is6 BE EXPRESSIONE 



[x m ~ l dx{i-x 1l Y~~ 1 m\xn m-\-xn-\-n m+xn+in m-\-xn-\-^n 

 J _ 1 — .— . . -^_ etc. 



Jx m -' dx{i -x n y-*~ l xn xn-\-n xn-\-in xn-\-'n 



\bi numerus fa&orum aequalis eft numero factorum 



praecedentis expreflionis , vtrinque fcilicet infinitus 



zzzi-\-i. At ob i infinitum , eft vti §. 13. notaui- 



mus fx m - T dx(i -x^f^zzzfx^-^dxii -x n f +i quare 



priori forma per pofteriorem diuifa oiietur : 



Jx m ~ l dx(i -x n f l x(m-\kn) (x-\- 1 ) (m-\-k n-\n) (x-\2 ) (m~\kn -\- 211) ' 



Jx m -dx( i -x n )*- l ~~k(m-\-xn) ' (k-\ 1 )(m-\xn+n) '(k +- 2)(m\-xn-\- 2n) 



x n 1 

 ftatuatur iam xzzzzi, eritque Jx m ~ 'dx(i — x n f- l zzz — __ - 



pofito kzti , vnde fiet 



/* v m-i ^ yf 1 _ v i\ft-i— 1 2__+-_^> ^wi-t-fa -f-n) ? (m-^?T-t-2r^ + (m-4-&n-t-3n) ctc< 

 JX UX{1 X ) -mk[m-t-n) {k-h>)[m-i.2ny{k-i-z){m-i-3n){k-i-3){m^-*n) 



Q. E. I. 



Aliter. 



Tracletur fimili modo fbrma §. 16. inuenta, fta« 



tuendo i numerum infinitum , eritque : 

 Jx m ~ l dx{i —x n ) k - 1 _ m-\-kn m-\kn-\n m+kn-\2n m-\kn-\--.n 

 Jx m -*- ln - l dx( 1 -x n f- 1 ~ m ' m-\-n ' m-\- ~~~' m-\- 3 n 



Iam pofito pro m alio numero finito, \x. erit pari 



modo 

 JxV- — 'dx(i-x n ) k ->jk-\-kn \k-\kn-\-n \k-\h1-\2n \ f.-\-kn-\ --in 

 Jx li - hm -'dx(i-x n ) k ' 1 ~ \x. * \x-\-n ' \x-\-2n ' |ji-t-3« 



Cum autem fit ob i numerum infinitum : 



euanefcentibus quantitatibus finicis prae infinitis ; et quia 

 Ytrinque idem fadorum numerus habetur, formam prio- 

 rem per poftenorem diuidendo orietur : 



Jx n 



u~— 



