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angle of incidence applicable axis becomes belonging centre coefficients coercive force conceive condition conducting bodies conductor consequently consider constant quantity contained corresponding density determine direction distance dx dx dx dy dx dy dx dy dy dz dz dx Edward Ffrench Bromhead electric fluid ellipsoid entire function equal to zero equilibrium evidently exact differential expression formula give given Hence homogeneous function induced infinitely small inner sphere integral extending interior luminiferous ether magnetic medium method Moreover motion obtain partial differential equation particles perfect conductor perpendicular plane plane wave polar co-ordinates potential function arising preceding propagation quantity of electricity radius rational and entire rectangular co-ordinates refracted wave represent satisfy the equation shell sphere substituted suppose surface of junction term theory tion total potential function tricity triple integrals variable velocity vibrations wave's front whole wire

### مقاطع مشهورة

الصفحة 120 - An Essay on the application of Mathematical Analysis to the Theories of Electricity and Magnetism...

الصفحة 67 - Since this was written, I have obtained formulae serving to express, generally, the law of the distribution of the electric fluid near the apex 0 of a cone, which forms part of a conducting surface of revolution having the same axis.

الصفحة 245 - We are so perfectly ignorant of the mode of action of the elements of the luminiferous ether on each other, that it would seem a safer method to take some general physical principle as the basis of our reasoning, rather than assume certain modes of action...

الصفحة 246 - of the advantages of this method, of great importance, is that we are " necessarily led by the mere process of the calculation, and with little care "on our part, to all the equations and conditions which are requisite and "sufficient for the complete solution of any problem to which it may be "applied.

الصفحة viii - In whatever way the elements of any material system may act upon each other, if all the internal forces exerted be multiplied by the elements of their respective directions, the total sum for any assigned portion of the mass will always be the exact differential of some function.

الصفحة 9 - S under consideration, will be expressed by a partial differential of a certain function of the co-ordinates which serve to define the point's position in space. The consideration of this function is of great importance in many inquiries, and probably there are none in which its utility is more marked than in those about to engage our attention. In the sequel we shall often have occasion to speak of this function, and will therefore, for abridgement, call it the potential function arising from the...

الصفحة 283 - Moreover, should the radius of the sphere of sensible action of the molecular forces bear any finite ratio to X, the length of a wave of light, as some philosophers have supposed, in order to explain the phenomena of dispersion, instead of an abrupt termination of our two media we should have a continuous though rapid change of state of the ethereal medium in the immediate vicinity of their surface of separation. And I have here endeavoured to...

الصفحة 3 - CAVENDISH, who, having confined himself to such simple methods, as may readily be understood by any one possessed of an elementary knowledge of geometry and fluxions, has rendered his paper accessible to a great number of readers ; and although, from subsequent remarks, he appears dissatisfied with an hypothesis which enabled him to draw some important conclusions, it will readily be perceived, on an attentive perusal of his paper, that a trifling alteration will suffice to render the whole perfectly...

الصفحة 48 - We therefore see, that the total charge of all the phials is precisely the same, as that which one only would receive, if placed in communication with the same conductor, provided its exterior coating were connected with the earth. Hence this mode of charging, although it may save time, will never produce a greater accumulation of fluid, than would take place, if one phial only were employed. 9. Conceive now, a hollow shell of perfectly conducting matter, of any form and thickness whatever, to be...

الصفحة 14 - ... the radius of the spherical conductor to the thickness of the glass in that point. The total quantity of electricity contained in the interior of any number of equal and similar jars, when one of them communicates with the prime conductor and the others are charged by cascade, is precisely equal to that, which one only would receive, if placed in communication with the same conductor, its exterior surface being connected with the common reservoir.