140 GONSIDERATIO AEQVATIONIS 



(A 4- D X) ddz 4- ((a -f- i) A + (a 4- I) D x)ilp 



qiiae multiplicata per x^^-^^i^xdz-^-azdx) ^ pofito 

 :^ zz zr:tuv (qm zzzx * « habebit iutegrale r 

 ^ dv x^ ~ dx dx 



y(4.E+(aaA-4.C)'z;i;) "" Vat^^A + Da:) Vjt(A+DAr/ 

 Sit iam Azza\ D— ^; (a+i)<?zrr, feu oczr^ — t 

 ct C —/ vt obtineatur iiaec acquatio : 



(af^;^)^^^+(i7+^i^^^)^+(/+'-?^^A0^^"=a 



ct pro fbrma propofita (it 



1 c_ 



cuius pofito 2; — Jt' » « ^ integrale cft ; 

 2 // i; d x 



y(4E + (^^:^' -4/)t"i^} "~ V AT (fl + ^ a;)* 



XVIII. Noa folum autem quoties ipfi; aequa- 

 tio propofita : 

 {fl^bx)ddz-\-{c^exY-^ + {f-\-gxr4f = o. 



in altera harum formarum eft contenta , quod cuenit 

 fi fuerit vcl ^:i:^-i^*i^ et /z=fi^Hi£i^J 



integrationem admittit, fed etiam quoties eadem 

 transformata in altcrutra continetur. Transformatio 

 •utem vt fupra §. 8. vidimus fit fubftitutionc 



zzz 



