530 



Petri Callegari 



§• 1. 

 De quibusdam seriebus. 



^ . In memorato commenlariolo sequens aequalitas demon- 

 strata fuit 



["• -1 r m -1 r m — 1 -i 



1(')-f- . . . 1("+')_hJ= [i(i)-f- |_1(n-PM-^;J^_£-L1(1)_^. . . . ^i(«-p+2)J 



1 .2 



"^ 1.2.3 ..r ^[l(^'-f-...M-1('-''-'-i)]-H , 



in qua elemento /j nullus est determlnatus valor. Itaque cum sit 



[l(1)^_. ..'_HlC'+1)]=[l(1)_H...Vl(A+1)] , 



uli iu primo commenlariolo demonstratum fuit, erit 



(1 ) [l.(1)^_ . . .Vl ('»+^)] = [l (1)-+- . ."."-4-1 (m-^oJ-HY-Ll (')^T^^-t-l (<")] 



1.2 



[l(1)^...^1('"-1)J. 



1.2.3...r L -1- -T- 



Posito n — p-irra^=x , unde n — p=ix — m , ac p=y e- 

 ruetur 



1(i)-H . . ._,.1 ('«-'-i)J = Ll(i)-H . . . -hK^+i)] ^21L10)-h . . . -+-1 wj 



H.ifci'[io,->.r"a(-. v^^7f-^) [i..L;:::;!i(-^,] 



j(j— 1 ) • • • Cr— '--Hi }r. , ,,, '-"■*: 



1.2.3,..r 

 Hinc facto r = in, habebimus 



p X — m-4-r -. 



