unde ftatim videmns efTe debere vel X ~ o, vel X=i A ita 

 ut habeamus has duas feries proi>: ^ 



^A2; + Br + Ci ) 4 H-Ds 6 + etc. 



v — 21 z 1 -h S5 z 3 -h £ z s -+- © z 7 -f- etc. 



quarum coefficientes nunc fequenti modo deierminabimus, 



$. 17. Confideremus primo priorem feriem: 

 v = A z° -I- B sr 4- C z 4 4- D z 6 -+- etc. 

 atque habebimus 



^zf^— - - - 2Bz ? H-3.4C^ + 5.^.Dz 6 + etc. 



— 1|£ — - ft B - 3. 4 C z 2 - 5. 6 D z* — 7. 8. E z 6 - etc. 

 + 32^1: - - 2. 3 B z 2 ■+- 4- 3 C z 4 •+■ 6. 3. D s 6 h- etc, 

 — (nn-i )v—-(nn-i)A.-(nn-i)Bz?-(nn-i)Cz 4 -(nn-i)Dz 6 -eic. 

 unde fcquentes derivantur valores: 

 B — — <«»=iJA, 



3. 4 ' 

 D— — i*«-m q 



5. 6 ' 



E — — ( J^ =JJ2 » D , 



7. 8 



(fl w — 49 ) 



7 



quibus fubftitutis feries noftra prior erit 



V Z A r I ( nw ~~ x ^ 2 -+- (nri — 1'lnn — 9' ,,4 {nn — I ) |?in — 9^(n w — 25' „6 _ + g-j-^ 1 



L 2 ... j. 4. 2 . . . 6 ' '• J ' 



$. 18. Tractemus iimili modo alteram feriem 



v — % z + <£> z 3 + <? z"' + <£) z 7 + etc. 



et cum ex ea fequentes oriantur 



%% 



