92 AN. ESSAY ON THE ROOTS OF INTEGERS, 



^. Add the figures in this situation, 537,321 



240 



and it becomes 2,937,321. Write this sum op- 

 posite to and immediately above 537,321, and this 2,937,321 is now the 

 upper number in the Rank of the Biquadrate. 



co. Multiply this found 3 into this 2,937,321, and write the product 

 8,811,963 in the Rank of the Quadratus Cubi opposite to 571,800, the 

 second period, and immediately above 192, the upper number by Art. u in 

 that Rank. 



\. Add the figures in this situation, 8,811,963 



192 



And it becomes . . 28,011,963. Write this sum opposite 

 to and immediately above 8,811,963, and this 28,011,963 is now the upper 

 number in the Rank of the Quadratus Cubi. 



<--?. Multiply this found 3 into this 28,011,963, and the product is 

 84,035,889, which is less than 102,571,800, the first Resolvend by Art. j. 



And 3 is the highest number which will answer these conditions. 

 For let 4 be substituted in these operations, they will successively become — 



The number in g 124. The product in e . . 124 X 4 -s 496 



496 6,496 



60 4 



The sum in r 6,496. The product in v 25,984 



25,984 185,984 



160 4 



