124 DE nx PRES SIONE 



Solutio. 



Cum fit fx*-'diii-x*p-*- *-^jx«-<dx(i~x n '? , 

 erit ponendo m et k pro a et y : 



jx m ^dx{i -x^ — ^fx^dx^ -x n f 

 fi nanc rnaoente azzzm ponatur y — ik-f-i , erit y 

 muito imtgis numerus affirmatiuus, cum k fit talisj ideo- 

 que pari modo habebitur 



fx m ~<dx(i~x n fzzz^^fx m - i dx{i--x n ) k ' + - t 

 ac pari modo progrediendo , ent 



tx^dxd-x^zn^^^fx^dxii -*»)*+- 

 Hinc ergo ingenete concluditur fore, denotante i nume- 

 rum integrum quemcunque : 

 fv^-^dvi i-r"Y'' 



J y J m-+.fert m-f-fert -f-Tt m-^-bi-jhjn m-4-kn -^-sn m-f/^-f.z?i 



fx m "dx[l-X n ) k ~ + ' t — ~~ ft?I * fc«~H» * *a-+-z* • kn-^m "" k-+-ln~~° 



Q. E. I. 



CorolL i. 



15- Cum nt/^^Vj(i-^} fe -'=/^-V.v(r-x 7l )'^ideoqueetiam: 



m — n 



fx m - i dx(i-x n f+ i —fx kn ^- k - + ' 7l -' 1 dx(i~x n )~^ f erit quoque 



m-ri 



/V* n ~ x d V ( 1 — Y n ) ~ 



J_ _____ _J ~m-f_ft* ^______-n __-f-_n-f_« m-f-^n-t -h 



, wi-« fe/» • kn^n * kn^ 2 nn " " " " kn-t-in 



fx kn -^ in ^ n "dx(2 x n f^ 



Coroll. _; 



16. Si hic ponatur kn~\L ; et ftrrsr, feu mzzxrtr 

 ita vt iam p, et jr fnit numeri afftrmatiui, habebitur 

 baec redu&io ; 



