Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة 4
... sphere , and on those of ellip- soids , from 1771 , the date of CAVENDISH's paper , until about 1812 , when M ... spheres , previously electrified and put in presence of each other . It would be quite there employed . The object of this ...
... sphere , and on those of ellip- soids , from 1771 , the date of CAVENDISH's paper , until about 1812 , when M ... spheres , previously electrified and put in presence of each other . It would be quite there employed . The object of this ...
الصفحة 5
... spherical surface , the author deduces the values of these functions belonging to each of the two spheres under con- sideration , and thence the general expression of the electric density on the surface of either , together with their ...
... spherical surface , the author deduces the values of these functions belonging to each of the two spheres under con- sideration , and thence the general expression of the electric density on the surface of either , together with their ...
الصفحة 14
... sphere , by the radius of that sphere , and again by the shortest distance of its surface from the centre of the other sphere , will be the same for both . Hence when their distance is very great , the densities are in the inverse ratio ...
... sphere , by the radius of that sphere , and again by the shortest distance of its surface from the centre of the other sphere , will be the same for both . Hence when their distance is very great , the densities are in the inverse ratio ...
الصفحة 15
... spherical conducting shell , having a small circular orifice , and have found that its density is very nearly constant on ... sphere were twelve inches , and that of the orifice one inch , the density at the point on the inner surface ...
... spherical conducting shell , having a small circular orifice , and have found that its density is very nearly constant on ... sphere were twelve inches , and that of the orifice one inch , the density at the point on the inner surface ...
الصفحة 17
... spherical shell of con- stant thickness , the analysis used by LAPLACE ( Méc . Cél . Liv . 3 ) is applicable , and the problem capable of a complete solution , whatever may be the situation of the centres of the magnetic forces acting ...
... spherical shell of con- stant thickness , the analysis used by LAPLACE ( Méc . Cél . Liv . 3 ) is applicable , and the problem capable of a complete solution , whatever may be the situation of the centres of the magnetic forces acting ...
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angle angle of incidence ax+by+ct axes axis becomes belonging centre coefficients conducting bodies consequently constant quantity corresponding density determine direction distance dv dw dx dx dx dy dz dx dz dx² dy dx dy dy dz dx electric fluid element ellipsoid entire function equal to zero equilibrium evidently exact differential expression exterior finite formula give given Hence induced integral extending interior luminiferous ether magnetic medium Moreover motion obtain partial differential equation particles perfect conductor perpendicular plane preceding quantity of electricity radius rational and entire rectangular co-ordinates refracted wave represent shell sphere spherical substituted suppose surface of junction term theory tion total potential function tricity V₁ variable velocity vibrations wave's front wire µ² µ³ аф