Corollarium i.' 

 Hinc ergo fi loco x fcribamus ^x, erit 



y, dx , ^i— x-^)/(2a; 3C— -i) — y (2 3;^— i) 

 (X— l) /(2 XX— l) ' I — X-H)/(2XX— l) -f-l/(2XX— i) 



4 



•f- i A tang. '-^ — j-, ^- . 



^ i~hx — y (2XX — i) 



Corollarium 2. 



Hae integrationes eo magis funt notatu dignae, quod 



formulam differentialem non generaliorem admittant. Ita 



3 X 

 haec formula differentialis: integra- 



(i-f-ax)y((3xx — i) 

 tionem haud admittit, nifi cafibus a — n^i et p~2, vel 

 generalius, nifi fuerit (3 = 2aa. 



5. II. Ipfam autem formulam noftram integralem 



pluribus modis transformare licet, vt fignum radicale biqua- 



draticum elidatur. Commodiffime hoc praeftabitur, ponen- 



4 

 do y (2 X X — i) =:s, vnde fit 2 x x — i -{- ^"^, confequen- 



ter x=y ^-=til, hincque d x =. y^'^^^ , quo valore fub- 



Itituto erit 



cuius ergo formulae integrale erit 



4 •/2-+--/(i -f-s4)H-ss i/2-f-i -/2 



4- l A tang. -j- — . '^l . 



^ O ■/2-t-y(i H- J4) — ssV2 



Noua AUa Acad, Imp, Scient, Tom, IX. O 5.12^ 



