ANALYTICAE. 179 



Illa autem feries 2 in plures formas transmutari 

 poteft , veluti 



2-/2-3/5-4-<J/5-io/H-i5/f-2i^S-t-etc. et 



z~/;^+4/;-r:-i-9^H-i--^^^:-r:'^^5^rri-' ^^^- 



-2/!^-d/^':i- 12/^-^-20/'-^ — etc. 



2. 4- 4. 6 6- * ». 10 



Si enim in genere ponamus 



2 = a/^-^-§/^-^4-Y/---^/-6+«/-',-^/Hetc. 



cfle debet aa + Srz^ hincque §z= 4— 2a|^z::i8— <J« 

 a4-2S+yzr;9 y— i+3al >i=:r 9+7* 



e+ay+^^^KS ^:=;io-4a!d — 28— 8« 



Y+2(5^-fe— 25 eiz: 4+5ajerri5+9« 



hic Tero fumfimus a = i , Yt progreffio maxime 

 fiat regularis. 



p. Haec pofterior forma maxime ad inftitu- 

 tum noftrum videtur accommodata , quoniam loga- 

 rlthmi in feries conuergentes refoluuntur. Hunc iti 

 finem pro terminis pofitiuis hac refolutione vtar ; 

 cum quilibet hac fbrmn contineatur 



4X3C — 1 ^ ♦j:«' 



inde nafcitur haec feries infinita : 



X X (- — 1 '—2-\ — h-d-l — TTJ H- ctc.) feu hacc 



b-^2Tr*' h^^rr^' ^*"+Ttt- r«~^7fro- '^ -H etc. 

 Pro termlnis autem negatiuis forma generalis eft 



2 2 quae 



