s^z DE PARTITIONE 



■clulii : conftibit ferie poielV.itiim ipfitis .v , qiiirLim cxpo- 

 iientcs fint a^grcgata quaiiior niimeionim , liuc ;icqiial din, 

 fiijc inaequ.iliiun. In huc igitiir fcrie qiiaelibct pocel\as 

 ipfuis .V einsmodi habebit coetHcientcin , (]ni indicet , qnot 

 yariis modis eius exponcns pcr additioncm ^ nuineroxum 

 refultare poirit. Repcrictur aiitcm hinc ; 

 Dzz;v^-|-.v*-^a.v'^- 3.v'-+-5^"'-4-4.v*-h9.v'°-f i i.v"+ etc. 



Haec igiuir (erics in infinitum continuata oftenilet , qiiot 

 variis modis qiiilibcc nnmcrus in quatiior partcs dilpcrtiri 

 polfit. Sic cx terniino 9.v'° concluditur mimeruni lo 

 iioncm modis in quatuor partes dilpertiri polfc , quae 

 partitiones limt : 



lorr I H-i-f • iH-7 

 ;ioir:i-|-i -1-2 -{-6 

 ;ior:ri-+-i-h3-+-5 

 JO~i-|-iH- 4-1-4- 



ion:i-f-2-|-2-}-5 

 lorzi H-2-i-3-h4 

 iom-l-3-i-3 -+-3 

 iorr2-f-2-i-s +4 



10— 2H-2-i-3-+-3 



,§. 24.. IIoc modo vltcrins proccdcndo patebir, littc- 

 ram E forc fericm potclhitum ipfius x ini comparatam , 

 vt cuiusuis tcrmini coellkicns indicet , quot variis modis 

 cxponens ipfius .v in quinquc partcs difpertiri pofllt. EriC 

 autcm : 



E^-^+^tVa.v^+^-v^+S-v^-f •7.v"'4-io.v"-f-i 3.v"-h etc. 

 Pari modo valor littcrac Y crit fcries partitionilnis in fcx 

 partcs inllr.iicns , et littcrarum G, H, I, ctc. valorcs 

 pro partitionibus in partcs lcptcm , o(flo , noucm , ctc. 

 yalcbunt , crit autcm ; 



