 | Thomas Leybourn - Mathematics - 1830 - 630 pages
...which vary as -=^ ; shew that the attraction of the whole surface an a particle without it, varies inversely as the square of the distance of the particle from the centre. ( Newt. Prop. 71.) 6. If a body oscillate in a medium in which the resistance varies as the... | |
 | Mathematics - 1836 - 366 pages
...of which vary as ^; shew that the attraction of the whole surface on a particle without it, varies inversely as the square of the distance of the particle from the centre. (Newton, Book I. Prop. 71.) 37. The elevation of the summit of the spheroid produced by the... | |
 | Henry Brougham Baron Brougham and Vaux - Natural theology - 1839 - 532 pages
...c/ r, taking the 2 itu« du fluxion with r as the vanable, is + ^ ; consequently the attraction is inversely as the square of the distance of the particle from the centre of the sphere, and is the same as if the whole sphere were in the centre.s The First Book of... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 488 pages
...the differential with r as the variable, 2 * ii1 du . . is + - 3 - ; consequently the attraction is inversely as the square of the distance of the particle from the centre of the sphere, and is the same as if the whole sphere were in the centre.* The First Book of... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...center, attracts a body exterior to it as if the matter of the sphere were collected at its center, and with a force varying inversely as the square of the distance of the body from the center, but a body or particle in the interior with a force varying directly as its... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 540 pages
...cient of dr, taking the differential with r as the variable, is + 5 ; consequently the attraction is inversely as the square of the distance of the particle from the centre of the sphere, and is the same as if the whole sphere were in the centre.* The First Book of... | |
 | Augustus William Smith - Mechanics, Analytic - 1855 - 340 pages
...center, attracts a body exterior to it as if the matter of the sphere were collected at its center, and with a force varying inversely as the square of the distance of the body from the center, but a body or particle in the interior with a force varying directly as its... | |
 | Augustus William Smith - Mechanics, Analytic - 1863 - 340 pages
...center, attracts a body exterior to it as if the matter of the sphere were collected at its center, and with a force varying inversely as the square of the distance of the body from the center, but a body or particle in the interior with a force varying directly as its... | |
 | Peter Guthrie Tait - 1865 - 394 pages
...body falling from a great height above the Earth's surface. For a sphere attracts an external particle with a force varying inversely as the square of the distance of the particle from its center, and therefore if x be the distance of a body from the Earth's center, R the Earth,s radius,... | |
 | Bartholomew Price - Calculus - 1868 - 710 pages
...attractive force of all the particles of the earth on a particle outside of it varies approximately inversely as the square of the distance of the particle from the earth's centre. Now of bodies which are the subject of investigation to us, and are near to the earth's... | |
| |
... varies inversely as the square of the distance of the particle from the centre. 
