Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة 14
... centre of the other sphere, will be the same for both. Hence when their distance is very great, the densities are in the inverse ratio of the radii of the spheres. When any hollow conducting shell is charged with elec— tricity, 14 ...
... centre of the other sphere, will be the same for both. Hence when their distance is very great, the densities are in the inverse ratio of the radii of the spheres. When any hollow conducting shell is charged with elec— tricity, 14 ...
الصفحة 15
... centre of the orifice; exceptingas before these pointsin its immediate vicinity. Hence, if the diameter of the sphere were twelve inches, and that of the crifice one inch, the density at the point on the inner surface opposite the centre ...
... centre of the orifice; exceptingas before these pointsin its immediate vicinity. Hence, if the diameter of the sphere were twelve inches, and that of the crifice one inch, the density at the point on the inner surface opposite the centre ...
الصفحة 17
... centres of the magnetic forces acting upon it. After having given the general solution, we have supposed the radius of the shell to become infinite, its thickness remaining unchanged; and have thence deduced formula: belonging to 2 m ...
... centres of the magnetic forces acting upon it. After having given the general solution, we have supposed the radius of the shell to become infinite, its thickness remaining unchanged; and have thence deduced formula: belonging to 2 m ...
الصفحة 18
... centres of the magnetic forces are situate on opposite sides of a soft iron plate of great extent, the total action on p will have the same direction as the resultant of all the forces, which would be exerted on the points p, p', p",p ...
... centres of the magnetic forces are situate on opposite sides of a soft iron plate of great extent, the total action on p will have the same direction as the resultant of all the forces, which would be exerted on the points p, p', p",p ...
الصفحة 20
... centre, a and 5 being exceedingly small quantities. Then, the value of V may be considered as composed of two parts, one due to the sphere itself, the other due to the whole mess exterior to it: but the last part evidently becomes equal ...
... centre, a and 5 being exceedingly small quantities. Then, the value of V may be considered as composed of two parts, one due to the sphere itself, the other due to the whole mess exterior to it: but the last part evidently becomes equal ...
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