X95 ADDITAMENTVM AD DISSERTAT. 



R da. Pofitis aiitem vr ante Dda—ii-, Y d a—^. 



Cda dC 



et -p — 



d 1 ^^ dQ;~T)Qjfa-f(^da integrabilc fi du- 

 Cfltur in ir^, et Ydz-Qzda integrabile fit diidLim in 

 ^Q. Qiiare debebit cfle HB^YQzz^ ttia—-^ 

 ^t^i^e («±^^|±Mf reddendum eft integrabile: fiet er- 

 go fado HBzrE, R- %^ f(X-4- A) et M-f-PF- 

 f(X-|-A). Qiiocirca in cafu propofito A, X, E 



IdX 

 dx 



Ec/X, 



ei F fi fieri poteft ita dcbent definiri, vt-^f(X-l-A) 

 aequale fiat ipfi M-i-PF. Hocque inuento erit N — 

 ^f(X-hA)-|-Hi?^(^^-P^.v)-i-~if, vndeaequa^ 

 tio modularis reperitur. 



§. :i6. At fi nequidem differentialis fecundi gradus 

 aequatio modularis obtineri poterit • ad difFcrentialia ter- 



tii gradus ent procedendum.Fiet ergo Nzr — ^-^ 



da 



atque hinc pofito dN~sdx-Y-tda^ cvksdx-\-fda — d 

 / ^( y^ ")-M^-y\ j).^tiu. jiu^cm j cx M , cum fit 



sda diffcrentiale ipfius M, quod prodit, fi x ponatur 

 conftans. Q_aamobrem t tantum debebit inucfiigari. Sit 

 ergof — RH-EN-hDQ_-f-C:3, idcoque ^N-EN^<2 

 -^DQj/a -Czda — sdx-^-Kda. Cuni fit autcm (/Q_— 

 N</<^ — M//.V et dz — Q_daz=:Tdx, addantur horum mul- 

 tipla ad illam acquationem , \t prodeat haec acqtiatio 

 <^N - EN^/tf-FN fl'^ -f- Frt^Q-DQr/^-G Q^'^-1-Grt'c: 

 -Cc:^^ = (.f-|-MF-i-PG irt^.v-f-R^^. Sit Eda-{- 



r^ , df Vda-i-Gda d /; ^ Cda db r ^ r t^ 



Ydazzj, — j :zz / ct -^--1^, fiutquc fz=-Yg 



zz.Qh. 



