80 METHODVS GENERJLIS 



•~b_ ^ h_ tt 



-f-___r _Lif__. Ex hoc fimul apparct , h plu- 



( ae—bc)[ag—bj) 



res fuerint facflores in termino gcnerali , quam formani 



habitura fit fumma. Sit enim tcrminus gcneralis 



.v'' 



crit terminus fumma- 



iaJi-{-b]{c-n-\-e){Jn-j-g' {hn-\-k) 



I b € t_ f ^ - !l 



torius sz^: — ■ Jx^'" ~ Va'/.v<^ ~T~ ' dxjx^''- " ' 



acjhx-^ 



—bb_ n « 



, r r j /i-r", ax ^Jx^dxi^^) 



{ae-bc) ( ag-bj ) [ a k-b h ] 

 c^r^Jr^xii^) ^ Jx~fjxhx[i^^ 



-X \ 



[bc-ae) [cg-ef] [ck-eh) ^ bj- ag ) [ej-cg ! [Jk-gk) 



k k 



kx '>Jxl' dx[^^) c- j r. r 



■^ L '-^ _. Si defideretur fumma ca- 



bh-ak){eh- ck ' \ gh -J k) 

 fu, quo x-i. erit pro termino generali [an^bysn-i-e^ij l^) 



Jdx[^^]Ciaef-bcf\x7-\-[bcf-a 

 termnuis fummatoruis s—i iLrjLlll^J. ±_ . - — 



ae—bc] [ ag—bj ) [ cg—ejj 



e 



b 



^•p-W ^(^^■(r-aef]X'' ) r^ ■ . ■ ... 



ji- ^ — i- — -. viuoties igitur quantitas ui dx 



n 



/Lr£-) dud:a dividi potcfi: pcr i— .v tnnc progreffio 

 propofita algcbraicam habct limimam. Accidit lioc fi 

 ^ — 7 et l-—j- funt numcri integri. Praeterea hoc etiam 

 eft notandum omncs huiubmodi progrcniones vcl algc- 

 braice efle fummabiles, vel a logaiithmis fuic rca- 



iibus 



