403 



unde obtinetur ^/= K\-n = 0,915965-594177 : 2. 



5) Potest vero etiam, indicante Cel. Legendre, const. 7 ( 1) = |. (Z" \ 

 Z" f) exhiberi per & . (i . Z" - Z" 1 - x 2 V 3), seu 10 . 7 (- 1) = 

 i . 12* _ 6* + 1 Z" (1 + ) - ^ (1 + f) -7T 2 K3. Est vero Z" (! + ) = 



-, - iV)--- - i. (a 3 + I L . (2a 5 + A_ . (3 ., + ..))). atque 



que jSm | TT = i itemque 5 1 i TT = | K 2 (K3 1), quare substitutione effecta, 



fit l0.7-l)=18 i 



h. e. = 18, 352653-061224=489796 (= a) 



0, 084 502- 909 677= 734853 (= 6) 

 -f 0, 068 042- 648 604= 56853 (= c) 



0, 016880-916606=94317 (= d) 

 unde 7 (- 1) = 1,8 31931-188354=438030 1TT 

 atque \. 1 = 0, 9159 65-594 177= 219015- = K\ v. 



6) Optime vero const. 7 vel K ^ TT ex fx 6 x Cotg x petitur. Quia enim 

 - xLSx-ft>xLSx = xLSz + ^H(K atque 77 x = 

 Lt, fit K^ = H\Tt ITT L 2 = 

 Est vero Tj = i- 



2x* ~ 2 X s f 2ar' - 2*9 . . 1 J_ _1_ p 



* W&'f* J*v* T^ V6 97t s.. ., siy n = i + 2. + 3. -t- 4. + 

 sito vero / = 1 + ., sejungitur pars a; |.J f.J 1-^ = 3^ 



, \ o r 7T + T /' rrfCo 31 



--) = 3-^.7v.^.-, quarej *, 41 r..,, 3L. j 



= ". s w = 



0,232 423-849 585=402 553 75. Hinc igitur fitA"Jn=2 



