 - 476 pages
...oscillation of a pendulum composed of everal bodies from its point of suspension may be found by dividing the sum of the products of each body into the Square of its distance from its point of suspension, by the sum of the products of each body into its distance from...
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