54- r>E 1NTEGRJTI0NE 



hic fpecimina attuli, ita mihi videtur comparata , vt 

 indolem eius diligentius excolendo , ad infignes vfus 

 ap a reddi queat , vnde haud contemnenda commoda 

 in An.ilyfin Cnt redundatura. 



§ 32. Hic autem obferuo, formulam §. 28 a£» 

 fumtam latius extendendo , emsmodi differentialia inter 

 fe comparari poffe , quae fint difparia , atque adeo 

 exemplum difpantatis §. 26. allatum hoc modo obti- 

 neri poffe; ita vt omnia, quae hactenus funt tradita, in 

 hac generali inueftigatione contineantur. Fingatur fcili- 

 cet haec aequatio integralis : 



(1) . . . axxyy -\- 2 fixxy-\- 2yxyy-\-$ xx-\-evy\- 2%xy-\-iyx 



-\-2$y -\-X—0 

 cx qua fit 



f . — fixx— £x— 0-4- V f((3yy-4 - £x— W — !a.xx-i-^yx+^xx-\- 2 yx4 .x)) 



{2)...y — a.xx^-2yx~ H£ ~~ 



/ \ r _ vyy—Zy—vi—4((yyy-^b-h- 'ri)l^M ^-Py+£feyy-+-*h+x)) 



{ 3 ) . . . X — ay j+ _£>-)-$ 



Ponatur lam breuitatis gratia: 



%i<L~ yy—ae 



223^-2Y^-2«0-2(3e 

 (£qq-^-\2yy]-ax-$e-^.p$ 



z^qq-i^yy-ifix- 26$ 

 (£qq~ ypt\-$v 



App- (3(3 -a$ 

 zlSpp- 2 (3^-2 a-vj -2y£ 



Cpp~ %%-\-2pQ-ax-$e-4.yyi 

 2T)pp-2ty-2yx-2er\ 



Epp- M-ex 

 eritque : 



fa).-pV(Ax*-\-2'Rx*-\-Cxx-\-2'Dx-\-E)=:axxy 



-\- 2 yxy-\- ey-\-$xx-\- %x-\ $ 

 (5)..-^Vcgfj*+ a SB^« + £^+ 2 ©yH- g;- axyy 



fc + 2 pxy-t $x+ yyy-r%y-\ y\ 



§• 33. 



