MAXlMORm ET MlNlMORm, 125 



Cum vero fit 



J?dxSp — ?$y-f5 rd? 



/Rdx$r~K'-!i^-'d^dK^li.ddR^fdd'R 



etc. 

 eliciernns variationem dilferentialem qnaefitam 



SfZdx=Jdx^}i{H-Wrv-Y^T,^)^'-^lf^^'2 



+ ^^i=^^^-etc.) 



-v-g((Q.-va-V'',ao-'-^=^'^-etc.) 



• 4-'-di-((R-V9t-V/9tO-etc.) etc. 



CoroU. I. 



Ponamus breuitatis gratia : 

 N-WTi-W'^''!^^^)-^ P-V9>-V^^''— (P) - 



Q.-va-™v/.oy-(Q)etc! 



ac rehtio iiidefinita inter x etj exprinietiir hac aequa. 



tione : 



(^J- d^-\--dT' -d^j--l-etc. = o 



quae tamen iam inuoluit terminum pracfcriptum ;i;~rf 

 quia formnhie integrales V:^/L^.v, et V^— /LV.v ita 

 funt captae , vt euanefcant , pofiro x::za, 



CoroU. 2. 



Cum autem integratio huius aequationis , fi fue- 

 rit differentialis , confiantes arbitrarias inuoluat , fi et 

 hae detcrminationi noftr.ie relinquantur , vt Vormula 



Q, 3 JZdx 



