'-¥.% ) 35 ( l?€- 

 Tel etiam 



yx4-yYzi:y(A + C(jf-j)') 



§. 34. Hic fingularis cafus occurrit, quando for- 

 mulae A -f-Br -H C,rjf funt quadrata- Sit enim 



X rz {a-\-h xY ct Y — (a 4- i> j')* ideoque 



A — a*, Bznifl^, C— ^^; 

 tum enim prior forma integralis erit 



b{x-y) ~V{A-{-^ab{x-\-j) ~\-bb{x +/)•) 

 fumtisque quadratis 



— ^b b xy — £:i -\- ^ a b {x + j), ideoque 



Ai=a {x-\-y) -^rbxj 

 cuius aequationis differentiale eft 



a{d X -^ dy) -\-b {x dy -\-y d x) ~o idcoque 



dx{a-\-by) -\- dy {a-^b x) — o. 

 Sin aiitem altera formula vtatur , erit 



^a-\-b {x -^-y) - y (A -i- ^ ^ {x - y)') 

 rnde quadratis fumtis , pofitoque A — 4. « <z zi: F prodit 

 vt ante Y — a[x -\-y) -\- b xy. 



Analyfis 

 Fro integranda aequatione 



dx d y 



VX — Vt 



cxiftente X=z:A + Bx-f-C:^:c-|-D**-hEjf* , 



et YzzA4-Bj'-hCj'^-l-D>'' ^-E^. 

 ^*f E a §• 35^ 



