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Published online by Cambridge University Press: 17 January 2013
The present Memoir is, to a certain extent, a continuation of one which the author presented to the Society in December 1838, and which has since been published in the thirteenth volume of the Transactions. Other motives, however, than the desire of completing the subject, have influenced him in producing the following analysis. A very important point in the hypothetical conditions which Fresnel assumed to hold with respect to polarized light, has, of late, been warmly combated in various quarters. Fresnel supposed that light polarized in a given plane consists of vibrations of such a nature that the motion is perpendicular to that plane. Neumann and other writers contend that the very opposite is the fact. We hope to be able to offer evidence of some little weight in favour of the former view; at the same time we do not pretend to shew the actual impossibility of the truth of the latter.
page 37 note * Brewster, Ph. Tr. 1819, p. 145. Report of Brit. Ass. vol. vi., Trans, of Sect. p. 13. Seebeck, Annalen der Physik, vol. xxi. pp. 309, 289, vol. xxii. p. 126, and vol. xl. p. 462.
page 37 note † Encyc. Brit. art. Chromatics.
page 37 note ‡ See Annales de Chimie, vol. xvii. p. 189, and 1815.
page 37 note § Vol. xvii. pp. 191, 312; also vol. xlvi. p. 225.
page 37 note ∥ Whewell, Hist. of the Ind. Sc. vol. ii. p. 417.
page 38 note * Mem. de l'Acad. des Sci. vol. x. p. 304.
page 38 note † Annalen der Physik, vol. xxv. p. 418, &c. See also Navier, Mem. de l'Acad. 1824.
page 38 note ‡ Memoirs quoted, and Bulletin des Sci. Matth. Juillet, 1830. Compare Comptes Rendus, Av. 4. 1836.
page 38 note § Philos. Mag. vol. vii, p. 295; vol. viii. p. 103; vol. x. p. 43. L'Institut. vol. v. p. 223. Trans. of the Royal Irish Ac. vol. xiii. p. 11, for 1837.
page 38 note ∥ Abhandlungen der Akad. zu Berlin, vol. xxii. p. 1, für 1835.
page 38 note ¶ Annalen der Physik.
page 38 note ** Transactions of the Cambridge Ph. Soc., vol. vii. pp. 1 and 113.
page 38 note †† Mécan. Anal. Dyn. Sect., 2. Art. 5.
page 38 note ‡‡ Trans. Camb. Phil, Soc., vol. vii. p. 20.
page 38 note §§ Trans. of the Royal Society of Edinburgh, vol. xiii. p. 393.
page 38 note ∥∥ Comptes Rendus, Avril 1836. See also Nouveaux Exercises de Mathematiques, 7e livraison.
page 38 note ¶¶ Ibid. vol. viii. pp. 10 and 115.
page 38 note *** Ibid. p. 116.
page 38 note ††† Ibid. vol. ix. p. 676, Dec. 1838. See also vol. viii. pp. 40, 43.
page 38 note ‡‡‡ Ibid. pp. 374, 432, 459; March 1839, &c.
page 38 note §§§ Ibid. vol. x. p. 273, Feb. 1840.
page 38 note ∥∥∥ Cauchy, Comptes Rendus, vol. x. p. 273, for February 1840.
page 38 note ¶¶¶ Ib. vol. x. pp. 350, 359; 2d May 1840.
page 38 note **** Ib. vol. viii. p. 553.
page 39 note * Phil. Mag., vol. x. p. 382, &c. Trans, of the Royal Irish Ac., vol. xiii. p. 71. See also Comptes Rendus, vol. viii. pp. 961, 964.
page 39 note † Proceedings of the Royal Irish Ac., Dec 9. 1839, p. 375.
page 39 note ‡ Trans, of the Camb. Phil. Soc, vol. vi. p. 178.