PROPOSITION V.

_When an Undulation is transmitted through a Surface terminating

different Mediums, it proceeds in such a Direction, that the Sines of

the Angles of Incidence and Refraction are in the constant Ratio of the

Velocity of Propagation in the two Mediums._

(BARROW, Lect. Opt. II. p. 4. HUYGENS, _de la Lum._ cap. 3. EULER,

_Conj. Phys._ Phil. Trans. for 1800, p. 128. YOUNG’s Syllabus. Art.

382.)

_Corollary_ 1. The same demonstrations prove the equality of the angles

of reflection and incidence.

_Corollary_ 2. It appears from experiments on the refraction of

condensed air, that the ratio of the difference of the sines varies

simply as the density. Hence it follows, by Schol. I. Prop. I. that

the excess of the density of the ethereal medium is in the duplicate

ratio of the density of the air; each particle cooperating with its

neighbours in attracting a greater portion of it.

On the theory of light and colours · 第 9 / 17 题