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On the EXTRACTION of the CUBIC and other ROOTS. 

 By . 



Communicated by the Rev. M. YOUNG, D. D. 



VV H EN the cubic root of any number is required true to Read Ja- 

 many places of decimals, let the given number be refolved into """y '» 

 a binomial, making the firft term a cubic number, and the 

 fura or difference of the terms equal to the given number. 

 Let both terms be then divided by the fitft, which makes the 

 firft term i, and the fecond a fradion ; and let the cubic root 

 of this refulting binomial be refolved into an infinite feries by 

 the binomial theorem ; and let as many terms of it be calcu- 

 lated, as give it true to two or three more than the required 

 number of places ; and laftly, let this root be multiplied into 

 the cubic root of the term which was made the divifor above, 

 and this gives the number required. 



H 2 Thus : 



