SVMMANDI PROGRESSIONES. 77 



efl qiiales niimeri loco a et (3 fubftitiuintiir , fit igitiir 



a"P — I- Erit j-^r^ijri*^"" ^^6 '~~in;i-'6~ — 



j ^_ /i — v^^x 



. r,.'» (/.v ( — ^ ). Atqiie pofl integrationem fieri 



debet xzizi. Qiiemadmodnm in differtatione defiim- 

 mationibus initio citatn inucneram, 



§. 10. Sit propofita progrelfio , cuius terminus or- 



dine n eft ^, affumo hic tantum a" lo- 



(an-i-lf)ic-n-\-e) 



co .v«-i-''— ' (^ tum compcndii ergo, tum quia haec po- 

 tentia in illam fociU negotio poteft transmutari. Sit 



terminus rummatorius j, erit /).v^j — — i— -^ 



{a-{-l;)ic--{-e) \ 



/).v^-^-" . , diff:/).v^.f 

 - '- ^ — Adeoque ' 



(an-{-l;)ic-n-]-e) dx 



p(7r-f-i).r" ^ /)(7r-+-;/).v--+-"-' 



-^— — — I . riat p TT 



(a^b)ic-^-e) (an-\-b)(cn-\-e) 



-\-pnr:zMn-\-b., erit pz=:a ct tt— -. Ergo habctur 



liiiiL— = 1 [-- . MultipHce- 



Hx c-\-e cn-\-e 



b &_ 



tur denuo per px^ . erit -i- — , —'- -1 — 



dx c-\-e 



b_ b 



.V <^ -+'«-+--^- 1 apd(x'^d(x'' s)) 



i— — . Hnicque proditJ !: -- 



cn-\-e dx 



b_ &_ 



p [■- -\- TT ) -v» -^''- ' , , p(l-\-n-\- r. - 1 ^.v* -+--^-+-^-2 



c n -f- e 

 K 3 Fiac 



