FACTORIBVS OmS. »1 



%dz et - — —T-z rz^Ydz^ habebitur JXdzJzXdz. 



( ^-z^^r^ 



Jz*Xdz fz'^'-"'Xdzzzag'i'P(ci'4-i)i3-*'^e)(a'^ ,g)..-(a^p-r)f^ 



jYdzJzf^Ydz.fz^^Ydz Jz^i'^'^sYdz, ^ ^^'^ 



§ 37. Cum autem fit /^^-x^^rr ^- , fi perhunc 

 fa(florem vtrinque muitiplicetur proueniet fequens aequatio 



fetis ele^ans : g^^-HgXa-4-2gKg-4--g) f^n-r »-^-) ?-f — fXdz 



'■'- " ' ■ ^ ^ ^fYlz 



feXdz jzXdz fzXdz fz^f-^Xdz 



Jz^dz ' Jz^^-Ydz ' Jz^Ydz f^-'Wdz ^'^^ ^^^ 



prenTio omnes hadenus inuentas in fe compleditur ; atque 

 ob infignem ordinem eft notatu digna. 



§•3 8. Progrediar nunc ad aUam methodum , cuius 

 ope ad huiusmodi expreOiones ex fadloribus innumerabili- 

 bus conftantes peruenire iicet . quae magis ad analyfin e(l 

 accommodata. Obferuaui enim ex redudione formularum 

 integralium ad alias iftiusmodi expreffiones obtineri pofle. 

 Sit enim propofita ifta fbrmula integralis /^«•'^-Vj^i-a"'^! , 

 quae non difficulter transmutatur in hanc expiefliontm 

 ym(i-,^«^j^^ rrr-^'P-^)n f^^-j-n.^^dxii^x^rl, Si ergo 



fn et ^^^ fuerint numeri affirmatiiii , atque integralia ita 

 capiantur, vt euanefcant , pofito xzzlo ^ tumque ponatur 

 xzzii ^ fiet fx^^-^dx^i ^x^)t _ !ij£ttJ2 fx^-^^^-^dxii-^ 



§. 39- Cum deinde (imili modo fit fx^-^^^^^-^dxd^ 



^^'^^^'^-^^^fx^^-^^-dxii^x^rP eritquoque Jx^-dx 



Tm. XL D ' ergo 



