Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة 10
... rectangular co~ordinates, and tending to increase them. Then p representing the density of the electricity on an element do- of the surface, and r the distance between do and 11, any other point of the surface, the equation for ...
... rectangular co~ordinates, and tending to increase them. Then p representing the density of the electricity on an element do- of the surface, and r the distance between do and 11, any other point of the surface, the equation for ...
الصفحة 11
... rectangular co-ordinates of p; these functions, as is well known, having the property of satisfying the partial difi'erential equations 0 = 41' +113 + :12 da' dy' dz“ ' d'V' d'V' d'V' “semifinaIf now we could obtain the values of Vand I ...
... rectangular co-ordinates of p; these functions, as is well known, having the property of satisfying the partial difi'erential equations 0 = 41' +113 + :12 da' dy' dz“ ' d'V' d'V' d'V' “semifinaIf now we could obtain the values of Vand I ...
الصفحة 19
... rectangular co-ordinates of a particle of this_body, p' the density of the electricity in this particle, so that dz'dy'dz' being the volume of the particle, p'dz'dy'dz' shall be the quantity of electricity it contains: moreover, let 1 ...
... rectangular co-ordinates of a particle of this_body, p' the density of the electricity in this particle, so that dz'dy'dz' being the volume of the particle, p'dz'dy'dz' shall be the quantity of electricity it contains: moreover, let 1 ...
الصفحة 22
... rectangular co-ordinates of any particle 19 in the interior. of. one. of. the. bodies;. then. will. -. (g). be. the. force. with. which. 1:; is impelled in the direction of the co-ordinate z, and tending to increase it. In the same way— ...
... rectangular co-ordinates of any particle 19 in the interior. of. one. of. the. bodies;. then. will. -. (g). be. the. force. with. which. 1:; is impelled in the direction of the co-ordinate z, and tending to increase it. In the same way— ...
الصفحة 39
... rectangular co-ordinates z, y, z: then if p be the density at the surface of the body, we shall have. V.=fd_m_d-:'_i'_£+fd_¥;. 1" being the distance between the point 12' whose co-ordinates are 27', y', z', and that whose co-ordinates are ...
... rectangular co-ordinates z, y, z: then if p be the density at the surface of the body, we shall have. V.=fd_m_d-:'_i'_£+fd_¥;. 1" being the distance between the point 12' whose co-ordinates are 27', y', z', and that whose co-ordinates are ...
المحتوى
6 | |
19 | |
42 | |
netism Mathematical Investigations concerning the Imw of the Equi | 83 |
othersimilarresearches On the Determination of the Exterior and Interior Attractions 117 | 117 |
of Ellipsoids of Variable Densities On the Motion of Waves in a variable canal of small depth | 185 |
and width On the Reflexion and Refraction of Sound 223 | 223 |
On the Laws of the Reflexion and Refraction of Light at | 245 |
Note on the Motion of Waves in Canals | 273 |
Supplement to a Memoir on the Reflexion and Refraction | 281 |
On the Propagation of Light in crystallized Media | 291 |
Researches on the Vibration of Pendulums in Fluid Media | 315 |
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angle of incidence applicable axes axis becomes belonging centre coefficients coeflicients coercive force conceive condition conducting bodies conductor consequently constant quantity contained corresponding density determine difi'erent difi'erential direction distance electric fluid electrified element ellipsoid entire function equal to zero equilibrium evidently expression find finite integrals first place fixed formula give given Hence homogeneous function induced infinitely small influence inner sphere integral extending interior luminiferous ether magnetic medium method Moreover motion neglecting obtain parallel partial differential equation perfect conductors perpendicular plane plane wave polar co-ordinates positive potential function arising preceding propagation quantity of electricity radius rational and entire rectangular co-ordinates reflected wave refracted wave represent satisfied shell sphere substituted suppose surface of junction term theory tion total potential function tricity triple integrals vanish variable velocity vibrations whole wire