JDE FRJmOmBFS CONTINFIS OBSERV. 4S 



dones fbrmularum integraliom , eo faltem cafu quo varia- 

 bili poft integrationem definitus valor tribuitur, eiusmodi 

 comparationes plures in praecedente diflertatione de pro- 

 dudlis ex infinitis fadoribus confiantibus exhibui. 



§. 21. Vt igitur hunc a me inuentum interpolandi 

 modum exponam propofita fit ifla feries latifiime patens 



^ , __. pip- ^^-r) , ^ pip ^^ryp^.r) - 



i)-+-2.2'i~'(i>-+-2g)f:?-H g-4-2r)'J^l:f-|-2.;X?-f-»?H-iO(p-^-22-h+'') ~T" ^'•^* 



cuius terminus indicis ^ fit ziz A ; teiminus indicis | = AB 

 C terminus indicis | i:=:ABCDE , etc. Hinc igitiir erit 



A15 — . p^zq 7 ^^ p-i-zq-i-ir 'f ■*^ ^ 7 pZjZ^^-^.r '•) ^^C. 



atque ex lege continuitatisBCzr f^~ • DEzz p^~rr f 

 ¥Gz=: pj^ !^,r et ita porro. 



§. 22. Ad fi*adiones tollendas ponatur A=r ^!^,^ ; 

 ^^ Fh^ ' ^= ^4=73":+^ ; I^ = f^\f^ etc. eritque 



ii'q-+-r)(p-i-2r);de — (p'-{-2q-\-2r)(p-^2r)' etc. 

 Fiat nunc ^i=/;/-r-i- ^ ; bzr.m-^- |- ; c —m ^ r 

 -h^; fc;;/-H-2r-i-|-; e — m-\-^r-\- ^ etc. in qui- 

 bus fubftitutionibus partes integrae conftituunt progrefiionem 

 arithmeticam , cuius differentia confians eft r , id quod 

 ipfa progrefiio fadlorum illorum pofl:uliit. His igitur vaio- 

 ribus fubftitutis prodibunt fequentes aequationes , ponendo 

 breuitatis gratia />'-{- 2pq- pr^m^ -^mr 

 =z:P, tt2rip^q-pi) — Q, 

 Pag~(w-r)az=:wzg-f- 1 



(PH-Q.)^y-?;/^ = (;«-f-r)yH-i 

 (^-T-^Q^^y^ — ^pfi-^-r^y^im-h^r)^-^-! 



{P4-3Q.)^f-(w+2r)^— (;//-i-3^je-i-i 

 etc. 



F a §, 23, 



