EVOLUTION, 



^59 



3, Add together these three products, namely, thrice the 

 isquare of a multiplied by f, thrice a multiplied by the square 

 of ej arid the cube of e, setting each of them one place more 

 to the right hand than the former, and call the sum the 

 subtrahend ; which must not exceed the resolvend j and if 

 it do, then make the last figure e less, and repeat the 

 operation for finding the subtrahend. 



4. From the resolvend take the subtrahend, and to the 

 remainder join the next period of the given number for a 

 new resolvend ,• to which form a new divisor from the 

 whole root now found 5 and thence another figure of the 

 root, as before, &c. 



EXAMPLES. 



ThenTHfT] '=5'+ 3^*^4.3^3* +3' =i\r= given number, and 

 to find the cube root of iV is the same as to find the cube root of 

 <'' + 3<'*^+3^^*+^' ; the method of doing which is as follows : 



And in the same manner may the root of a quantity, consisting 

 of any number of periods whatever, be found. 



