[' 227 ]■ 



-xn+z 



-I 



we have A = -r- ' " = '^=v=== 



For finding the fluent of this fluxion we may ufe the ellipfe a*; 

 ia the laft prop. ' 



r r 



and A : a :: 



\ 



n?" Xi xn-t-i 



Z"- 



■i+e^ xi+^ 



7\" p^~" 



I— e2~ 



orA = «,,?E^lZi±EjR)X== i ^ 



X^ 2X+I — f* (Q.) 



Now I 4- f and i — ^ are values of x in the equation P=o, and 

 the fame quantities are the values of x in the equation Q,= o .-. Q, 

 muft be a divifor of P whatever be the value of n. To accom- 

 plifh this divifion let jc = i -^y 



and then P 





— S-X 2^ — ze — »■ xy~e* + n-i- 2.J'— tf + 



1.2 



>*—'* + 



I. 2. 3 



