66 DE SERIEB. OFIBFSD. CONSIDERAT. 



ininus maiieant reales et finitae , imaginaria fefe deftru- 

 ent. Qiiamobrem iniieftigari conueniet , cuiusmodi quan- 



titates reales in his formis j^7l:^ et ^j^"^,^ contine- 

 antur. Ad hoc ponamus uzzzjj^^^^—^ cntquQ Jin. A.ttV 

 — qzn ^-^— et TT V — ^ = AJin . - jp'^ j fumantur differentia- 

 lia pofitis 7r et ^^ variabilibus , habebitur diz zz i^^^. Po- 

 natur f^zziTr^' , prodibit ^7:==: ^y~^^) et tt = ^^ 

 l^^t±^, Hincerit e^^^^c^ n;^—V q-hVi^^^vv) et 



V zz: -;^j— — atque« — -7:^-7,— — . Conftans autem <^- ita 



debet eife comparata \t fa^flo 7rz= o fiat icizi ex quo fit czzi 

 ^ irV-q ^^'"'^'^izVq 

 Quamobrem erit 7 — r — -} — = — -=77 .Similimodo 



ponatur ^—^=73^ = ? erit vV-q—tang.k.V-qti mV 

 — -^— A tang. vV — q^c difFerentiando ^tt — -::lj^,^. Inte. 

 greturdenuo, erit 7r~ -^y^ / 1~^ et ^''^v^i — ^^^v^^yV^— 



i-h^i^y^, vnde fit '^^^p^Trj^TTjy- ^^"^"^ 

 7rV~^ (^^^^^-^-f-ijTrV^ 



§. 17. Nadi igitur fumus odo fequentes feries , qua- 

 rum iiimmae affignari' pofiunt , quas cum fummis confpe- 

 £lui exponemus 



a— i> _ +— ^--T-^— ;^ "T ,6~p-r J5_p ^'-'- ipjjn. AttVP jp 



ctc. 



3 — ? •" 4 — /> "• i — 1^ *" i^ — p '" 2 5 — p ^ "*''" — ip ^ptang-A-TX-^p 



H 



