NOTICES AND: ABSTRACTS 
: OF 
_ MISCELLANEOUS COMMUNICATIONS 
TO THE SECTIONS. 
_ MATHEMATICS AND PHYSICS. 
Exposition of the Argument of Abel, respecting Equations of the Fifth 
w hae By Proressor Sir W.R. Hamitton, Pres. R. I. Aca- 
Uy 
Tats Exposition will be published in the Second Part of the XVIIIth 
Volume of the Transactions of the Royal Irish Academy; and a 
ketch of it has been already printed in the 5th Number of the 
Monthly Proceedings of that Academy, for the year 1836-7. 
uy 
x On New Applications of the Calculus of Principal Relations. By 
BS Proressor Sir W. R. Hamitton, Pres. R. I. Academy. 
___ After the reading of this paper the author was requested by the 
General Committee to report to the next Meeting on the applicability of 
¥ his Calculus of principal relations to the theory of the Moon’s motions. 
‘ “An Exposition ue Mr. Turner's Theorem respecting the Series of Odd 
_ Numbers and the Cubes and other powers of the Natural Numbers. 
; By Proressor Sir W. R. Hamiiton. 
_ VOL. vi. 1837. B 
