221 



On the METHOD of taking RADICALS out of 

 E Q,U A T I O N S. By Mk. D. M O O N E Y, J. E. 

 Trinity College., Dublin. Communicated by WHITLEY 

 STOKES, M.D. F.T. C. D. and M. R. I J. 



x\. MONO the rules delivered by the incomparable Sir Ifaac Read jui^e 

 Newton for the Redudion of Equations, the following is a prin- 

 cipal one : 



" Si cui furdae quantitati irreducibili litera involvatur ad cujus 

 " dimenfiones, asquatio ordinanda eft, cseteri omnes termini ad 

 *'■ contrarias partes, cum fignis mutatis transferendi funt, & utra- 

 " que pars asquationis in ie femel multiplicanda, fi radix quadra- 

 " tica fit, vel bis fi fit cubica." 



If the letter be involved in a fingle furd, the operation is eafily 

 performed by fimple involution ; but if in two or more furds, of 

 the fame or different dimenfions, or if there be a number of ra- 

 dical quantities involved in the terms of the equation, the opera- 

 tion for clearing fuch an equation from radicals, is fomewhat more 

 difficult. 



In. 



