^{page 619 note *} Trans. R.S.E., xlv. (ii.), p. 420. Report on the Scientific Remits of the Scottish Lake Survey, vol. i. p. 125, Challenger Office, Edinburgh, 1910.

^{page 619 note †} “Zur Frage der Temperaturseiches,” Pet. Geogr. Mitt., 1909, Heft 12Google Scholar.

^{page 619 note ‡} “On the Evidence for Temperature Seiches,” Trans. Wise Acad. Sciences, Arts, and Letters, xvi. (ii.), 1005Google Scholar.

^{page 619 note §} Sitzber. dtr K. Akad. d. Wiss. in Wien, math.-nat. Kl., cvii., Abt. iia, Jan. and Dec. 1908Google Scholar.

^{page 619 note ║} The following is a note of literature dealing with the physics of the Madüsee:—Halbfass, , “Beiträge zur Kenntnis der Pommerschen Seen,” Pet. Geoyr. Mitt., 1901Google Scholar, Ergänzungsheft No. 136. “Stehende Seespiegelsch wankungen (Seiches) im Madüsee in Pommern,” Zeitschr. für Gewässerkunde, v. 15, vi. 65 (1902). Samter, , “Der Madüsee,” Archiv für Naturgeschichte, 71 Jahrg., Bd. i., Heft 3, 1905. (This includes an excellent chart of the lake.)Google Scholar

^{page 620 note *} Acknowledgment is also made to the following institutions which lent instruments to Professor Halbpass:—The Deutsche Seewarte for a reversing thermometer, the Kgl. Preuss. Meteorological Institute for a wind-meter, and the Institute of Meereskunde, Berlin, for current-meter and sounding lines. From this country several thermometers were lent from the Challenger Office hy Sir John Murray, K.C.B.

^{page 623 note *} Op. cit.

^{page 625 note *} Trans. Roy. Soc. Edin., xlv. (ii.) p. 430.

^{page 625 note †} Hours are numbered continuously from midnight to midnight. Figures appearing after the point denote minutes after the hour.

^{page 628 note *} Lamb, , Hydrodynamics (1906 ed.), p. 353.Google Scholar

^{page 629 note *} Proc. Cambridge Phil. Soc., xv. (iv.), p. 297, 1910Google Scholar.

^{page 629 note †} Sitzungsb. K. Akad. Wiss. Wien, math.-nat. Kl., Bd. cxvii., Abt. iia, Jan. 1908Google Scholar. Dr Schmidt has made a slight slip in the equation on page 96, by including n under the square root bracket.

^{page 630 note *} Throughout I have followed Chbystal's notation and method closely.

^{page 630 note †} Lamb, p. 354.

^{page 630 note ‡} Ib., p. 244.

^{page 633 note *} Burnside, , Proc. Lond. Math. Soc., xx. p. 392 (1889).Google Scholar

^{page 636 note *} The experiments were carried out in the Physical Laboratory of the University of Edinburgh, and most of the observations were made by Mr Williams. The cost of the apparatus has been defrayed by a grant from the Moray Fund of the University of Edinburgh.

^{page 637 note *} H.T.S., p. 638.

^{page 638 note *} Proc. Roy. Soc. Edin., vol. xxvi., 1905–1906, p. 143Google Scholar.

^{page 639 note *} Some serious observational error is suspected.