[ 404 ] 



diminiflied by fublradion, the produds will ftill have the fame 

 difierence. 



Let the coefficients of the 2d, 3d, 4th, 5th, &c. terms of 

 the given products be denoted by y, r, s, t, v, &c refpedively ; 

 the index of the higheft term by w, and the quantity, whether 

 affirmative or negative, which is to be added to each of the fecond 

 terms of the fadors, by m, the coefficients of the correfpondent terms 



of the new produds will be, — "^ — 



« >i- I n n- I n - 2 



.ni'^ . — . m^ 



2 ' I 2 3 



n n-\ n~z n - -i q n-\ ?i- i n- 2 , 



— ^m", X ^ f»' 5"» 



123 4 &c, I I ' 2 



«-i«-2«-33 r n- 2 

 . -am rm 



123 I 



»-2«-3a J 



-^rm 



I 2 



I 

 t. 



Whence it appears that in whatfoever term the given produds 

 begin to differ from each other in the correfpondent one, will 

 the new produds alfo begin to differ from each other, and by 

 the fame quantity. If the fecond terms of the fadors be equally 

 increafed, the fum of the produds will be increafed, io that 



(if 



