. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. IQg UNDULATORY THEORY OF LIGHT. ^•?yrations, being in opposite directions, Avould produce a rectilinear resultant. I« this case, suppose the molecule, M, to be in any part of tho circumference in which either of the gyrations would cause it to revolve; it will be subject to the action of three forces : one, MC, directed toward the centre of its orbit, and the other two, represented by P and Q, equal and opposite. The; two latter neutralize
. Annual report of the Board of Regents of the Smithsonian Institution. Smithsonian Institution; Smithsonian Institution. Archives; Discoveries in science. IQg UNDULATORY THEORY OF LIGHT. ^•?yrations, being in opposite directions, Avould produce a rectilinear resultant. I« this case, suppose the molecule, M, to be in any part of tho circumference in which either of the gyrations would cause it to revolve; it will be subject to the action of three forces : one, MC, directed toward the centre of its orbit, and the other two, represented by P and Q, equal and opposite. The; two latter neutralize each other, and the molecule pursues tho path MC. When the molecule is at M', the tangential forces JP and Q, which will then have the directions P' and Q'. will not directly balance .each other, but will have a resultant in the direction RG. And for all other points in the path of the molecule, as M'', M'", &c., the resultant of the tan- ii'^ gential forces will always be in the diameter, MN, of the Fig. 4:'J orbit. In Fi"". 48 we have supposed the arrows PP'and P''P'" to represent not only tlie iwsUions of the planes of molecular vibration, but the direction of the move- ments. Their resultant plane is accordingly QQ'. If the direction of one of them, as of P"P'", had been opposite, the resultant would be RR. If the two were in any equal positive and negative azimuths, greater or less than 45'-^, their resultant gyrations would be elliptic; but the ellipses, being equal and similar, and similarly situated to the reflection, whilt they are opposite in move- ment, would still produce the vibration QQ . And two movements in azimuths equally above and below 90°, either positive or negative, would in like manner produce the plane vibration RR . iSiow the condition of natural light is such that, for every azimuth of its successive plane vibrations, as PP , producing, by total reflection, a gyratory molecular movement, whether circuldr
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