Proceedings at the Meetings 217 



4. Congruences with respect to composite moduli. By Major P. A. 

 MacMahon, 



5. Equivalence of different mean values. By Alfred Kienast. 

 (Communicated by Professor G. H. Hardy.) 



6. Construction of the ninth intersection of two cubic curves passing 

 through eight given coplanar points. By Professor H. F. Baker. 



7. Quintic transformations and singular invariants. By W. E. H. 

 Berwick, M.A., Clare College. 



May 17, 1920. 

 In the Cavendish Laboratory. 



Mr C. T. E. Wilson, President, in the Chair. 



The following were elected Fellows of the Society : 



W. M. H. Greaves, B.A., St John's College. 

 W. M. Smart, M.A., Trinity College. 



The following was elected an Associate: 

 T. Shimizu. 



It was announced that the adjudicators for the Hopkins Prize had 

 made the following awards : 



For the period 1903-06 to W. Burnside, M.A., F.R.S., of Pembroke 

 College, for investigations in Mathematical Science. For the period 

 1906-09 to G. H. Bryan, Sc.D., F.R.S., of Peterhouse, for investigations 

 in Mathematical Physics, including aerodynamic stability. For the 

 period 1909-12 to C. T. R. Wilson, M.A., F.R.S., of Sidney Sussex 

 College, for investigations in Physics, including the paths of radioactive 

 particles. 



The following Communication was made to the Society : 



The atomic nature of matter in the light of modern physics. By 

 F. W. Aston, M.A., Trinity College. With Experiments. 



I 



