i 3 S CONSIDERATIO) AEQyATlONlS 



quarum vtraque per 2 xd z -^ a zdx multiplicata^ 

 j^t integrabilis ; illius cnim integr^le erit : 



Ax^^-^^dz^+aA J^«-*-' z.dxdz^-ir C x<'z.z,dxzz Zdx 

 l)uius verjo 



A x^-^' dz\-\-, a Kx^zdxdz + i a^ A s^""' zzdx!:^fdx%. 



XV; Summa ergo harum duamm aequatio*- 

 num eodem fa<3:orfr integrabilis reddetun Scilicett 

 haec aequatio : 



(A a;«^-' ■{'Dx^)ddz-\- ((a+ 1 )Aa:«H-K«+>^4- i ^D^iP^-^^dxdz: 



+ (CA"*-'+ia(X- 1 )Dx^-' ] zdx — o 



inuitipHcata per z x d'z -^- a z d x integrale praebet : 

 [jAx^-^^-^Dx^-^^^dz^^aikx^^-^^-^Dx^^zdxdZ'. 



+ {Cx^^-^-laaDx^-^yzzdx^^—Edx*^ 



i]Uod ifto modo repraefentari poteft : 



(Ax^+Djt^^-O^rt^sj-i-ias^^ry^^rCGa^A-C^A^^^ss-i-E); 



ita v.t fit 



■ 4-E + (<*'a-A-'4:Q^''^2 2^; 

 xdz-\'l(S.zdx:=:'Jxy ^^«^p^x- :: -• 



Fonatur 



xf^zzz^i^O: edt: j»;**"'«(2;A'^^;+asr</jv)-:2;^i/v.,, 



ideoque 



dv s:dv 



%xdZ'\- azdx^L-zrzr = ~~r- i- vnde. nt 



a* '5; |a— I:' 



■t^-^uct, ,, _/4E+(aaA — 4C)4;i; ^^„ 



AA^-i-D^^~' 



2//'« 



