Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة 12
... evidently becomes a=?-B, i.e. V'=_l71 Moreover it is clear, that none of the differential coefficients of V' = can be infinite when p is exterior to the surface A, and when p is at an infinite distance from A, V' is equal to zero. These ...
... evidently becomes a=?-B, i.e. V'=_l71 Moreover it is clear, that none of the differential coefficients of V' = can be infinite when p is exterior to the surface A, and when p is at an infinite distance from A, V' is equal to zero. These ...
الصفحة 18
... evidently be precisely equal to its coercive force f, and in equilibrium with it. Supposing therefore this force to be the same for every element, it is clear that the degree of magnetism retained by the wire in a state of saturation ...
... evidently be precisely equal to its coercive force f, and in equilibrium with it. Supposing therefore this force to be the same for every element, it is clear that the degree of magnetism retained by the wire in a state of saturation ...
الصفحة 20
... evidently becomes equal to zero when substituted for V in 8 V, we have therefore only to determine the value of B V for the small sphere itself, which value is known to be ' 8 (21ra'p - §rrh'p ; p being equal to the density within the ...
... evidently becomes equal to zero when substituted for V in 8 V, we have therefore only to determine the value of B V for the small sphere itself, which value is known to be ' 8 (21ra'p - §rrh'p ; p being equal to the density within the ...
الصفحة 21
... evidently vanishes when a=0= we need therefore have regard only to the part due to the mass exterior to the sphere, and this is evidently equal to But as the first difi'erentials of this quantity are the same as those of then a is made ...
... evidently vanishes when a=0= we need therefore have regard only to the part due to the mass exterior to the sphere, and this is evidently equal to But as the first difi'erentials of this quantity are the same as those of then a is made ...
الصفحة 22
... evidently be a function of the co-ordinates of the particle 19 under consideration. ) ; the function Vrepresenting the sum of all the electric (2.) It has been long knoWn from experience, that whenever the electric fluid is in a state ...
... evidently be a function of the co-ordinates of the particle 19 under consideration. ) ; the function Vrepresenting the sum of all the electric (2.) It has been long knoWn from experience, that whenever the electric fluid is in a state ...
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