FORMVLARVM DIFFERENTIALIVM. 21*7 



adferrc fuperuacnneum eft , pro quacunquc cnim 

 nuiltiplic.Horis forma , opc acquationis §. 23. alla- 

 tac , tot acquationes inuenirc licct, qiiot rcquiruntur 

 ad iprum muitiplicatorem perfcde dcterminandum. 

 z6, Tranfeamus nunc ad formulas differcntialeS 

 \ dx \tx comparatas, vt fundio V praetcr x, bina» 

 alias variabilcs y tt z cum earum diffcrcntialibus 

 qaibuscunque inuoluat , pofito difFercntiaii dx con- 

 Itaiue, Sit \ero ex huiusmodi formularum numero 

 propofita (equens 



quam examinare oportet , vtrum integrabilis (it nec 

 Be ? Si igitur fttatuamus ij — /j^ |^ — ^ , atquc 



dV zzlAdx^Kdy-\-Vdp 

 ndz-\-^di,* 

 habebimus pro noftro cafu , 



M — 4,^ - izii^^ • N = ^- - ^ ; 



Qiiocirca quum pro integrabilitatc formulnc propofi- 

 tac, binis lcqucntibus acquationibus latisfacicndum fit: 



N-i|- = o;3?-J|r:o 

 taloribus fubftitutis , omnino patet has conditioncs 

 perfede implcri , vndc ccrto indicio conftat formu- 

 lam noftram intcgrabilem cffe. Erit fcilicct 



t-^^d.^-o et £_->_-</. 5L— o 



XXX X XXX X 



Tom.XVI.Nou.Comm. Ee Ipfum 



