#li DE VARTITIONE 



I5~I-f-2-+-IO 



13 — I -f-4--H8 

 13 — I -+-5 -i-7 



i.3 = 2-i-3H-8 



1 3 = 2 -f- -f H- 7 



i3=ff-f-5-+-<^ 

 1 3 =r 3 -h 4 H- <J 



Iftn igitiir feries C in intiTiitiim continuata nifcmict oraoi- 

 biis nnmcriii in tres partcs inaeqiules. dirpcrticndis. 



§. 10. QiiantitAS porio D, cuni contincat omnia 

 producta cx quaternis tcrminis inaciiniililnis ferici : 

 Ar=:.r:'-f-.v*-+-.f '-j-.v*-!- erc. conllabit fcric potclh- 

 tum ipfius X , quanim cxponcntcs (int aggrcgat.a quatuor 

 numerorum inter (e inacqualium ; ct in hac lcrie quae- 

 libet potell.is eiusmodi h.ibcbit coefficicntem , qui indicar , 

 quot \anis modis cius exponcns pcr additioncm quatuor 

 numcromm intcr lc inacqualiiim rcfiilt.irc poliit. Rcpe- 

 rietur autem : 



Dzr.v'VA:''4-2:»:'*-i-3.v'V5.v'*-f <J.v'*-f 9.v"-M i.v"-h ctc. 

 Haec igitur (eries in infinitum continuata ofknJct , quot 

 variis modis quisquc numcrus pofllt c(Te (iimma quatuor 

 numeronim inae(]ualium. Kx tcrmino quippc 9.v'* co- 

 gnofcitur niimcnim 16 noucm moJis in quatuor partes 

 intcr fc inacquilc. dilhibui pofTc. 



§. II. Si hoc modo vlrcrius prngrcdiamur , pntcbit 



littenim E f()rc (cricnv potcditum ipfius .v ita compara- 



tam , \t cuiusuis tcrmini cocfTkicns indicct , quot variis 



.3V m(Hiis cX{KTncns ipfius .1* in quinquc partcs inacqualcs diflTc- 



cari pollit. Hrit aurcm : 



E^A-^+.v^+sjc^-f^x^-f^.v^-l-^.v^-l-io.v^-fiSJi-"-^ etc. 

 Simili modo valor iitterac F erit fcrics pnrtitionibus in (cx 

 partcs inacqualcs in(cmicns , ct littcrac G, II, 1, ctc. 



pro 



