BERNOVLLIAN. INVOLVENTIVM. 155 



I 



^""^■"I^^ + Ti:^" definiri poffit , hanc ope- 



rationem fufcipiamus. Multiplicemus fcilicet per 

 e~y dy et integrale a terminojzio Ysque ad jkhco 

 extendamus , et quia in genere eft fe^^^y^dy 

 ^ !• 2. 3 ^, nancifcemnr 



iAj-i.2.3BaH 1.2 5Ctf'-i.2..*..7Dfl''+etc. 



— — i —-1- f ~ ^ r ~ — 



Qiiare pofito « ^ ~ erit 



e~^dy e""^ dy 



ideoque pofito m:iz 1, fiet 



e-ydy e-^dy 



O^-/ ^-h/ 4 



■^ y ^ i—e^ 



ita vt numerus O quem quaerimus, duplicem qiian- 

 titatem tranfcendentem inuoluat. 



26. Transformemus has formulas ope fubfti- 

 tutionis e~^-zzz fietque integralia a termino z-\ 

 vsque ad zziz o extendendo 



r\ r & z __ r d z r dzji — z -4 -. Z z) 



Vel ftatuamus i— szzi?, vt iam integralia a tcr- 

 mino H}zz.o vsque ad i; ir. i extendi debeant, pro- 

 venietque 



V 2 At 



