64 
Ga gy Pace, Es 
and the terms in 2”, y’, 2”, are all to be taken with positive 
signs. Sir William Hamilton pretends to no farther merit 
in the matter than to that of having sought to illustrate, by 
generalizing in one direction, the foregoing points of the 
theories of his friends. 
February 10, 1845. 
SIR Wm. R. HAMILTON, LL.D., President, in the 
Chair. 
Robert Forster, Esq., William Le Fanu, Esq., Reverend 
George Longfield, John M. Neligan, M. D., William Justin 
O’ Driscoll, Esq., Nicholas P. O’Gorman, Esq., Algernon T. 
Preston, Esq., and James Emerson Tennant, Esq., M. P., 
were elected Members of the Academy, 
The President read a paper on Quaternions.—See Appen- 
dix, No. III. 
A stone celt was presented by the Rey. Dr. Walsh, H.M., 
from Captain Walsh. 
February 24, 1845. 
SIR Wm. R. HAMILTON, LL.D., President, in the 
Chair. 
Matthew Baker, Esq., Patrick Joseph Blake, Esq., John 
D'Arcy, Esq., Rev. Nicholas John Halpin, Samuel Haughton, 
Esq., F. T. C. D., William Hogan, Esq., C. E., James Mac- 
donnell, Esq., C. E., Right Hon. David R. Pigot, Matthew 
R. Sausse, Esq., Walter Sweetman, Esq., R. William Town- 
