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" Zirb of the undulating surface, of the position of the origin, and of the azimuth in the plane of the line normal to the ridges and valleys. Therefore the proposition is true of any combination whatever of harmonic undulations, and as any inequality may... "
Science - Page 10
edited by - 1883
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Science, Volume 1

John Michels (Journalist) - 1883 - 662 pages
...bears to slope the same ratio as to ., rt, " This ratio is in9 3 dependent of the wave-length 2 JT 6 of the undulating surface, of the position of the...With rigidity as great as that of steel, the slope is 1£ times as great as the deflectioii. "In the problem of the mountains, wh is the mass of a column...
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Report of the ... Meeting of the British Association for the ..., Volume 52

British Association for the Advancement of Science - 1883 - 932 pages
...), the slope is li times as great as the deflection. ratio is independent of the wave-length 2тгЪ of the undulating surface, of the position of the...generally true of inequalities of any shape whatever. A practical conclusion from this is that in observations with an artificial horizon the disturbance...
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Report of the ... Meeting of the British Association for the ..., Volume 52

British Association for the Advancement of Science - 1883 - 950 pages
...ToUhuntcr's Int. Calc.; Chapter on ' Definite Integrals,' ratio is independent of the wave-length 2?r6 of the undulating surface, of the position of the...proposition is true of any combination whatever of harmonic nndnlations, and as any inequality may be built up of harmonic undulations, it is generally true of...
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Proceedings of the Royal Society of London: Containing papers of a ...

Royal Society (Great Britain) - 1918 - 692 pages
...deflection bears to slope the same ratio as vfg to ^aS. This ratio is independent of the wavelength 2irb of the undulating surface, of the position of the...generally true of inequalities of any shape whatever." It would appear that it was Lord Kelvin who first noticed the relation. Whether he had arrived at it...
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Scientific Papers, Volume 1

Sir George Howard Darwin - 1907 - 518 pages
...deflection bears to slope the same ratio as v/g to ^aS. This ratio is independent of the wave-length 2тгЬ of the undulating surface, of the position of the...generally true of inequalities of any shape whatever. Now a = 6'37 x 10" cm., 8 = 5§; and ^aS = 12'03 x 10" grammes per square centimetre. The rigidity...
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Report of the Chief Astronomer

Canada. Department of the Interior. Astronomical branch - 1908 - 310 pages
...Philosophical Magazine, vol. 14, Fifth series, p. 409. SESSIONAL PAPER No. 25a independent of the wave-length of the undulating surface, of the position of the...line normal to the ridges and valleys. Therefore the relation is true of any combination whatever of harmonic undulations ; and as any inequalities may...
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The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science

1882 - 528 pages
...deflection bears to slope the same ratio as v/g to S. This ratio is independent of the wave-length 2?r6 of the undulating surface, of the position of the...generally true of inequalities of any shape whatever. Now a= 6-37 xl^centim., 8 = 51; and Ja8 = 12-03xl08 grammes per square centimetre. The rigidity of...
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Proceedings of the Royal Society of London: Mathematical and ..., Volume 94

Royal Society (Great Britain) - 1918 - 674 pages
...deflection bears to slope the same ratio as v/g to -^aS. This ratio is independent of the wavelength 2,-irb of the undulating surface, of the position of the...generally true of inequalities of any shape whatever." It would appear that it was Lord Kelvin who first noticed the relation. Whether he had arrived at it...
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