xo(J EVOLVTIO FORMVLAE 



T. 2. «5 n X 



fx"'ax{i-x^)'^-^-^' 

 quicunquc numeri pofitiui pro litteris f ct g acci- 

 piantur. 



Demonftratio. 



Cum fit vti fupra oftendimus : 



fi hic loco n fcribamus primo X« tum \cro(X-i-i)« 

 nancifcemur has duas aequationes 

 I. 2 . X « f-^^fis: 



(A-gX/+2g)-...(m''g)~'g'V+?^'^)^ ' ' 



I. 2 (X+i)« ^ (X + I ^ ng 



(/+g,(y+2g)....(/+(X-i-ij;/^)-g'>^'>'(/-i-;X + i)«^) 



quarum illa per hanc diuifi praebet : 

 ( /'-f X« g-t-e) ( /--i-x ^z g-f-^g) .. . .( f^-KngJ^n g) __ ^HJ+J<W-ng) 



(X«4-iXX«-+2) (X« + «r~ "^ l>^-i-i)l7+ A«g) 



/.r^- V.v(i-aS,^''--' 

 / x^ ~'dx ("r^y ^"~' • 



At fi in ncquationc prima loco / fcribamus /+X;;g 

 obtmcbimus : 



I. a 



