...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...

...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...

...parallel to that surface. Thus v sin tsr = y' sin «r', and sin «r u' sin us1 ~~ o ' that is, in words, the ratio of the sine of incidence to the sine of refraction is equal to the ratio of the velocity of the light after refraction to the velocity of the incident light;...

...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 =...

...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 (»'—»)...

...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...

...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...

...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...

...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...

...is at the present time by no means perfect. The index of refraction of any transparent substance is the ratio of the sine of incidence to the sine of refraction, when light passes index refraction is 3 ; hence in the equation sin i — n sin r, all the values of...