[ 6^ ] 



Having calculated the above eight terms, and feeing that 

 the whole value of a ninth term would not amount to unity 

 in the laft place of decimals, that and all the following terms 

 may be negleded ; and the fum of thefe eight, added together 

 according to their figns, as follows, is the cubic root of the 



binomial H — : 



27 



I ft term _ _ _ _ +1,000 000 000 0000 



2d term _ - _ _ +0,012 345 6790123 



4th term --__-_ +2 136 1273 



6th term ______ - +2 1031 



8th term _______ +18 



Sum of affirmative terms - +r,oi2 348 817 2445 



3d term - - _ _ _ — 152 415 7902 



5th term - - —77 4352 



7th term ---____ — 605 



Sum of negative terms - - — 152 493 2859 



Cubic root of i+— - - 1,012 196 323 9586 



And fince 274-1 (=28) :!+—:: 27 : i ; V^ : Vi+J- 

 : 3:1. If therefore the cubic root of r+— be multiplied 



into 



