7<3 Investigatio terturbationum 



, , j r J —(d» — dv) . 



dn — dv ==■ — md a , utiic d a = j 



r rj r i \ •+• cof. ' * — v ) 

 licque erit J d a fin. (» — v) = • 



Deinde pro f da Jin. (m 4- v) colligo 



d» ■+- dv = (2 i — m) d as — 4 i k d a cof. v > 



. . , </«-+- dv 4,1 k dm cof. v . . 



unde enc d a =* — 1 : , ideoquc 



/*«/&*. ()i+v) = li _ m •+■ —rj da > C0 J- v l in - (" +v )» 



Sed quia in noftra formula J da Jin. (» •+- v) jam per k eft 

 mukiplicatum , pofterius membrum, quod adhuc inte- 

 grari deberet , omittimus , qui produceret quantitatem 

 per kk affedam. Hac omilfione pariter facta pro reli- 

 quis formulis , habebimus etiamnunc in differentiali- 

 bus : 



idr\ — <dv={l — im)da, & idv\-*-dv={},i — zm)da I 



.. . td* — dv . id\>-\-dv 



ldeoque a a = , cC da = — ; • 



J i — i m 3 j 2.7B 



§. XCIV. His igitur valoribus adhibitis adipifce- 

 mur facile formulas integrales fequentes: 



rj r 1 » -f- co f. ;» — v) . 

 fdajin.(v — v) = j 



Jdafin.{« + v)= — — r^r~> 



— cof. { * " — v ) . 

 J da fin. ( % „ — v ) == — — , 



fdafin.{i« — v)— 3i _ im > 



atque ex his jam priora incegralia complcta red- 

 dentur : 



