91 



bebiinns: (n-Hi)=i4-^ Ai-^f . ^ A^l n-f .^'.^^-^A'n-etc. 

 Cuin jani haec postrema expressio cxhibeat terminum, qui 

 a primo n gradibas est remotns, simili modo terminus qui 

 a secundo per totidem gradus est pro motus (ii--{~2), ex 

 secundo, ejusque dilTerentiis, determinatur: erit enim: 



(U-H 2) =I2-f--A2-f--. A^ 2 -f- - . . ■ A^ 2 -f- etc. 



Eoclem modo evidens est fore protinus : 



(»H-3) = 3-^-A3-f^^.^^A^3-+--.^^.^^A'3-+- etc. 



K / 1 12 123 



(n + 4)=z4-^fA4-Hf.^'AH-^7-^.^A^4H^etc. 



§. 6. Hinc ergo patet, ipsum seriei notrae terminum 

 generalem (x) ex primo, ejusque ditTerentiis , hoc modo 

 defmiri : 



(x)z:z(i)+ -^ An- -_-.-_ A^i-f- -^ . -^ . -^ A^l +etc. 

 unde terminus ultimum sequens (x + 1) manifesto erit : 

 (x-^i) = (i)^-^Ai + f.;-:^^A^i^f..^.î^=A^i + etc. 

 quae expressio cum in sequentibus frequentissirne occur- 

 rat, brevitatis gratia introducamus sequentes eharacteres: 



X 



X X 1 / 



7 • ~ir~ — ^'^' » 



X X — r X — ^ 2 ' y/ 



123 » 



X X — I je — 2 X — 3 /// 



I 



3, 



f 



etc. 

 •quibus adhibitis habebimus sequentes aequationes 



1 c * 



