Mathematical and physical papers . en DB would have given thedirection of the ray. Let a plane P be drawn perpendicular to the reflecting orrefracting surface and to the waves of incident light, which in thisinvestigation may be supposed plane. Let the velocity v of theether in vacuum be resolved into p perpendicular to the plane P, 144 ON fresnels theory of the aberration of light. and q in that plane; then the resolved parts of the velocity v/jiof the ether within a refracting medium will be p/ff, q/p-2- Letus first consider the effect of the velocity p. It is easy to see that, as far as reg

Mathematical and physical papers . en DB would have given thedirection of the ray. Let a plane P be drawn perpendicular to the reflecting orrefracting surface and to the waves of incident light, which in thisinvestigation may be supposed plane. Let the velocity v of theether in vacuum be resolved into p perpendicular to the plane P, 144 ON fresnels theory of the aberration of light. and q in that plane; then the resolved parts of the velocity v/jiof the ether within a refracting medium will be p/ff, q/p-2- Letus first consider the effect of the velocity p. It is easy to see that, as far as reg Stock Photo
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The Reading Room / Alamy Stock Photo

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2AKNW3R

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1934 x 1293 px | 32.7 x 21.9 cm | 12.9 x 8.6 inches | 150dpi

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Mathematical and physical papers . en DB would have given thedirection of the ray. Let a plane P be drawn perpendicular to the reflecting orrefracting surface and to the waves of incident light, which in thisinvestigation may be supposed plane. Let the velocity v of theether in vacuum be resolved into p perpendicular to the plane P, 144 ON fresnels theory of the aberration of light. and q in that plane; then the resolved parts of the velocity v/jiof the ether within a refracting medium will be p/ff, q/p-2- Letus first consider the effect of the velocity p. It is easy to see that, as far as regards this resolved part ofthe velocity of the ether, the directions of the refracted andreflected waves will be the same as if the ether were at rest.Let BAG (fig. 1) be the intersection of the refracting surfaceand the plane P; DAE a normal to the refracting surface; AF, AG, AH normals to the incident, reflected and refracted waves.Hence AF, AG, AH will be in the plane P, and i GAD = FAD, /j, sin HAE= sin FAD.Take AG = AF, AH=-AF.. Draw Gg, Hh perpendicular to the plane P, and in the directionof the resolved part p of the velocity of the ether, and Ff in theopposite direction; and take Ff : Hh : FA ;: p ; >L : V, and Gg = Ff, and join A with / g and h. Then fA, Ag, Ah will be the di-rections of the incident, reflected and refracted rays. Draw FDHE perpendicular to DE, and join/D, hE. Then fDF, hEH willbe the inclinations of the planes fAD, hAE to the plane P. Now tan DFf= --^-L^ , tan HEh = -^-fl^ ?> FsinFAD /x Fsin HAE and sin FAD=fi sin HAE; therefore tan FDf= tan HEh, and on fresnels theory of the aberration of light. 145 therefore the refracted ray Ah lies in the plane of incidencefAD. It is easy to see that the same is true of the reflected rayAff. Also i. gAD =fAD; and the angles fAD, hAE are sensiblyequal to FAD, HAE respectively, and we therefore have withoutsensible error, sin/4Z> = ^sinhAE. Hence the laws of reflexionand refraction are not sensibly affected b

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