Resolution of Algebraical Equations. 153 



In concluding these few observations on Algebra, we may 

 observe, that in whatever department of Analysis we seek prin- 

 ciples, simple in their announcement, and general in their appli- 

 cations; so far as we succeed, something useful is acquired for 

 analysis, nor can any branch of Mathematics, however humble, 

 be deemed unworthy of cultivation in this way, and it is with 

 this view that the Author has presented this Essay to the 

 Society. 



r r ROBERT MURPHY. 



Caius College, 

 March, 1831. 



ERRATA. 

 I'. 140. 1. 18. put du" below the line. 

 — - 144. bottom, fur f(a) jmtj'(fl). 

 and for f(a) put J {a)'. 

 — 147. 1. 5. for S/Zw— 1 put 2ir v/^T- 



Vol. IV. Part I 



