88 METHODFS GENERALIS 



J- *1 ^'J±Ly_llL^—x • H l-(a4-g) 



ay 



(a(n- 1 ) +gXY-^ '^) ---(yin-i )-f- <J)a|- "^ 



Confequenter -i^^ ^ -''^- ^ '^-- i = J-ABa- 



ay.vV' 

 Pofito A=(^-|-p)--(a«-i-p) et B=^(v4-<5') - - ^ 



(y«-l-(5"j. Hic eii cafiis fi progrcHionis, qiuim f-idores 



conficiunt termnius gencnilis ell ( a;;-f p) (yw-f-o) feu 



« y ;z - -f- ( a (J -f- (3 y ) ;/ '-f- p (J . Comprehenduntm- er- 



go liib hiic forma omnes progrcfliones ordinis fecundi. 



Superior autem formulii ex qua j- determinatur tnins- 



(^y-ad)x^^ (a6'-^y)x 



mutatiir in hanc 



I -f-J— AB.v". Ex qua facilius forma lequcntium in- 

 telligi potelt. 



§. i6. Confidcrabo nunc harum fericrum.recipro- 

 cas, in quibus potcntiae ipfius .v funt diuific pcr id, 

 per quod ante erant multipUcatae. Sit igitur feries fum- 



manda haec ^n^^ ~^ (a^Tpxa^i^T) ~^ (a-+-(B) -rru^p) 



X 



(IT-j-pj -(^i^i^J h»i"s lumma ponatur s. 



1T TT TT-f- I 



nt dj: — a-f-p ^(5^:(3H2a-+-p) H h 



TT-t-rz^l 



(^[if^zTTrra^y Fiat /)«-}-/> tt — a ;; -f (3, crit /;— a, 



ct Trzzirt. Quamobrcm ent j _.iKi-f- 



' ^ dx a-hp 



^ 



