/ 



fS^ CONSIDERATIO AEQVATIONIS 



jcii» 



^ — \Qk p +J|=:/R?^A', hincque porro 



Iqd X 



4-p zppdx ^ 2pdx zp 



Ex quihus coUigimiis ,, propofita hac aequatione 



ddz-\-^^:^':^JriQir^pdx-V2pdq-qdp)^ = o 

 fi ea ducatur in 2pdz-\-qzdx fore integrale 



pdz-\'qzdxdz->r{C'>i.~T'pJrqqY.^A^—p^dx\ 



XIIL His ad propofitum accommodatis primo 

 ©btinemus : 



l^l^' = H-^'-^ vflde cdligimus 

 i^'=:-/p+V/*-4-*-i^'-^/(«+^;i-), ideoque , 



- , «_£ a {ae — je^ ^^^ 



**- •■ hincque i 



/+g.y _ Cj;^(<?+^a-) «fc dx^zpdq-qdp 



^xxia-i-bx)'^ 4-ppdx ' 



d g :Z1 '(^^^^)^P «. af)<ixta £-f-^cjc- j-fcfy:c.) __ d dp ■' 

 ^ x{a-^.bx} xx(a^bx)^ Tx 



quibus fubftitutis aequatio refoluenda erit 



m:imi^:=,Cx%+Bx)-d^'jx^ ^^ ' 

 3fx{ai-.i,x') x^a + bx) 



^ppdx^ac-^^bcx \-b cxx) zpddp dp' 



"" ■ xx(,a+bxf~ Jl^^dx' 



XIV. 



