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" Having given the radius of an arc of any colour in the secondary rainbow, find the ratio of the sine of incidence to the sine of refraction when rays of that colour pass out of air into water. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 687
by John Martin Frederick Wright - 1836
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Optical Investigations: Caustics

George Henry Sacheverell Johnson - Caustics (Optics). - 1835 - 64 pages
...let us suppose the refracting surface AP less dense than the ambient medium and let us put (m) for the ratio of the sine of incidence to the sine of refraction out of the said surface into the ambient medium. It is evident that we shall have, in every imaginable case,...
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Transactions, Volume 5

Cambridge Philosophical Society - Science - 1835 - 466 pages
...a ray polarized in the plane QOQ is refracted in that plane according to the law of sines. Let M be the ratio of the sine of incidence to the sine of refraction for such a ray out of air into the crystal, D the minimum division of the ray when refracted in the...
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Pneumatics, electricity, magnetism, and optics

Denison Olmsted - Physics - 1835 - 374 pages
...thicknesses of the fluids at the places where the rings appeared, were nearly as 3 to 4, that is, in the ratio of the sine of incidence to the sine of refraction (Art. 905.) when the light passes from water into air. Newton imagined that this result might be extended...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

Mathematics - 1836 - 366 pages
...of refracted rays. 69. If a small pencil of parallel homogeneal rays be refracted into a sphere, and the ratio of the sine of incidence to the sine of refraction be known, to find at what angle the rays must be incident, that they may emerge parallel after any...
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A Treatise on Optics

William N. Griffin - Ophthalmology - 1838 - 206 pages
...substance with different refracting angles that for a ray corresponding to any one of the fixed lines the ratio of the sine of incidence to the sine of refraction was invariable. These ratios or the indices of refraction out of air into water at 15° R are fiB =...
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A Treatise on Optics

David Brewster - Light - 1841 - 432 pages
...surface. Then FL, FL', Jig. M, would represent the incident rays, and LR, L'R the refracted rays, and the ratio of the sine of incidence to the sine of refraction would be represented by the fraction ; substituting this for m in (95) we have m u' _ u — -L (»'—»)...
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A Synopsis of Practical Philosophy: Alphabetically Arranged, Containing a ...

John Carr - Physics - 1843 - 408 pages
...there can be no secondary. 6. Given the radins of an arc of any colonr in the primary rainbow, to flnd the ratio of the sine of incidence to the sine of refraction, when rays of that colonr pass ont of air into water. The radins of the arc" = 4 0' — 2 $ ; let the...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...)r, there can be no secondary. 6. Given the radius of an arc of any colour in the primary rainbow, to find the ratio of the sine of incidence to the sine of refraction, when rays of that colour pass out of air into water. The radius of the arc' = 4 0' — 2 <p ; let the...
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Encyclopędia metropolitana; or, Universal dictionary of knowledge ..., Volume 3

Encyclopaedia - 1845 - 902 pages
...and R the radii of curvature of the spherical surfaces, and f the distance of the object ; also p : q the ratio of the sine of incidence to the sine of refraction ; which in the passage of a ray from air into glass may be replaced by the ratio of 31 : 20 ; and in...
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Elements of Optics

Humphrey Lloyd - Ireland - 1849 - 136 pages
...refracted rays from the surface is to the distance of the focus of incident rays from the same, in the ratio of the sine of incidence to the sine of refraction. cular from it on the refracting surface. Let QR be any ray of the incident pencil, which is refracted...
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