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I.—On Tubes of Electromagnetic Force

Published online by Cambridge University Press:  15 September 2014

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Extract

The object of the present paper is to introduce certain surfaces, which will be shown to play the same part in the general electromagnetic field as Faraday's tubes of force do in electrostatic and magnetostatic fields.

The value of Faraday tubes in electrostatics and magnetism has led many investigators to seek for them a wider application, in connection with variable electromagnetic fields.

Type
Proceedings
Copyright
Copyright © Royal Society of Edinburgh 1923

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References

page 1 note * The results of this paper were communicated to Section A of the British Association at its meeting in Edinburgh on September 8, 1921.

page 7 note * So far as I know, this remark was first made by Klein.

page 7 note † The locus of points whose co-ordinates satisfy a linear equation ax + by + cz + dt + e = 0 is called a hyperplane. The intersection of two hyperplanes is in general a plane, and the intersection of three hyperplanes is in general a straight line.

page 12 note * From κάλαμος, a reed-pipe.

page 16 note * Palermo Rend., xii (1898) p. 163.

page 17 note * This result is not new, and is inserted here only because it is necessary for what follows in § 12.

page 22 note * This device was suggested to me by the recollection of the method published in 1876 by Hamburger for integrating systems of simultaneous partial differential equations.