AN ALrnriCAE. «8$ 



ergo S(r)=:A-4-'-'^-/^'--i^^r::'-+-^''~/^'"^-^^ 

 •ficque pofito xznl fit S (i)zzi(i-f-5)— I vt fupra. 



17. Ponamus nunc «11:3, litque S(3)3:Q, 

 cxiftente S (i) — 



P — »-f-.x-V(.-.a:) Jfg ^j fit 



Ex his colligitur : 



^ ^ * 3.3.5 2. J. 4. 6 2. J. 4. Si7 I.J.4.S.6.» 



hincque difFerentiando 



» * " ■^ 2.3 2.3.+ 2. 3.*. 5 2.3.4.5.6 * 



tt ■« 2« » ' 2. J. 4 T ' 2. 3. 4. S "^ '2.2.4.5.6 



cuius triplum ad priorem additum praebet 



et 4P« =4xv+2A-'+4.'-:->^*+4.i'i.!;t'44.l:jii^7^.« . etc. 



• *• * 2. 3. 4 2. 3. 4. 5 



hinc -2PA' + *-i^-|^z:A'^ et ^Qz^Ar.r^P-aPjv^A^-a: J(/a' 

 rnde ob d?=z^,dx-^ tt^—F) colligitur 



^Q=-^.r^A' + ^v^ay( 1-4^0 + ^^1--^ A:r/A'+^|i^, 

 ct integrando 



Q=: - 1 A' a;- (i^-^y (i - 4 ^) + .V 



Ponatur x - i-, quo cafu fit P n: | , erit Qz: j|s 



ita vt fit 



S(i)=l;S(3)=.|, et -J + S(i) = i^;^,~S(3)=-|*. 

 Tom.XVII.Nou.Comm. Aa 18. 



