^{page 446 note *} Compare Proceedings, March 17, 1879, “Gravitational Oscillations of Rotating Water.” Solution II. (Case of Circular Basons).

^{page 451 note *} “On the Effect of Internal Friction on the Motion of Pendulums,” equations (93) and (106).—Cambridge Phil. Trans., Dec. 1850.

P.S.—I am informed by Mr J. W. L. Glaisher that Gauss, in section 32 of his “Disqusitiones Generales circa seriem infinitam ” (Opera, vol. iii. p. 155), gives the value of in his notation, to 23 places as follows:—

1·96351 00260 21423 47944 099.

Thus it appears that the last figure in Stokes' result (106) ought, as in the text, to be 0 instead of 2. In Callet's Tables we find

logє 8=2·07944 15416 79835 92825,

and subtracting the former number from this we have the value of E to 20 places given in the text.

^{page 451 note †} Stokes, ibid.

^{page 455 note *} Republished in Lömmel's “Besselsche Functionen,” Leipzig, 1868.

^{page 456 note *} “Vortex Atoms,” Proc. Roy. Soc. Edin., Feb. 18, 1867.