C V R V A R V M. 65 



Theorema 5 . 



35. Huius aequfltionis ditfcrcntialis y-^^^^^T-a 

 = TiT^TT»"'' intcgrale completum cft : 

 o—-ff-\-2cf, xx-^yyya\x^-^j)-\-zccxx}j+^gxxyy 



{xx-{-yj^-\~^cgxy 

 vnde fit 



^ C/-KC y-4- -f g.y^i^ jyJi':^ -t-ffj) (/-f- ey"} 



Scholion i. 



37. Probabilc hinc \idetur etiam huius ae- 

 quotiouis difForcntiaHs : 



dy^ (fx 



jitquc adco huius latifhmc patcntis : 



dy d X 



ad qiiotcunque dimenfioncs variablles .v et j in vin- 

 culis radicahbus aflurgant , acquatioiiem dari iiitc- 

 gralcm complctam algcbraicam, Hoc cnim aflcr- 

 tum non fohim vcrnm eft oftcnfum , quando po- 

 teftates iprarum x ct j quartum ordinem non (u- 

 pcrant , icd ctiam cafu fi~6, vti vidimus, priorum 

 formularum intcgratio complcta algcbraicc iucccdit. 

 Interim tamcn nullus adhuc modus patct pro cafu 

 ;; — 5 intcgralc complctum acquationis ^:j_^_^yS) 

 ~ vfz-Hga») exhibendi , muho minus id ad cafus , 

 Tom.XlI Nou.Comm. I quibus 



