lo DE RESOLFTIOUE 



b l zz2amna-\-(nn-\-amm)b-\-fimn 9 fi in b 11 pro, a 1 

 valor fubftituatur , erit : 

 b ll zzL2.amn{nn-\-amm)a-\-^ammnnb-\-^a^m z n 



-\-{nn-\-am m)b l -\-fimn 

 at ex valore ipfius b l eft 2.amnazzb l -(nn-\ot.mm)b-$mn 

 quo fubftituto fit ob nn — ammzz.i 



b n zz 2 (n n- f- amm)b l —b fimiliterque 



P 11 =:a(»» + aw m) b 11 — b l 



b iy zz. z(nn-\-amm)b lw -$ l 

 etc 



CorolL S. 



xi. Cum igitur vtraque feries ita fit comparatav 

 tft quilibet teiminus ex birris praecedentibus fccundnm. 

 eertam legem definiatur ; vtraque feries erit recurrens , 

 fcala relationis exiftente 2.(nn-\- amm) 9 — i. Hinc 

 ergo , formata aequatione zzzza(nn-\-amm)z—i^ eiu6 

 radices erunt : 



zzlz 2 nn— i -h -nV(n n— i)~(» 4^ mVa)% 



CorolL 9. 



12. Hinc ergo ex doctrina ferierum recurren- 

 tium progreftlonis a, a\ a n , a m 9 a lw etc. terminus qui- 

 cunque indefinite per fequentem formulam exprimetur : 

 (5 -4r h + & (n+mVay 4(5+ £ - zjr^n-mV*)"- *-* 

 alterius \ero feriei £, Z» 1 , tf*j £ IH etc. terminus quicunque 

 per hanc : 



fiimto pro v numero quocunque integro. 



Scholion. 



