Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة 19
... fixed there, and let m', y', 2', be the 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 ...
... fixed there, and let m', y', 2', be the 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 ...
الصفحة 37
... fixed. Where V is a function of :c', y', z', and E, 1;, L', the co-ordinates of do, whereas (p) is a function of as, y, s, E, 1], t', independent of :s', 3/, 2'; hence by the second equation. ham-[warn. which could not hold generally ...
... fixed. Where V is a function of :c', y', z', and E, 1;, L', the co-ordinates of do, whereas (p) is a function of as, y, s, E, 1], t', independent of :s', 3/, 2'; hence by the second equation. ham-[warn. which could not hold generally ...
الصفحة 70
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الصفحة 71
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الصفحة 75
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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