Mathematical and Physical Papers, Volume 4 by George Gabriel Stokes PDF

By George Gabriel Stokes

ISBN-10: 0511702272

ISBN-13: 9780511702273

ISBN-10: 110800265X

ISBN-13: 9781108002653

Sir George Stokes (1819-1903) confirmed the technological know-how of hydrodynamics along with his legislations of viscosity describing the rate of a small sphere via a viscous fluid. He released no books, yet was once a prolific lecturer and author of papers for the Royal Society, the British organization for the development of technology, the Victoria Institute and different mathematical and clinical associations. those gathered papers (issued among 1880 and 1905) are for this reason the one available checklist of the paintings of a very good and influential mathematician, who used to be Lucasian Professor of arithmetic in Cambridge for over fifty years, grasp of Pembroke collage, President of the Royal Society (1885-1890), affiliate Secretary of the Royal fee at the college of Cambridge and a Member of Parliament for the collage.

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When taken out of the fluid the crystals are yellowish-green by reflected light, with a metallic aspect. The following observations were made with small crystals formed in this manner; and an oral account of them was given at a meeting of the Cambridge Philosophical Society, shortly after the appearance of Dr Herapath's paper. The crystals possess in an eminent degree the property of polarizing light, so that Dr Herapath proposed to employ them instead of tourmalines, for which they would form an admirable substitute, could they be obtained in sufficient size.

But the form of the curve will be understood well enough either from the formula (3), or from an inspection of the numbers in the table. It will be seen that in the first three columns the numbers lying between the horizontal lines beginning "20 and "60 correspond to bright rings, and the remainder of each column, together with the beginning of the next, corresponds to a dark ring. But the dark ring, which would regularly follow the fourth bright ring, is converted, by the change of sign of the factor cos {\irx), into a bright ring, forming with the former one broad bright ring having a minimum corresponding to x = S, where however the 3—2 36 ON THE CAUSE OF THE OCCURRENCE OF ABNORMAL FIGURES intensity falls only down to its mean value unity.

If, then, for distinction's sake, we call the two pencils which the crystals, as belonging to a doubly refracting medium, transmit independently of each other, ordinary and extraordinary, the former being that which is transmitted with little loss, we may say, speaking approximately, that the medium is transparent with respect to the ordinary ray and opaque with respect to the extraordinary, while, as regards reflexion, the crystals have the properties of a transparent medium or of a metal, according as the refracted ray is the ordinary or the extraordinary.

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Mathematical and Physical Papers, Volume 4 by George Gabriel Stokes

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