io3 



fr^^ — 



\+ 



'■ 4 



|c3 



3 



3^ 

 i3 



*4 



4 

 3c4 



4.16 

 a:4 



xS 



xS 



2.9 



3 . 27 ' 4 . 81 

 a:3 a4 



5. 32 

 a5 



6 .,64 



— 7^:-r, + 



2.16 3-64 I 4 . 256 



etc. 



î • •=43 ' 6 ■ 729 

 5 . 1024 ' 6 . 4356 



etc. 

 etc. 

 etc. 

 etc. 



5. 23. Qaod si jam. has séries verticaliter colliga- 

 mus , habebimus : 



\^'{^-^\ -+- î-f-è-+-|5 +etc.)=4-o,822467.a;^ 



Jj H- etc.) =—0^400 685. x^ 

 5Ï5 + etc.)=+o,2 7o58i.a:^ 



fydx- 





I_ 



16 



(_|x5(i-f-/- 



T 



9 



£7 



_I_ 

 81 



64 

 256 



245 ^^1024 îii;5 



etc.)=— o,207385.tr% 



etc. 



Ponamus nunc x = 1 , ut prodeat area 01 (1), et quia 

 fractiones décimales hic datae parum convergunt, notetur, 

 seriei cujascunque, ubi signa alternantur, scil. : 



s zn a — b-\- c — d-\~ e — etc. 

 summam per differentias continuas ita exprimi, ut sit : 



s — la — ïAa-f-fA^a — j^A^a+etc. 

 ciijus ergo regulae ope calculas sequenti modo institui 

 poteiit : 





0,822467 



o,4.io635 

 ^.275581 

 0,207385 

 0,1695 î7 



0,144050: 



O.lîJJOl) 



— A +A^ 



0,421752 

 3,130104 

 3,063196 



2J507 

 0,018541 





•A' 



0,291678 



0.066908 '''"'f77o 

 >25j68°'°4'î4o 

 0,0123^. °'°'-3°47 



0,006066 ' ''-"^ 

 „ , ^,-',,,0,002600 



©,034q6o , 



^-' 10,001426 



0,002940 ^ 



■A* 



0,183230 

 0.023493 

 0,007692 



O,00275î 



0,031174 



Aï -+-A« — A7 



'^.'54737 

 o,oaogoi 

 o,oo493j 

 0,001581 





0,133936 

 0,015364 

 0,003356 



0,118072 

 0,012508 



•A8 



0,105564 



etc. 



