10 METHODVS AtQyATlONES DIFFERENT. 



tct qiuilib futurus nt valor ipfuts j, fi radicum a , b , v , 6 

 quacdam fiicrint imagiir.uiic vcl intcr lc acqualcs. Lon- 

 tra vcro potius cx valorc ipfius .r cognito intcgralc fupc« 



I 



AppArct quidcm huic aequationi fatisficri , fifitiino ct u 



ladix huius aetiuationis : 



A-4-B«-+-Cu'H-D«'-4-F.«* — o. 



Sit ergo ^ vni cx nidicibus huius aequatit)nis , et fumcn- 

 do n=zcL, erit 'y^^adx tt yzzie''^ qui valor quoquc 

 acquitioni difrcrentiali quarti gr,\dus propofitac conucnict. 

 Erit autem tantum intcgralc maximc particularc • ctuima 

 autcm quatcrnac acquationis A-i-B«4-Ci/'4-D« -i-E« _o 

 radiccs , quac fmt a , S , y > ^ ' fuppcdituro qucant va- 

 lorcm _ -^ r^ 



qui eft intcgralc completum , tamcn hinc non facilc pa- | 



rioris acquationis ditlcrcntio diffcrcntiahs^intcr u ct s alli- 

 gncibitur. Erit enim « = ^^^ et j = ^^ i idcociuc 



Hinc conclnditur fore : 



-i-^rav-^-^s^^sv^^-^rvv-^^-i-!^''^^^^ 



quac fraaio dcprimi potcft , critquc 



t-^ 



