FVncTlONVM. 20$ 



eritiV-^=P( **-«?'). Statuatur *-^-s, 

 vt fir dVzz v -^--\-?dz: iam fpe&ata z vt conftante* 

 erit /V=~-hQ:s, ideoque 



AL 



V= * n <!>:(»*— wv). 



At fi debeat eflTe VrrOTP^H-»^, ob Q=^=^V 

 crit dVz=z?(dx--^) -\-t£ . Sumtm itxx-ti0z*s> 

 vt fit x-V^^ , et cum fiat: 



(pectetur quantitas z vt conftans, et ob jtv- ^ v(nzz-^™ry>> 

 erit ;V = ^/(jfyiffff + VH(a* + »fv^))-+-/Z,idc^ 

 que ob V»(5;s4-;/y7)rz:«A: > prodibk : 



r 



Vz=(j/yw-f-Ary«) V/nn 0:(«jca;-f»vv). 

 Quare fi effe debeat V = P y -+- Q* , eiit : 



V=(r^jO^ (**-.*>>• 



Problema autem fequens omues. buiusmodi cafus fn fc 

 complectetur* 



Problema ig. 



J$. Si p fit funel:ia quaecunque data ipfirum x 



et y y at M fimdtio quaecunque etnam data ipfaium X, 



y et V, definire mdolem functronis V , vt, pofte 

 dVzzFdx-h-QJy, fiat Q=Pp-t-M. 



Solutia 



Subdituto hoc loco Q valore , babemus t 

 dV = JSldy -4- P ( dx-l-p dy ), 



Cc 3, Qiiao 



