 | Ralph Griffiths, George Edward Griffiths - 1806 - عدد الصفحات: 582
...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 - عدد الصفحات: 614
...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 - عدد الصفحات: 574
...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 - عدد الصفحات: 572
...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 - 1812 - عدد الصفحات: 344
...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) - 1813 - عدد الصفحات: 540
...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 - 1819 - عدد الصفحات: 430
...— 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 - 1819 - عدد الصفحات: 430
...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 - عدد الصفحات: 520
...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 - 1822 - عدد الصفحات: 476
...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... | |
| |
A and ~B move in opposite directions with velocities, the sum of which is given. 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... 
