Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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George Green. ing the propagation of transversal vibrations through the luminiferous ether, it becomes necessary to investigate the equations of motion of an elastic solid. It is here that Green for the first time enunciates the ...
George Green. ing the propagation of transversal vibrations through the luminiferous ether, it becomes necessary to investigate the equations of motion of an elastic solid. It is here that Green for the first time enunciates the ...
الصفحة 11
... become infinite when p is situate any where within the surface A, and it is worthy of remark, that this is precisely the condition required: for, as will be afterwards shown, when it is satisfied we shall have generally thwart? the ...
... become infinite when p is situate any where within the surface A, and it is worthy of remark, that this is precisely the condition required: for, as will be afterwards shown, when it is satisfied we shall have generally thwart? the ...
الصفحة 12
... becomes equal to the known value of V at the surface, and is moreover such that none of its differential coeflicients shall be infinite when p is within A. In like manner, in order to find V', We shall obtain V', its value at A,-by ...
... becomes equal to the known value of V at the surface, and is moreover such that none of its differential coeflicients shall be infinite when p is within A. In like manner, in order to find V', We shall obtain V', its value at A,-by ...
الصفحة 20
... 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 sphere and ...
... 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 sphere and ...
الصفحة 25
... becomes so - ~fdev-JG-jdwdydz VSU. Since the value of the integral just given remains unchanged when we substitute 7' in the place of U and. where V and 3—}: represent the values at the surface of the body. troduced because a? and I; are ...
... becomes so - ~fdev-JG-jdwdydz VSU. Since the value of the integral just given remains unchanged when we substitute 7' in the place of U and. where V and 3—}: represent the values at the surface of the body. troduced because a? and I; 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