Opuscula io5 



4oS 1 1 5.2 25.3 125.4 625.5 



25 ~ 25 2 ^2. 3^2.3. 4^2. 3. 4.5^2. ;5. 4. 5.6 



> etc. 



seu 



12 3 4 5 



= -1+-+2r3 + 2X4 + 2-.Xr5'"*- 2X1X6+""=- 



2J 2^2 2". 3 2;;. 4 2^5 



'' = -^ -<- 3-^ 2:1 -^2.-374 ■+'2Xn + 2XrT6^-"^- 



32 3».2 3».3 35.4 30.5 



2a» = _1 +-2+^ + 2X4 -+-2X4:3+2-3X5:6+"'=- 

 , . 42 43.2 4^.3 45.4 40.5 



3ei = _l4.^+3- + 2-3- + 2-j;i;^+2Xrr6-^*'^- 



,52 53.2 5«.3 55.4 56.3 



*'' = -'' + -2+2:3+2.3T4+2X475 + 2X4X6+"'^- 

 ideoque generaliier 



\j ;e/_ i"i-2 ^ 2.3+2.3.4^2.3.4.5^2.3.4.5.6^ 



Substltntis e, e^, e\ e* etc. loco x ia aequalione (c), cal- 

 culo priori idenlico habebimus. 



_ ^ 2.3 3.4 4.5 5^6 



^~ +2.3 + 2.3.4+ 2'X4:5+ 2.3.4.5.6+ 2.3.4.5.6.7 +"*"• 

 „ 2_ 23^ 2'.2.3 2-'.3.4 26.4.5 2'. 5.6 



* " + 2.3+2.3.4+ 2X1:5+ 2.3.4.5.6+ 2X4.5.6.7 + *"' 

 3'. 2 3«.2.3 35.3.4 36.4.5 3^5.6 



^' -2+273+ 2X"4 + 27rr5 + 273X576+ 2.3.4.5.6.7 + '"=• 

 ,„ 43.2 4«.2.3 45.3.4 46.4.5 4^5.6 



10e.=:2+-234- 2X4 +2Xr5 + 2X^6+2X-4X6:7 + "'^- 

 j_ 53.2 51.2.3 53.3.4 66.4.5 57.5.6 



''-2+ 273+ 2X4 + 2X1:5+2.3.4.5.6+ 2.3.4.5.6.7 + "='*=• 

 Cum coefficiens esil 1 — 2-^.2= i — 2.14-2 

 e^ 4 — 4+'2 = 2- — 2.2 + 2 



e' 9 — 6-4-2 = 3" — 2.3 + 3 



e* 16 — 8 + 2 = 4^ — 2.4 + 2 



e' 26 — 10+2=:5^ — 2.5 + 2 



etc. etc. etc. 



T. III. 14 



