io6 Opusculi 



Inductioue invcnlcmus coefllcientem ey esse j'^ — 2/4-2 icleo- 

 que erit. 



^ 1y^ 2.3 r' 3.4 r5 4.5. yS 



(J— V + 2)ey =24- -373+2:^ + 2X4:5-^2-11X6'^'''=. 

 Eadem ratione ex aeqiiatione (^) substilulis e, e^, e^, c* etc. 



Cum coelficiens 



e sit 1 — 3 + 6 — 6 = 1 — 3. 1 4- 6.1 — 6 

 e-i 8 — 124-12 — 6 = 23—3.224-6.2 — 6 



e3 27 — 27 4-18 — 6 = 33 — 3.32 + 6.3 — 6 

 c« 64—484-24 — 6 = 43 — 3.424-6.4—6 

 es 125 — 754-30—6=53—3.524-6.5 — 6 

 etc. etc. 



inducemus generaliiB coefEcientetn e? esse j^ — 5j''~^^y — 6 , 



ideoque 



2.3 r« 2.3.4 y5 3.4.5 y6 



(^3_ 3y.^,6y-6Vy =-64- 2:3j + 2-:37i.5 +273X576 



4.5.6 y7 



4- A '■ — s 4* etc. 



^2.3.4.5.6.7 



Eodem calculo inveniemus 



9 ^ 4 v5 2 3 4.5.y6 



(y<_ 4 y3+.12 r2— 24 r 4" 24 ) ey= 24 4- t±lL 4- . £- 



^^ ' ^ -^ ■'^ ' ^2.3.4.5 2.3.4.5.6. 



. 3.4.5.6/7 4.5.6.778 



4-- 1 — I -L-. 4- etc. 



2.3.4.3.6.7 2.3.4.5.6.7.8 



