DE COMBIXATIONIBFS 83 



S ^_; -_f_.J_ ( -.<'.+--; 7 -;r»— /i 9 -'i ,c -t-'."-+-i'*-';" 



.-. 



S — I _, 1 _.t_ f : n 5_ | _.. > 7_, I s)_ n <o_ n ir_,iri_ t _ :lv r4_ f _, l i«_ u :9. n 5o_ H .5« 



etc. 

 Atquc cx his deriominatoribus intelligitnr , quomodo in 

 fingulis fcriebus quisque terminus ex praecedentibus compo- 

 ni debeat, fi praecepta , quae deformatione ferierum re« 

 currcntium habentur , in fubfidium voccntur. 



§. _3. At cx forma cxprcfTionum pro littcris a, £, 

 Y,<5~, ctc. inuentarum , qua quaelibct efl: productum cx 

 praccedente in nouum qucmpiam facTorem, alius deduci- 

 tur modus fatis idoneus cx quauis firie iam inuenta fe- 

 ricm fcqucntcm inucnicndi. Sic, cum ferics a. __: —^ 

 fit progrcflio geomctrica 



a. — n -f- n* -f- n -f- n* -f- n s -f- n 6 -f- n 7 -f- etc. 

 ex hac rcperietur fcrics & , fi ca multiplicctur pcr t^t^, 

 vel fi multiplicctur pcr hanc progrcflioncm geometricam. 

 n* -f- n* -f- n -f- t* -f- n' 3 -4- ri* -f- ri* -f- etc. 



Ex ferie porro 8 hoc pacto inucnta , fi ea multiplicctur 

 pcr ^ i —n-\-n f -\-n' > -\-n' 1 -\-iV s -\-n u -\- etc. 

 producctur ferics y. Haecque multiplicata per 

 ,-_£* _= n + -f- ri -f- « ,2 -f- »' 6 -f- « lD -f- »'♦ -f- ctc. 

 producct fcricm $. Atquc it.i porro fcricm ciiiusque or- 

 dinis multiplicando pcr certam quamdam progrcflionem 

 gcomctricam reperietur fcrics fcquens. Hocque paclo 

 non difiTcukcr has fcrics quousque libucrit , continuarc 

 liccbit : atquc fic problema fupra memoratum a Clar. 

 Naudaeo propofitum r< foluetur. 



§. _+. Facilhis autem quaciibct fcrics cx fc ipfa ope 

 pracccdentis poterit continuari , fi ad modum refpeciamus 



L 2. quo 



