1889. ] Prof. Cayley, On the Binodal Quartic.  . . 348 
March 11, 1889. 
Mr J. W. CLARK, PRESIDENT, IN THE CHAIR. 
The following were elected Fellows of the Society: 
The Very Rev. H. M. Butler, D.D., Master of Trinity College. 
W. A. Wright, M.A., Vice-Master of Trinity College. 
E. W. Gosse, M.A., Trinity College. 
The President announced that Prof. Stokes, Prof. Adams, and 
Lord Rayleigh, the adjudicators of the Hopkins Prize for the period 
1874—1876, have recommended that the Prize be awarded to 
Str WILLIAM THOMSON for his Mathematical researches on the 
Theory of the Tides and other important investigations in Mathe- 
matical Physics; and that this recommendation has been confirmed 
by the Council of the Society. 
The following Communications were made: 
(1) Remarks on a paper by Siz G. Arry. By F. J. Canpy, M.A., 
Emmanuel College. 
The author gave a geometrical interpretation, by means of 
vectors, of the function employed by Sir G. Airy (Proc. Vol. VI. 
p- 104). 
(2) On the change of the pentad to the triad nitrogen atom. By 
S. RuHEMANN, M.A., Gonville and Caius College. 
(3) On the change of citric acid to pyrrol derivatives. By S. 
SKINNER, M.A., Christ’s College. 
May 6, 1889. 
Proressor ADAMS, MEMBER OF COUNCIL, IN THE CHAIR. 
The following were elected Fellows of the Society: 
W. H. Caldwell, M.A. Gonville and Caius College. 
L. E. Shore, M.A., M.B., St John’s College. 
W. B. Hardy, B.A., Gonville and Caius College. 
The following Communications were made: 
(1) On the binodal quartic and the graphical representation of 
the elliptic functions. By Prof. CAYLEY. 
[ Abstract. | 
The subject is approached from the question of the graphical 
representation of the elliptic functions. Starting from the equation 
