CAICVLI VAKlATlOnvM. 8i 



cafu <D tempus defcenfus per arcnm , qui ablciflae a: re- 

 fpondeat , fitque applicata —y , et FI altitudo celeritati 



acquifitae debita;ac tempus defcenfus erit Oz/^-y^— , 

 pofito dy — pdx, vt dxV {i~\-pp) elementum arcus 

 defignet. Verum ex foUicitationibus crit : 



dU — -XdX'\-Ydy-\V{dx''^d/) 



\bi X et Y fignificant fiindiones ipfarum A-etj^jCtV 

 fLindionem ipfius n , cui refiftentia eft proportionalis. 

 Erit ergo ob dy:zzpdx 



I[-J{X~i-Yp'WVii-hpp))dx 

 ideoque 3 — X-|-Yp-Vy(i4-/>p), exiftente 



V ( I H- p p) 



— V 11 



Corollarium. 



52. Si ad fimilitudinem valorum (N), (P), (Q) 

 ponatur : 



M-i-^-^(A-W)^-(M) 

 crit {M)dx-{~{N)dy-h{?)dp-{-{Q_)dq + {K)dr-\-Qtc. 

 differentiale verum huius formulae : 



Conclufio. 



53- QLiaecunque ergo formula integralis OzjTLdx 



proponatur , cuius variationcm inueftigari oportejt , ems 



Tom.X.Nou.Comm. L -variatio, 



