AS PRACTISED BY THE ARABS. 99 



9'. And the figures of the product, and that upper number be in this 

 situation added together, and the sum written opposite to and immediately 

 above the product. 



10'. And the sought number be multiplied into this sum, the product 



should not be greater than 18,535,911,758,593, the second Resolvend by 

 Art./. 



Then 4 will be found the number answering these conditions, for — 



g'. Write 4 in the interstice to the right hand of 138, the upper 

 number by Art. t') in the Rank of the Latus, and it becomes 1,384, and is 

 now the upper number in that Rank. 



a'. Multiply the found 4 into this 1,384, and write the product 5,536 

 in the Rank of the Square opposite to 758,593, the third period, and 

 immediately above 7,935, the upper number by Art. / in that Rank. 



t 1 . Add the figures in this situation, 5,536 



7935 



And it becomes .... 799,036. Write this sum opposite 

 to and immediately above 5,536, and this 799,036 is now the upper number 

 in the Rank of the Square. 



vf. Multiply this found 4 into this 799,036, and write the product 

 3,196,144 in the Rank of the Cube, opposite to 758,593, the third period, 

 and immediately above 243,340, the upper number by Art. / in that Rank. 



<p'. Add the figures in this situation, 3,196,144 



243,340 



And it becomes ... 246,536,144. Write this sum 

 opposite to and immediately above 3,196,144, and this 246,536,144 is now 

 the upper number in the Rank of the Cube. 



c 1 



