QFADRATFRAS XOMPARANDL '89 



crkque azz-^^ et «S^rrVCCp-f-yy); 

 * ficque quantitates p et y arbitrio noftro relinquuntiir. 



5. Statuatur ergo y=:A, et p~Akk, m \t k 

 fit noua quantitas conftans, a noftro arbitrio pendens ; 

 eritque 



'azz:'-Akk,:y—A,et§ — VA{A-\-Ckk) 

 et aequatio canonica , noftrae aequationi integrali iatis- 

 fdciens , erit : 



o ziz - A /^i -4- A (xx -^jj) -4-^^j/yA(A 4-'Cfefe) 

 r seu j -z. y ^ 



-^y V(A -t- C fe fc)-f- feV jA^Cyy) 



<€t A-n: :7x • 



6. Si ■/(A-f-Cjj) negatiue capiatur , itemque 

 vy A, tum huiiis aequationis difFcrentialis 



d X _dy 



tV(A-|-C3cx) — ^/{A-^'Cyy\ 



;lntegra'lis erit : 



. o ——Ak k-hAixx -i-jy) —■& xjVA (A ^-Ckk), 

 Ideoque 



, -£«V(A-HCfefe)-feV( A-f-Cxx) 



■Vt\ J^ -^x 



.■yV(A-4-Cfefe)-l-feV(A-f-C22) 



Tel X—'' ^VA ■ • 



7. Qiiia ergo aequatio integralis conftantem in 

 ■fe compleaicur fe, quae in differentiali non inell , in- 

 dicio hoc eft, integralem efle completam ; ficque diflfe- 

 rentiah nuUa alia fatibfacit integralis , nifi quae in for- 

 ma inuenta comprehendatur. Atque haec -eft inte. 

 gratio principalis, ad quam relatlo inter x et / alfunrtta 

 |)erducit. 



Tora.YII.Nou.Com. M 8. Hinc 



