Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the Earth, Precession and Nutation, the Calculus of Variations, and the Undulatory Theory of Optics: Designed for the Use of Students in the University |
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... reflected and refracted rays , & c . , though generally probable , I conceive to be far from certain . The plan of this Tract has therefore been to include those phænomena only which admit of calculation . Many subjects are thus ...
... reflected and refracted rays , & c . , though generally probable , I conceive to be far from certain . The plan of this Tract has therefore been to include those phænomena only which admit of calculation . Many subjects are thus ...
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... reflected from a glass surface , and that of the nature of light reflected internally and totally from glass , were written as a conjectural restoration of Fresnel's investigations , when his paper was supposed to be lost . That paper ...
... reflected from a glass surface , and that of the nature of light reflected internally and totally from glass , were written as a conjectural restoration of Fresnel's investigations , when his paper was supposed to be lost . That paper ...
Page 276
... reflected from a large surface ( which amounts nearly to the same thing ) it is hardly sensible ex- cept in front of the opening , or in the direction of reflec- tion . 29. Our conclusion with regard to light is also import- ant as ...
... reflected from a large surface ( which amounts nearly to the same thing ) it is hardly sensible ex- cept in front of the opening , or in the direction of reflec- tion . 29. Our conclusion with regard to light is also import- ant as ...
Page 277
... reflection of light on the un- dulatory theory . 31. We shall again refer to the motion of sound for an analogical illustration of this point . In fig . 7 let ABCD be the front of a wave ( which for simplicity we suppose plane , every ...
... reflection of light on the un- dulatory theory . 31. We shall again refer to the motion of sound for an analogical illustration of this point . In fig . 7 let ABCD be the front of a wave ( which for simplicity we suppose plane , every ...
Page 279
... . This is the general ex- pression for spherical waves going to and from the center whose co - ordinates are a , b , c . wave will be B'C'D ' , making with the wall REFLECTION OF LIGHT . 279 making with the wall the same angle as CC" ...
... . This is the general ex- pression for spherical waves going to and from the center whose co - ordinates are a , b , c . wave will be B'C'D ' , making with the wall REFLECTION OF LIGHT . 279 making with the wall the same angle as CC" ...
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Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy No preview available - 2018 |
Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy No preview available - 2015 |
Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the ... George Biddell Airy No preview available - 2018 |
Common terms and phrases
analyzing plate angle angle of incidence angular velocity attraction axes axis bright co-ordinates coefficient common light Consequently cos² crystal curve density different colours differential direction displacement distance disturbing force dR dR dt dt dx dx Earth ellipticity equal equation expression extraordinary ray Fresnel's rhomb front function ƒ² glass Hence integration intensity investigation length longitude lunar Moon Moon's motion multiplied nearly Newton's rings nutation orbit ordinary ray parallel particles perigee perihelion perpendicular plane of incidence plane of polarization plane of reflection precession principal plane produced PROP proportion quantity refraction rhombohedron rings shews sin² spheroid suppose surface true anomaly undulation vibration vt-x wave
Popular passages
Page 12 - The centre of gravity of the Earth and Moon describes about the Sun, very nearly, an ellipse in one plane, and the area passed over by its radius vector is very nearly proportional to the time.
Page 285 - We have every reason to think that a part of the velocity of sound depends on the circumstance that the law of elasticity of the air is altered by the instantaneous developement of latent heat on compression, or the contrary effect on expansion. Now if this heat required time for its developement, the quantity of heat developed would depend on the time during which the particles remained in nearly the same relative state; that is, on the time of vibration. Consequently...
Page 286 - Now, if this heat required time for its development, the quantity of heat developed would depend upon the time during which the particles remained in nearly the same relative state, that is, on the time of vibration. Consequently, the law of elasticity would be different for different times of vibration, or for different lengths of waves ; and therefore the velocity of transmission would be different for waves of different lengths. If we suppose some cause which is put in action by the vibration...
Page 339 - On considering this presumption in conjunction with the second and third conclusions, we easily arrive at this simple hypothesis explaining the whole : Common light consists of undulations in which the vibrations of each particle are in the plane perpendicular to the direction of the wave's motion. The polarization of light is the resolution of the vibrations of each particle into two, one parallel to a given plane passing through the direction of the...
Page 343 - ... that there are three directions^" at right angles to each other, in which if a particle be disturbed, the resultant of the forces * M.
Page 343 - To explain the separation of common light into two pencils by doubly refracting crystals : and to account for the polarization of the two rays in planes at. right angles to each other.
Page 255 - I* when a single undulation' only is considered. It is to be observed that a is the maximum vibration of any particle. PROP. 5. To explain the interference of undulations. 9. By interference is meant the co-existence of two undulations in which the length of a wave is the same. The conception of interference is not in any circumstances...
Page 284 - ... and this will cause a reflected wave. Thus when light passes through glass there will be reflection at both surfaces. But there is this difference between th'e two reflections : one is caused by a vibration in the same direction as that of the incident ray, and the other by a vibration in the direction opposite to that of the incident ray. We shall find this distinction important in explaining a fundamental experiment (65). The same thing may be thus shewn. If we suppose a mass of glass to be...