hinc differentiando, fumto D % conftante , prodit 



i^i% % — • iJRc zd * dt — nndsrzzz: o. 

 Cum autem /it t =j v Y (z z — - i ), erit 



3 f 3 v i z 3 z- 



i v z z — i ' 



aaf- a^f 99-u a^ , a ^ 2 « « 3 z» ^ 



£ i t ' <u >W ' ZZ — I (z z — Ij* * 



Addatur utrinque 



cMf — 3^2 , 2 z d v d z 1 z z 9 g^ 



f t" t7t7 <l>(2 2 — I) <ZZ — ij2 3 



et prodibit pro 451 fequens valor: 



3 dt ddjy 1 9 z2 i_ 2 a 9 r d g z z 3 z* 



i 1) ' "^" 22-1 -U(ZZ — X) (22 I) 2 ' 



quo fubftituto, una cum valore ££, fequens prodit aequatio : 



^(zz-i) + 3 zc)z^ + (i — /2?l) H 2 -o, 

 quae porro in hanc formam transfunditur: 



<L^H(z-z — i) + 3Zr — (nn— i)vzzzzc. 



d z 2 v ' a z 



§. i<5. Fingatur nunc haec feries: 



^AzHBz^^ + Cz^^ + Dz^^i-etc. 

 eritque fumtis differentialibus. 



^ — AAs x - I -t-(X-+-2)Bz x - + - I -f-(X-4-4)Cz x ^ 3 H- etc. 



3 2 v ' x 



32 



3 

 3 



||? = X (X - i ) As x - 2 -+- (x+i)(a+2)Bz x 



- + -(x-*-3)(x-+-4)Cs x + 2 + etc. 

 unde porro fit 



**|i£= - - - - Vx(X-i) AxV(>H-i)(X-»-:)Bs x+2 -+etc. 

 -||--^X(X-i)Az x - 2 -(X-fa)(A^2)Bi x -( x - + 3)( x ^4-)Cz x + 2 -etc. 



+ 3 z^= - - - +3X A~ x -+-3 (X-+2)B:5 x+2 ^etc. 



-(nw— i)x;=. - * —(nn—.i) Az x ~(nn- i) Bz x + 2 -etc. 



unde 



