L p<s 1 
Si fiat p-^tf^p'Xi-j — -> hinc orietur ipfifilma New- 
^ — — m 
toni formula ; nam p+qf ~p m Xi -f • — 1= 
/ x i+~x — xs ,^.= 
I • 2 I.2.3. of 
(ft A>ByC>T)y&c. ponantur square primum,fecundum, 
tertium, quartum, &c. cum fuis quemque coefiicien- 
tibus) T B p^~ C p 
+^'Z) 2+^=i E 2 + ^=£ F q -, &c. 
+ P f P 6 p 
Quzeramus nunc formulam elevandi cjufdem hi- 
nomii ad poteftatem — uty r & n funt numeri in- 
71 
tegri, & ambo vel pofitivi, vel negativi. 
r 
y ~ 
Tam p.ar.p’.x =J-3.=f ' quatejermini erunt 
P 
r r r 
p n f ' q-f Z qq-p n 2 q*,&c. 
Coefficientes inveniendi fint AyByCfDyEy ita ut 
r r r » 
tota T+f)” radix =Ap"+Bf~'q+ c p" qq+ 
_T ^ _r 
*^P” q l “\~Ep n ergo ~p~t~cj r ( p T -\-rp r - x q-^ 
r.r — 1 
-p-qq + T ' r &*-) =Ap^+ 
Bp: ’q+Cp~*qq,&c\ =Ay-\-nA- l Bp—'q+ 
nA"-'Cf- z qq+nA' I -' c Dp'='Sqi-\-nA—'Ep r -‘ i q it &c. 
-\rnm — 
