7$ E L E M E N- T A 



S O l tl t i O.. 



Cum 2 fit finKflio qutintitatnm x , r , P ■, ^\ ^ etc^ 

 infuperque ipfam ft)rmuiam integraiem <^—jZdx itr- 

 voliiat , diftercntietnr more folito ac prodeat 



Hinc igitur erit variatio ipfius Z fcilicet : 

 ^Z=L^a) + N^j-+-P^^-H(^''/J^ + R©^-i- etc;. 

 ideoque ob (^ <D ~ SJZ d x — /^ Z dx 

 J(D'-/L'/A-^0-+y^4N^J'H-lff '-4- q'5 -i-RS' +-etc.) 

 Ponamus ^Ozizz^ cura fit id iprum qund quaeritur, et 

 breuitatis gratia /rt^.r ( N ^y + P -^i^ -|- Q.t^/ -+- etc.)i:«, 

 Yt habeatur z^ijhzdx-^-u , et differentiando : 

 dzz:r\^zdx-\~dUi eritqire integranda 



ftatuatur breuitatis gratia jLdx — W^ et habebitur va- 

 riatio quaefita r 



J/Z^A-- f^>- ^^rf'x( KBy-\-V '!i-\- Q'it 4- erc. )" 



i\ defideretur variatio vsque aii datum terminum x^na^ 

 ■ fiatque tum W::=:A ; ponatiff ad abbreuiandum. 

 £^-^N:=(N); f^^-'^P-(P^i ^^-'^Q_~ ( Q_) etc 

 critque redudionibus vt fupra fidis variatio : 



^/Z^A— /^.v^j.((N)'S-4-^^-'-'';i^^-l- etc. ) 



H"^^((R)-etc.] 



Corol- 



