Mathematical Papers of the Late George GreenMacmillan, 1871 - 336 من الصفحات |
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الصفحة 19
... fixed there , and let x ' , y ' , z ' , be the rectangular co - ordinates of a particle of this body , p ' the density of the electricity in this particle , so that da'dy'dz ' being the volume of the particle , p'dx'dy'dz ' shall be the ...
... fixed there , and let x ' , y ' , z ' , be the rectangular co - ordinates of a particle of this body , p ' the density of the electricity in this particle , so that da'dy'dz ' being the volume of the particle , p'dx'dy'dz ' shall be the ...
الصفحة 37
... fixed . Where is a function of x ' , y , z ' , and § , n , s , the co - ordinates of do , whereas ( p ) is a function of x , y , z , § , n , 5 , independent of x ' , y ' , z ' ; hence by the second equation Ꮴ 0 = & V = - [ ( p ) do 8 V ...
... fixed . Where is a function of x ' , y , z ' , and § , n , s , the co - ordinates of do , whereas ( p ) is a function of x , y , z , § , n , 5 , independent of x ' , y ' , z ' ; hence by the second equation Ꮴ 0 = & V = - [ ( p ) do 8 V ...
الصفحة 70
... fixed in space , the body being originally in a natural state . Let ẞ designate the coercive force of the body , which we will suppose analogous to friction in its operation , so that as long as the total force acting upon any particle ...
... fixed in space , the body being originally in a natural state . Let ẞ designate the coercive force of the body , which we will suppose analogous to friction in its operation , so that as long as the total force acting upon any particle ...
الصفحة 71
... fixed , and then be permitted to move , until it is in equilibrium with the coercive force . Now the value of the potential function at p , arising from the body itself , after having moved through the angle dw ( the electricity being fixed ) ...
... fixed , and then be permitted to move , until it is in equilibrium with the coercive force . Now the value of the potential function at p , arising from the body itself , after having moved through the angle dw ( the electricity being fixed ) ...
الصفحة 75
... fixed in space , under the influence of electric forces which vary according to any given law ; then we might propose to determine the elec- trical state of the body , after a certain interval of time , from the knowledge of its initial ...
... fixed in space , under the influence of electric forces which vary according to any given law ; then we might propose to determine the elec- trical state of the body , after a certain interval of time , from the knowledge of its initial ...
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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