30 METHOLVS AEQrATIONES DJFFERENT. 



i ^^^^-^: (rin.iLvfin.Cl)>-*'^^-'-^X^.vcor.a-fiii.(J)-cor. a-fin. <Pfe-^'''^-'^KdxC\n.k.xfm<p) 



quae etiam hoc modo exprimi poteft : 

 a gfc^-'-^ C^fDJcof. Lxi\n. Cp-j-D^ fin. ^tvfin. Cp)>-*'"-^-^X^.vcor. ik.vfin. (J) + ^ 

 S)J'-i-9^7,S9?fia. ^vfin. (p-dlcoC txCm. (^jJe-^^^^^-^XdxCin.kxCm.ip S 



Hacc ergo pars intcgnilis oritur ex formulac 



P = A -f-B z -h C z *-i-D z ' ■+- etc. fadlore triuomiali 



zz— 2. kz coC (p -^ kk. 



§. 11. SimiH modo fi bini huiusmodi fi<flores tri- 

 nomialcs fucrint iuter (e aequalcs , fcu fi fi^rmula 



?~A-{-Bz-\-Cz'-\-Dz'-\-Ez*-hctc. 

 fadorem habucrit ( zz— zkzcoC 0-{-kk)' , pars integralis 

 Iiiuc oriunda rcpcrictur cx formiilis pro binis f!i(ftoribus 

 fimplicibus acquahbus fupra inucntis rcpcrictur. Funatur 

 nf-mpe 

 ^'-C-{-2T)kcoC(P-{-6Ek\or 2(p-\-io¥k'coC ^CP-hctc. 



ffl — sD^fin CP-h^t/kMn.sCpH-iolr/kW^Cp-hctc. 

 entquc intcgralis pars hinc oriunda , 

 j ^krco(.j> ^ dS^'coCkA-Cm Cp^ fH^Cm.kxCm (pfdxfe ""^J-^^XdxcoCkxCm.^P+^ 



^IM'-^ ^'^' l.^'Cm.LxCm.^-f^'coCLxCm.(Py.xje-'''''''-^Xd.xCm.k,xCm Cp S 

 Sin aiiRm trcs fi^orcs trinomiales radiccs imnginarias coa- 

 tinciitcs ficrint intcr Ic acquales , (cu C\ formulae 

 P- A-+-Es-i-Cs'-f-D2'-i-Ec*-hFs*-i- etc. 

 (aoor futm Izz- 2kzQoi.(P-\- kkf Ilituatur 



