!12 AN ESSAY ON THE ROOTS OF INTEGERS, 



fjo. Add together in the Rank of the Square this product and that 

 upper number, and write the sum opposite to and immediately above them. 

 This sum is now the upper number in the Rank of the Square. 



k Multiply the last figure of the Root into this sum, and write the 

 product in the Rank of the Cube opposite to and immediately above the 

 upper number in that Rank. 



)a. Add together in the Rank of the Cube this product and that 

 upper number, and write the sum opposite to and immediately above them. 

 This sum is now the upper number in the Rank of the Cube. 



£_. Multiply the last figure of the Root into this sum, and write the 

 product in the Rank of the Biquadrate opposite to and immediately above 

 the upper number in that Rank. 



£_. Add together in the Rank of the Biquadrate this product and 

 that upper number, and write the sum opposite to and immediately above 

 them. This sum is now the upper number in the Rank of the Biquadrate. 



And these operations are analogous to those from v" to |3" 



<-J. Add the last figure of the Root to the upper number in the 

 Rank of the Latus, and write the sum opposite to and immediately above 

 it. This sum is now the upper number in the Rank of the Latus. 



j. Multiply the last figure of the Root into this sum, and write the 

 product in the Rank of the Square opposite to and immediately above 

 the upper number in that Rank. 



