54-DE PROGRESSIONIBVS TRANSCEN.D 



qui pluribus fignis integralibus continentur \tfrdx 

 fqdxfpdx. Attamen femper loco p,^,retc. ta- 

 lcs funt fumendae funftiones, vt, quoties n fue- 

 rit numcrus integer afHrmatiuus, prodeant ter- 

 mini ad minimum algebraici. 



§. 25. Sit terminus generalis / *Jx*dx(i-x) 



x*-*-* n. x e + 2 



hic in feriem eonuerfus dat 7- — — ; — « 



(*-f-i)- i.{e-\-2j 2 



n. n— i.jc m ~ 3 



-4- / l~z etc - Pofit-o ___:i , habebitur ter- 



1.2 (M-3) 



miniis ordi-nd n per hanc feriem te ^.,^ ~ ' " • ^s > 



-+- t.T.fZ+.a)* etc « Progreffio vero ipfa haec erit 



a tjermino cuius index eft incipiens ^^ ^ 2 » 



| f + ,;? - ;+l )« ( < . ^_3)g(p-4-i)«— 2 (<? - |-3) 2 (<H-l VH-^H-i^UH-i) 1 

 (f+i^f+if ' " ^H-3) 2 (eH-,2p'(«Hr-l)f ' 



^<?H-4>~> H- 3 ^>H-3 ) 2 - 3 ^H-^ fpH-I^V-K ' ) 2 H- 3 (PH-4) 2 (f H-2 ) 2 (rn -l j 

 (<?H-4) 2 (<?H- 3 )VH-2 ) 2 .(<?H- 1 )* 



— ^~ 5 --^- — etc Lex hums progreffionis 



nv.niferta eft, et non indiget explicatione. Sit 



. r , i-d-.r) 71 ^ 1 

 £— o, erit dx(i -x) n ~ ergo termi- 



J K-f-I D 



dx—dx\ i —xf^" l 

 nus generaiis ert f — — — , progreffio ve- 



■ (;z-4-i)x ' r & 



ro hiec erit ' 4 ~'-i ?-4-g -9-'-+-4 -' » 6.9. 4 -3.1 6'. 9- »-f- 

 ro nacc eru T , ^ , > 9. 4 . 1 > ,6.9 



J-d__4.jjz9_4_j. etc Huius difFerenriae hanc con- 

 ftituent progreffionem, ^, , ■=&**, r_i^^l____J- 

 etc. 



$. 2<5. In hac differtatione ergo id , quod 

 prnecipue intendi, aiTecutus fumj nempe vt tcr- 



minos 



