,4+ DE P^RTITIO.VE 



AX 



—XX ^i-;cXi-l') 



Bl x' 



C — i"^:^^ — (,— xKi— ac')(r^.r«r 



■pj Cj X* 



etc. 



§.-25. Ex his formulis intclligitur , iflas fcries non 

 foliim quoque cflc rccurrcntcs , \ti liipcriorcs , lcd ctiam 

 cocflicicntium vtrinque eandcm cflc lcgcm: Qiuirc fi ncglccflis 

 numcratoribus ponatur : \t fit 



35=(:^:3:Y7=p> B = 33.v- 



^ — (T=3^-!=7iKT=.irj C — ^x' 



etc. etc. 



Partitio cuiusque numcri in partcs quotumquc , fiue ncqunlcs, 

 fiuc inacquales, pcndct a torm-.uionc lcricrum5(/3?>, (£, !i^^ 

 ctc. quac, vti ;uuc oblcriuuiimus, indicnnt , quot vanis mo- 

 dis quiuis numcrus cx aiiquot tcrminis initialibus huius 

 fcrici I , 2 , 3 , 4. , 5 , ctc. pcr •addiiioncm produci 

 qucat. Sic cum fit-B— 33-^*> quiuis numcrus « -^ a 

 totidcm modis in diias partes difpcrtiri potclt , quot mo- 

 dis numerus ti ex numeris i ct 2 pcr additioncm pro- 

 duci potcft. Simili modo cum fit Cr^^.v', numcrus 

 n -f- 3 tot modis in trcs partcs difpcrticrur , quoc modis 

 Dumcrus w pcr addiiioncm cx numcris 1,2,3 com 

 poni poterit. Atque gcneralitcr numcrus ;; -f- m tot va- 



riiii 



