Mathematical Papers of the Late George GreenРипол Классик, 1871 |
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الصفحة
... obtained by adding together the masses of all the particles of a system, each divided by its distance from a given point. In this essay, which is divided into three parts, the properties of this function are first considered, and they ...
... obtained by adding together the masses of all the particles of a system, each divided by its distance from a given point. In this essay, which is divided into three parts, the properties of this function are first considered, and they ...
الصفحة 8
... obtain the little knowledge he possesses, at such intervals and by such means, as other indispensable avocations which ofi'er but few opportunities of mental improvement, afi'orded. INTRODUCTORY OBSERVATIONS. THE object of this Essay is ...
... obtain the little knowledge he possesses, at such intervals and by such means, as other indispensable avocations which ofi'er but few opportunities of mental improvement, afi'orded. INTRODUCTORY OBSERVATIONS. THE object of this Essay is ...
الصفحة 9
... obtained by dividing the quantity of electricity in each element of the body, by its distance from the particle 10, and taking the total sum of these quotients for the whole body, the quantities of electricity in those elements which ...
... obtained by dividing the quantity of electricity in each element of the body, by its distance from the particle 10, and taking the total sum of these quotients for the whole body, the quantities of electricity in those elements which ...
الصفحة 11
... obtain the values of Vand I" from these equations, we should have immediately, by difi'erentiation, the required value of p, as will be shown in the sequel. In the first place, let us consider the function V, whose value at the surface ...
... obtain the values of Vand I" from these equations, we should have immediately, by difi'erentiation, the required value of p, as will be shown in the sequel. In the first place, let us consider the function V, whose value at the surface ...
الصفحة 12
... obtain V', its value at A,-by means of the equation (a), since this 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 ...
... obtain V', its value at A,-by means of the equation (a), since this 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 ...
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