2 Mr Greenhill, Note on Mr Larmor's [Oct. 29, 



The President in returning thanks for his re-election referred 

 to the work of the Society during the past year. The number and 

 importance of the communications made to the Society had 

 rendered the year a remarkable one ; and he especially noticed the 

 papers relating to Botany, a subject which till recently had been 

 but rarely brought before the Society. In the year a Committee 

 of the Council had prepared a greatly extended list of Foreign 

 Institutions to which the Transactions and Proceedings of the 

 Society should be sent. The list had been approved by the 

 Council, so that the publications of the Society were now widely 

 circulated abroad, and the complaint that they were difficult 

 to consult on the Continent could not justly be made in the future. 

 The Council had also reprinted Vol. II., part 1, of the Transac- 

 tions, so that complete sets of the Transactions could now be 

 procured. A Committee of the Council were at present con- 

 sidering the question of improving and rendering more useful 

 and available the publications of the Society, as, for example, 

 by publishing and offering for sale all papers separately, or 

 forming separate parts consisting only of papers relating to the 

 same group of subjects. He regretted that the Society had lost 

 two of their officers, Dr Pearson, and Mr Hicks, who had gone out 

 of residence : but he was glad that Mr J. W. Clark had consented, 

 in spite of his numerous engagements, to accept the office of 

 Treasurer, and that the Society had obtained the services of 

 Mr Glazebrook and Mr Vines as secretaries. 



The following papers were communicated to the Society : 



1. On the effect of viscosity on the tides. By the Rev. O. 

 Fisher, M.A. 



2. Note on Mr Larmors communication on " Critical Equi- 

 librium." By A. G. Greenhill, MA. 



Mr Larmor has expressed the results of the integration of his 

 differential equations in Legendre's notation, but a slight modifica- 

 tion will exhibit them in Jacobi's notation for the direct elliptic 

 functions. 



Thus for the differential equation 



- d ^ = c9-m6\ 



g d? 



integrating, supposing ft the amplitude of vibration 

 tf fdd 

 9 



'^(f) = -^(/3*-0 2 ) + |m(/3*-^) 



= (/3 2 -^)(im/3 2 -i C + |»#); 



