^70 



r-.n^ 



-HL- n («-f-a— 5|3) {n^zct—$g>) («-+-3«— 5f^)r«-^4a— 5f3)' 



il!-^. n(n-^-ct- 4(3-y) (« -+- 2 a-^p-y ) (« -•- 3 a-4(3--y ) x 



• •' . ■•' X («-+.4a-4(3-y; 

 i£Jll-'"-!;;(«-+-a-3r5-2y)(«-+-2a-3p--2y)(«-K3a-3(3-2y) xl 



X («-+-4a-3p- 2y;\ 



!.^£'«(«-f-a-2p-3y) («-+-2a-2|3-y) («H-3a-2(3-3y) x/ 



X («-f-4a— 2(3 — 3y 

 a-(3-4y) («-+- 2a-(3-4y) («-+-3a-(34-y; x 



120 a* ^ 



(«■ 



■4a-|3-4y) 





« («-(-a— 5 (3) («-+- 2 a— 4P) («-f-3 a— 5 (3X«-+-43C— 5 (3) 



rnJc formatio omnium fequentiiim fundionum futis dilucide 

 perCpiciair. 



§. 25. Quodfi i;un omncs ifti valores, quos pro fun- 

 «flionibus f'':n; j'^'' : n ; f^''^:n, etc. elicuimus, in vnam fum.- 

 mam colligantur, et ob f^ : « ~ i vniras praefigatur, obtine* 

 biiur ferics defiderata, quac fcilicct valorem potelbitis Z" ex- 

 prin it, neque ergo opus clt omncs illas fundiones hic dcnuo 

 colledas refcrrc. 



Corollarium. 



Hne cr^o feries infinitis conflant terminis, in quibus 

 omnes poflibiies binarum littcrarum R ct C conibinaticncs oc- 

 currunt. Quin e^iam pro con binatior.e quacunquae, quae fit 

 B" C% in gcnere termious eam inuolucns aflignari poterit. Pri- 

 iro ei.im ifhi forma multiplice^ur per numerum omnium com- 

 binationum, qui pofiro brcui a is gratia /'-f-r — /, fi indi- 

 ce ur lit'cra N, crit vti conflat N— — i.^ 3.4.. . . ; dein- 



' 1.1.3. ... 6. . I. ... c ' 



de fi ponamus ^(3-t-^y— ^, erit terminus huic formac rc- 

 Ipoudeus: 



