[ 7' ] 



In the following table are put down the values of B, a, and 

 y, according to each of the fix anfwers inveftigated above ; and 

 annexed are the binomials refulting from thefe anfwers : any 

 one of whofe roots, being refolved into an infinite feries, will 

 ferve for finding the cubic root of 13. 



If any one fhall ever ufe this method of extrading the cubic 

 root, it muft be left to his judgment, to determine how far this 

 inveftigation is to be continued. On the one hand the fraction, 

 (the fecond member of the binomial to be evolved,) becomes lefs, 

 and therefore the feries will converge the fafter. But, on the 

 other hand, the trouble of continuing the inveftigation, when 

 the numbers become large, and of dividing by a large divifor 



afterwards, 



