188 VARIAE OBSERV. CIRCA SERIES INFINITAS. 



A+3-KC-KD-f-etc. 



e :=i-K-K-K-H-K-W ctc 



Nam eft 



A-4-}B-r-}C-KDetc. ==/f-K/|-t-/§-t-/2-f- etc 

 ideoque 



a-kb-kc-kd 



• —r^rt^- * -K-K+H-H-W- etc. 



p p r Theor. 7. At non folum B, C, D,etc. habebnnt 

 valores finitos , fed etiam ^B-fKC-f-iD-f- etc. valorem 

 habet iinitum. Quare quo 

 A^KB-r-fC+jDH-etc. 

 e fit =:i-K-K-K 4- etc — c\3. 



oportet vt A fit infinite magnum , cumque ideo eius 

 refpeftu fequentes termini iB-=r-}C-+-jD -f- etc. euane- 

 fcant, erit 



A H-M-H-H-A+ etc - 



e =e ==i-K-K-K-K-r-etc. 



Atque confequenter erit 



l-W-K -fK-KV -KtI -KV -+■ etc 



=/Xi+irHI-+-|-4-f-f-f Hr etc) 

 illius ergo feriei fumma erit infinities minor quam huius, 

 atque cum huius fumma fit zrlco erit 



^-K-K-fK-KV ~+-etc = /. /™. 

 Q. E. D. 



DE 



