...refracted towards the perpendicular ; but from a denser into a rarer" one, from the perpendicular ; and the sines of the angles of incidence and refraction are in a given ratio. But light consisting of parts which are differently refrangible, each part of an original...

...power of the distance from it; determine the equation to the curve which it describes; and shew that the sines of the angles of incidence and refraction are in a given ratio. ASTRONOMICAL PROBLEMS. SECTION I. 1. PROVE that the orthographic projection of a circle...

...tan ф + а tan в .............. (1), also sinö = m sin ф ............................ (2), since the sines of the angles of incidence and refraction are in a constant ratio. If now в and ф be supposed to vary slightly, while" у and œ remain constant, the intersection p,...

...QI'L ; or, denoting the angles of incidence and refraction by I and B, sin. I / v sin. R /' v that is, the sines of the angles of incidence and refraction are in a constant ratio. In the same manner as in the preceding case, it may be shown that the rays which do not satisfy this...

...refracting media. In the former case the angles of incidence and reflection are equal ; in the latter the sines of the angles of incidence and refraction are in a constant ratio for one and the same medium. The position and magnitude of the image of an object is easily ascertained,...

...he demonstrates that on these principles the deviation of the refracted ray will follow the law that the sines of the angles of incidence and refraction are in a constant ratio. Similar investigations have been pursued by Laplace, more especially with regard to atmospherical refraction,...

...tan <[>+ С is equation to Jiq. ,-.y — — x tan if + a tano (1)> also sin6=»»sin</> (2), since the sines of the angles of incidence and refraction are in a constant ratio. If now 0 and ф be supposed to vary slightly, while у and x remain constant, the intersection p of...

...refracting media. In the former case, the angles of incidence and reflection are equal; in the latter, the sines of the angles of incidence and refraction are in a constant ratio for one and the same medium. The position and magnitude of the image of an object is easily ascertained,...

...refracting media. In the former case the angles of incidence and reflection are eqnal ; in the latter the sines of the angles of incidence and refraction are in a constant ratio for one and the same medium. The position and magnitude of the image of an object are easily ascertained,...

...from the points where it cuts the rays, on the normal. The law is that these perpendiculars R' P', SP, will have a constant ratio ; or the sines of the...and always increases with the angle of incidence. 728. Verification of the Law of Sines. — These laws can be verified by means of the apparatus represented...