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.

DOUBLE REFRACTION OF GLASS UNDER PRESSURE. 383 of blue, in the other there will be an absence of red at the same point and an excess of blue, &c. If instead of an analyzing plate we use the doubly-refracting prism described in (117), two images are seen at once in different positions, every part of one of which is complementary to the corresponding part of the other. For, one pencil emerging from the prism consists only of vibrations perpendicular to the plane of refraction of the prism, and therefore presents to the eye the same image as the analyzing plate in a given position: the other consists only of, vibrations in the plane of refraction, and therefore presents the same image as the analyzing plate in the position differing 900 from the former. PJioP. 39. Glass under pressure possesses double refraction. 176. This was experimentally shewn by M. Fresnel in the following manner. A number of prisons were placed as in fig. 38, and to prevent loss of light a fluid of nearly the same refractive power was dropped between the adjacent surfaces. The ends of A, B, C, D, were then violently pressed by means of screws. On passing a ray of light through the combination it was divided into two, one polarized in the plane of the paper and the other in the perpendicular plane. 177. It is found also that pressure affects the separation of the two rays in crystals which possess the property of double refraction. This leads to the presumption that double refraction is produced generally by a state of mechanical constraint in the particles of bodies. 178. According to our preceding theories, since compressed glass possesses double refraction, it ought, when properly interposed between the polarizing and analyzing plate, to exhibit colours. This may be seen on squeezing by means of a screw a piece of glass and holding it in tie apparatus. But it may be best exhibited by taking a thick piece of plate glass which is polished at the edges, and

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Title
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.
Author
Airy, George Biddell, Sir, 1801-1892.
Canvas
Page 368
Publication
Cambridge,: J. & J.J. Deighton;
1842.
Subject terms
Celestial mechanics.
Calculus of variations
Geometrical optics.

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"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." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/aan8938.0001.001. University of Michigan Library Digital Collections. Accessed May 1, 2025.
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