| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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