 | Thomas Leybourn - 1830 - 630 σελίδες
...powers of a?. 4. In a common pump find the height through which the water ascends at any stroke. 5. A spherical surface being constituted of particles,...-=^ ; 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.... | |
 | Henry Brougham Baron Brougham and Vaux - 1839 - 532 σελίδες
...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 the Principia... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - 1855 - 488 σελίδες
...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 the Principia... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - 1855 - 540 σελίδες
...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 the Principia... | |
 | Bartholomew Price - 1868 - 710 σελίδες
...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... | |
 | Isaac Todhunter - 1873 - 520 σελίδες
...spherical shell attracts an external particle towards the centre of the shell, with a force which varies inversely as the square of the distance of the particle from the centre of the shell. Newton's demonstration is geometrical ; it can, however, be easily translated into an... | |
 | De Volson Wood - 1882 - 232 σελίδες
...for the entire shell we have 4 itSka fa pdp r Jo hence for a constant radius a, the attraction varies inversely as the square of the distance of the particle from the center of the shell, which was to be proved. If c = a, we have hence the attraction of a spherical... | |
 | Edward Albert Bowser - 1884 - 550 σελίδες
...distance must be taken into account. For a sphere attracts an external particle with a force which varies inversely as the square of the distance of the particle from the centre of the sphere (Art. 133a) ; therefore if R is the earth's radius, g the kinetic measure of gravity... | |
 | Sidney Luxton Loney - 1891 - 230 σελίδες
...sphere were collected at its centre, and hence that the acceleration caused by its attraction varies inversely as the square of the distance of the particle from the centre. Similarly the attraction on a particle inside the earth can be shewn to vary directly as its distance... | |
 | Forest Ray Moulton - 1902 - 412 σελίδες
...the exterior particle is, summing with respect to , a'Aa KM or, it varies directly as the mass and inversely as the square of the distance of the particle from the center. 71. The Attraction upon a Point in a Thin Homogeneous Spherical Shell. Let 0 be the center... | |
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... varies inversely as the square of the distance of the particle from the centre. 
