OJ'OTCJ'NOrE rONDVSCrUS ONFSTL 45 



;:..,. in4 ^Yi^r:yji^~~) -f- etc. Ad huius feriei fiimmam me- 

 thodo mea conlh-uendam pono eius fummam effe fR. z^ 

 dzii—^)'':'^ hoc iiwegrah ita acccpto vt eiuuiefcat 

 pofito ;c:rro, ct poftmodum pofito^—i. H vero cft 

 z=:/.="V^(i — s*)'' 11 po(l intcgrationem ponatiu" x:— i : 

 at w; -h I ct k-{- 1 et b debcnt effe numcri affirma- 

 tiui. Sit R=i -i-A^(i-c^)-+-B^^(i-.s^)'-i-C^-» 

 (. I — js'' ) ' -h etc. quae feries tahs debet accipi vt fum- 



mationcm admittat. His pofitis — - — ^j — , ita 



flcccptum vt euanefcat pofito szro, aequabitur huic fe- 



-iei I . ^*:>ii__Ap._j B(fe^,Kfe-i-0 



I.1C1 X -r-(m-+-6(/!-+.,)-}-i)'-^^^^('n-+-''(fe->-0-Hi){mH-b)(fe-j^j)_Hi) 



b-g^~h etc. Cui ergo feriei illa inucnta pro ^- eft aequahs 

 poncnda. 



§. 24. Pono autem A^^r^fe)» Brr^^fzp^^q^, 

 Cr=:(i:;:;^)|q-;rr e^c. et fcripro j= loco ^'(i-xs^) erit 



R m H- -^j (? ? sl~ JeT' dsje ps' ? ds. Qiiae duplex in- 

 tegratio ita eft accipienda vt fado j — o, fiat R— i, 

 et ^R~o. Fiat nunc in bac ferie Z?^=:^, vt quisque 

 terminus huius feriei in terminum refpondentem iUius 

 transmutetur. Qiio igitur termini indicis y\ fiant acqua- 

 les, habebitur ifta aequatio y\[y\-\-n){y\~\-k) — {zy\^- 

 -^^'K- z^){^y\l-\-i: - ^){y\k-\-m-\- 1 -^ hJi) ., ex qua 

 crit i~^hp-\ k-\-n—^^^m-\-i-i-hk)-{-2^h{2TZ' 

 -3^); «/: — /;(7:-2^)(7r — ?)-l-2?(27i-3?)(w-+-i 

 ■+-hk)y atque o — (tt-s^) (tt-^) (ff?H- i -h^^). 

 V-nde tres fequuntur folutiones. Prima eft tt :z: 2 ^ ; liinc 



F- 3-. erit 



