DIFFERENTUIJBVS SECFNDI GKAD. 1S5 



multiplicetur ea pcr Vidx^-^-^Qjdxdy-^-^^B^dy^^ stidiQ 

 ftatim habebitur: 



J. prima pars Megralis Vdx^dy-^^QJxdy^^B^dy^ 

 <et integrando relinquitur haec forma.' 



aVxdx * iaQ_xdx^dy saKxd x^dy* 



*~ :^y Yy yy 



vi?dx2 dyj , t m Q.d x dyi . ? wi Raji* 

 "T ■y I ^ J y 



-dx^dy (i-^) ~ ^x V/(g) -dx dy^i'^) -//rdl) 

 -i?:t'V/(g)-,^^^^j^(|^). 

 Haec autem forma integrabihs eflfe nequit , nifi inem- 

 "bra , quae .dj\dy'' et dy* implicant , deftruantur. Pri- 

 mum ergo pro dy* habebimus : 



'-:f^-(j3)r=o, :feu zmKdy-ydK 

 vbi ^x fumitur pro conftante , vnde ;fit R rrKj'^ ** , dc- 

 notante K funftionem ipfiu^ x tantum , ficque ^rit : 

 ( j5) zizy^ ""( jf )• lam pro .deftrudione iterminorum dy^ 

 continentium , fiet : 



jy ^ \dy ) J ^dxj — ^ 



feu fumto x conftante : 



quae diuifa per j' "* •+" ' et integrata dat z 



_J<^ y'r'-H i ( _) - L. 



;Sumta denuo L pro funtflione ipfius x^ ita "Vi (k 

 qj=:L'Lr''-~^J''^-^\^x), ideoque 



Tom.VII.Nou.Com. Aa Deftm- 



