:V< 



t — XX 



(120) 



Eft vero ex cafu praecedente 



I - 3 ^ JT -4- 5 Af* - 7 Jf* H- p Jf* - 1 1 :v" -^ etc. =: ^^:^:^., 

 vnde 



rV/A «(! — «*) „,. ./-/ I — 6XX-4-X* 



JS OX (i_^^x)» ^^"^ •* (i-.-;c;c|i 



Quamobrem pofito x — t fumma feriei quaefitae prodit 



Quodfi vlterius fequentcs cafus euoluantur, mox pate- 

 bit fummam feriei S ordinis «-f-i, ita pendere a fumma or- 

 dinis praecedentis j , vt fitfSdx — sx et S ~ J -h ^ > id 

 circo pofito 



r _ A .v.v -f- B.V* - Cx' -^ Da^» — Ejc'» -f- Fjc'* 

 j- izz — etc. 



(i -i- JC.V/-+-" 



et computo abfoluto prodibit tandem 



I _ [( 2 « -(- 1 ) -+- 3 A] xjf -f- [(2«-i ) A-+-5 B] jf'^- [(2«-3) B-+-7C] Jf* 

 S= ^ [(2»-5)C^9D].v^-[f 2«-7 )D-)-iiE].v'°-H[(2«-f-9)E-H3F]jy''- etc. 



(i -h jf jf/ -^' 

 vbi lex, quam tenent coefficientes poteftatum ipfius x facilc 

 perfpicitur. 



Quo igitur reperiatur fumma feriei pro cafu «-f-irrg, 



poni debct ;;=:2,A = 6, Bnzi, tum vero C ac omnes 



rciiqui co' fficientes fiatui debent niliilo aequales ; fubftituti* 

 his valoribus in exprcflione generali prodibit : 



,/// 



I — 23 jc jf -!- 23 Jf* — Jf* 



(i -h jr .v/ 

 ct pofito .V — l fit 



i — 3'-h5^ — 7^-H9' — ri»-|-i3' — ctc. zz 0. 

 Pari modo vltcriug proccdcndo rcpcritur 



j" 



