FORMVL, DIFFERENTIALIVM. i6$ 



+ (P'1 +P1') (^) 



'd TT' 



^d 2i 



+ w+pf) m ""' 



23. Ex aequatione igitiir iam propofita , Ta- 

 lores litterarum L, M, N etc determinari potcrunt 

 ct primum quidem habebitur : 



^^^n)=&+p (L^.-)+? i'^;>+r (U^) 



+P'('S)+9'(.m^) + r'{U^) 



~^ ^d x*''^ ^dxdy' 



+l"(.S^) + r'(.^J) +etc. 



+PP'i'dr.)+r"i^') 

 +r'Hi^) 



+5* <-U)+r' (2-f H/' (fi) +(P1'+P'1)& 



+r" C^^ + s"^'^) + etc. +(p?"+i)'?')(j|ji) 



+ ^"'{^) 



Vnde in vfum vocatis aequalitatibus §. 21, allatis 

 obtinemus : 



L=(f^)+/'(f|^)+?(j-^)+'" (l^) 

 +P'(|^J + 9'(|^) + '-'(.^,) 



+ ?'(f4^)+^"(r,l^)+etc. 



+l"il^'+r'L^) 

 +PP'i'^)+r"L^:) 



X 3 ^q' 



