AN ESSAY ON THE ROOTS OF INTEGERS, 



t*y. Subtract 16,134,619,913,216, the third Subtrahend, from 

 18,535,911,758,593, the second Resolvend, and 2,401,291,845,377 is the 

 third Remainder. 



And proceed analogously through all the following Periods of the 

 given number : 



Thus- 



j". Write the last Resolvend on a line with the figures of the next 

 Period in the next descending right hand step of the Pulpit Diagram. 

 These whole figures are the next Resolvend. 



kf. Add the last found 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. 



I". Multiply the last found 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. 



m" . 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. 



h". Multiply the last found 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. 



