20 METHODVS JEQJUTIONES IDIFFERENT. 



fitqiie ?''— ^{z-\-y){z-\-$) xr-f-e) etc. 

 manifclhim crt aequationcm \ltimo inuentam denuo red- 

 di intcgnibilcm d multiplicetur pcr e^-dx^ fit aequatio in- 

 tegnilis hinc oriunda hacc : 





C^ . , — ^ ) 



-+- dx^ ^ ^ dx"-' J 



fietque ex comparationc terminorum homogcncorum : 

 k''—yAf" 



C^=yC^^-+-B' 



etc. 



Quare fi poiiatur : 



V'^' — kf''-\-B'''z-^Cz-\-T^'''z^-\-. . . . -f As*"^ 



erit V^^-<y-\-z)?'"ci?'''-^ ^^ — (.^-«'u-HeH ^-H-w 

 Tndc fcquitur fore : 



?'''-c^{z-^h){z-^i){z-^^,) etc. 

 Cum autem fit gcncrahtcr Jc^'^-"'' dx Je^^Xdxz^: 



— /(? ' * X </Ar H- 7!.^ Je '^* XdXy fi hinc intcgraiia re- 

 ducantur rcpcrictur. 

 g-ax ^-c* g-yx 



$. 12. 



