'^6T)E METHOW BlOTHJKTEJE ANJWCA 





hiDcqiie propterea 



— OddCt , qlQq- 



VL 



Vel fiat /*^ rr N, vt habeatur x-^^tr. fxd^ 

 ^ JqqdN — qqN — ^Jlsi qd q. lam ponatut 

 JNq d q-Q^ exiftente Q^ fundione quacunque ipfius q^ 

 «que erit N r= i^. ,iN=: f^^J - f^^ 



vnde fiet j +^ = 2|^- •-2||S--(- 2 q 

 Quamobrem nancifcemur has formulas : 



gddCL dQ. 



* dg* *" d q 



„ (^*?— O daQ- i^^ O 



J' 7dq*- ■ dl -T- Vi 



^ {qq-+- >)ddQ,__ ai^ I.O 



* rdq* dq ~r-\i. 



VII. 



Ad alias formulas inoeniendas ponamus : 

 Jx=z tipdu j dy -zz duipp-x) tt dz -^z du{pp -^-i) 



eritque : 



xz^ ^Jpdu^y-^-z — z fppdu; z-yzz^u 



ergo quaeftio ad has duas formulas reducitur : 

 Jpdu=zpu -Judp \ Jppdu — ppu- vijupdp. 



Sit nunc Judp — M, et fupdp — N, erit : 



dn dN . 1 dH i^ dMddfi — dyidin 



U^Tp= pfp^ ideoque p-^€tdp=z aK' 



, dHl . z»-j> 



Tuae u — iti^dd^dHddn. — • 



Porro 



