38 



«CWig^P— 



2 . Slt n =: 2, et ob (j) — 2 et Q) = i, erit prior series 

 rz: 2 — I ~ 1 5 posterior vero series dat i h- | n:: ^. 



3°. Sit n ~ 3, ob (j) zz: 3 j (^-) — 3 et (0 ~ i, prior se^ 

 ries dat 3 — ^ -+- ^ ~ ~ j posterior vero series pracbct : 



4°. Si n ~ 4, ob (f) == 4 ; Q-) 1= 65 (p = 4 et (p = i, 

 prior series dabit 4 — |--h|-— i~2-t-^ — ^; altera vero series 

 dat i-+-|-^^-hJ, ciii ille valor est aequalis, ob i-|iiz5-k^. 



5°. Si n=is, ob(j)z=z55 (P- 10; (p~io; (D- 5 

 et (g) zi: I, erit prior series: 5 — -|h- ^ ~ 4 ■+" 5 ? posterior vero 

 dat i -+■ i-^ l-^l-^ l") <l"i valores calculo instituto accurate eva" 

 dunt aequales. 



Simili modo erit quoque : 



Item erit 



Singulis enim terminis subtractis remanet : 

 6 — ii-4-jii — 9 -*- ^ — i^ ziz o. 



C a s u s IL 

 quo c — I 



§.15. Hoc casu erit prior series 

 G) - i (P -+- I (J) - ^ (P -+- i Q) etc. altera vero fit :' 

 (1^_J) H- I (!lr:Li) -+- ? (irii) -+- 1 (Izii) etc. quae in has duas. 



resoluiUir: ^-f-^-f-|-f-J-+-|-»- etc. 



■ — i — I — I — I-— I — I — etc. quae eo usquc 

 sunt continuandae, quoad supcriores termini unitate fiant mino- 

 res i huic ergo expressioni prior series semper erit aequalis. 



