PROCEEDINGS 



OF THE 



Cambritrgt fpjttosnpjnad Botuty. 



Monday, 24 January, 1898. 

 Mr F. Darwin, President, in the Chair. 



The following communications were made to the Society : — 



(1) A New Method in Combinatory Analysis with applica- 

 tions to Latin Squares and associated, questions. By Major P. A. 

 MacMahon, RA, Sc.D., F.R.S. 



This paper is printed in the Transactions, Vol. xvi. Part iv. 



(2) Abelian Functions in connexion with two-dimensional 

 fluid motions. By H. F. Baker, St John's College. 



1. Consider the portion of the upper half plane of the complex 

 variable £ which lies outside p circles, which do not intersect each 

 other or the real axis. Then the function which gives the streaming 

 motion in this portion of the upper half plane due to a doublet of 

 arbitrary strength and position is already known (loc. cit. (/?),(#))*. 



* The references given to the literature are by the Greek letters, as follows : 

 (a) Riernann, Ges. Werke (1876), No. xxv., p. 413 (or second edition, p. 440) ; (j3) 

 Schottky, Crelle, lxxxiii. (1877) ; (7) Schottky, Crelle, ci. (1887) ; (5) Schottky, Crelle, 

 cvi. (1890) ; (d) Burnside, Proc. Lond. Math. Soc. xxii., xxiii., and Messenger of 

 Mathematics, xx. (1891) ; (k) the writer's Abelian Functions (1897), Chap. xii. ; 

 (X) Kluyver, Acta Math. xxi. (1897). 



vol. ix. pt. viii. 32 



