INNVMERABILIVM PR0GRESSI0NVM. 9 j 



Series vero haec inaenta fummatoria eft progref- 

 fionis harmonieae i , £', y>i> j etc. cuius termi». 

 nus generalis eft ~. Qiiamobrem huius progref- 



fionis terminus fummatorius erit f * dx> qui 



J l ~~ x 

 illius eft terminus generaLis. 



§. 5. Cum terminus generalis progreffionis t$ 



r i—x n 

 i-f-li i-f-i-f-j, etc. fit / \dx, Poten-t ex 



hoc ea progrerfto interpolari, feu quilibet termi- 

 nus medius inueniri: vt fi requiratur terminus, cu- 

 ius index eft ^, oportebit integrari ^f—^dx vel 

 — ^, cuitis rntegrale eft £~Vx'-^ : dl( i if -^rYx) quod 

 eum fiat ~0 fi xzzz 0, ponatur o::rzi > erit termi- 

 nus ordine '^'zzzsl — 2/2. Deinde, quia generali- 

 ter terminus ordine #-f-ij terminum ordine # 

 fuperat fra&ione j^rp, erit terminus ordine i^zzz 

 2^ — 2^2, et terminus ordine 2X hic 2-t-|-f-|— 

 2/2, etc. Series igitur interpolata erit 



2 x a 2 - ?p 



2—2/2, I. 2-i-|— 2/2, I-+4;, 2.-T-.J -f-|- 2/2, etCr'' 



§. tf. Ad liunc modurn rem generalius com" 



j-P* 

 plexus fum, et affiimfi formulam f pdx, vbi 



P denotat fun&ionem quameunque ipfius xi In- 



tegralc hoc vt femper ka debet accipi vt pofi- 



to ;k~~0,jj id totum fetit zzzo, Deinde bto-c facto* 



M % 100 



