DKTERMINATIONE. 8i 



y^ — - —- + -TXi — tht;:;- -f- etc. 



ita vt fit 5}^ =2 cof. sfeTT , et 9^ = - fin. i/cTr. His va~ 

 loribus inuentis , erit pars integralis ex fadore zz-l-^-kkirn 

 oriunda : 



5(cor 2^7r cof 2^7Tj- fin. siTT. fin. ^ik-nx) fXdxcoCikiTX 



"^ c(cof2^7r.fin. 2/t7r.v+fin.2/:7r.cof ^k^nx^fXdx fin. zkixx 

 at eft , fi 2^ — 0, cof 2 ^ TT m I , ynde erit : 

 •yini cof zkixxfXdx cof 2 ^tt.v+s fiu. zkTzxfXdxCm. zk-nx. 

 Qiiod fi iam omnes hi valores , ex variabilitate niimeri k 

 oriundi , in vnnm liimmam colligantur , prodibit terminus 

 generalis quaefitus : 



rj^^^+-C0f27r.l/X^A,'C0f2XV+2C0f47T.v/X</ArC0f47rAr+2C0f(J7rA/X^A,'C0f.^'7rAf 



'"'•' +2f"i.27t.x/X</A'fm.2xv+2fin.47T.t/X</.vfm.47rA-+2fin.57TAjrX«/A:fin.67r/ ' 

 Q. E. I. 



Coroll. I. 



f . 5(y. Qiiia e{\. y zn y -{- X , manifeftum eft , y 

 exprimere terminum (iimmatorium feriei , cuius terminus 

 generalis fit — X. Si enim fumma omnium termino- ■ 

 nim a primo vsque ad hunc X , cuius index eft rr .v , 

 ponatur —jy, erit fumma omnium praeter vltimum — ^, 

 jdeoque j':::^^^ 4- X. 



CoroU. 2. 



§. 57.Exprefllo ergo inuentaj,feu terminus generalis feriei 

 propofitae, fimul eft terminus fummatorius fcriei, cuius termi- 

 nus generalis eft = X ; ficque nouam adepti fumus expreflio- 



Tom. III. Nov. Comment. L nem 



