= Cio)=. 



Eiiolutio quinta. 



§. II. Vramur hic cadcm reroliitione in fcricm ipfins 

 rumeri .v, fcd cam alio modo adhibcamus. Scilicct cum pofito 

 I X — u Cit 



X =z I -^ u -h l u u -\- l it^ -i- ^^ u* -t- H5 u^ -f- etc. 

 erit formulac noftrae ipfa pars prior 

 I — I 



I — X u -{- i u u -\- l u^ -i- i? «"* -h 120 u' cic. 

 I I 



u I -\- i u -i- u u -{- 24 u' -f- etc. 

 Hanc fradionem: 



T 



1 -\--iU -\-\ u H -\- 2':, u^ -4- etc. • - 



more folito in icricm rccurrcntem conuertamiis, quae fit 



I — Au -\-V>u u — C u^ -\-T> u^ — E «' H- ecc. 

 eritque facfla comparatione: 



A — \ . ergo A zr \ 



Brr^A — ^ B 1= ,'. 



Q — \V> — \K-\-h C=zo 



D m ^ C — I B -1- .'4 A — -,:, . D = - ;i, 



■ E zi:: i D — ^ C H- .'^ B — r:-3 A -4- ,1, ''_ E 1= o. 



§. 12. Hac igitur fcrie introduda ct loco u rcftiruro 

 Valorc /.v, formula nollra -l—-\-^^~y fcqueutcm induet 



formam : 



^ = — » -f- A — B « -^ C f/ .7 — D z^' -+- crc. -4- i , fiue 

 .^^ .y zn A - B / .V ^ C ^/ .v/ - D (/ .v)^ -h E ^/ .v/ - ctc. 

 vnde cum in gcncrc fic 



