= Cp) = 



§. ic. Ciim niinc in gcncre, fnmro fcilicct intcgrali 



ab A' r: o ad x - i^ fit /3 at ( / .v )" = ^t: ^ • -• 3 • 4- 5 « , 



\bi figniim -f- valet qiiando ;; cll numcrus par, contra \'ero 

 fjgnum — , crit porro 



!• 2. 3. 4. 5 X 



/.v^-' dx(lxy=:± 



«^- 



Tbi fignum -|- valet fi X fuerit numerus par, infcrius vero fi 

 impar. Hinc igitur fingulas noltras formulas per fcrics inte« 

 gremus, dum loco -^— fericm fcribimus 



I -f- .V -}- -v .V -j- .v^ -}- X' -h x' H- etc. 

 itque liinc primo nancifcemur . 



/f4^ = — ^ (^-+-^-^/^-»-.4'«H-sW-/,-H etc.) 

 yaxjj^ = ^- (i -^- /. -I- 3^^. -f- ,W- ■/,-{- /, -4- etc.) 

 /'-^^ — -1. ^. 3 (i -^ /. ^- /. -f- ,^ -f- /.-+-/. -^ ctc.) 

 ^'-^~ = I. ^. 3. 4 (i -t- .^ -4- /. -h ,^. -f- ,\ -^:. H- etc.) 

 etc. etc. . ■ 



His igltur fcricbus fubftitutis reperiemus . - — 



fj D A- r= i (i -I- ;, -f- 3^ -h /. -H ^ -I- etc.) "■ '[ 



— 3 (i 4- /3 -f- /, -f- /3 -h 3^. -I- etc.) 



H- 1(1 -I- ,1, -j- 3^, -I- /, -f- /, -h etc.) ' ; 



— -5 (i H- .'.-+- 3'^ -i- ,S -h /. -I- etc.) "■ ■" 



cuius exprefilonis iam nuper oftendi vaiorem cfle numcrurn 

 illum mcmorabilem 0,577215664.9015325. (*) ^ _ * 



Euo-,\ 



(*j V. Diirertatio : De nuwero wemoyahiU in fximwatiune progyejjtonis harmonicae 

 latnralit occurre,.te. Ac^a .Acad. pro Anno 1781. Pais pollenor, pag. 

 49- feijq. y^' . 



A'o;/fl y/t:/fl At.a(I. Iwp. Si. T. IV. B ' 



