AS PRACTISED BY THE ARABS. 



75 



That is equal to 

 16610 30 r + 571,800'10* 4 -f 758,593'10 18 -f 887,308'10'* -f- 296,025'10 6 

 + 335,490. 



Then evidently by Par. 16.) 

 166 consists of 3 figures, and expounds A. 

 571,800 consists of 6 figures, and expounds B. 



758,593 similarly expounds C. 



887,308 similarly expounds D. 



296,025 similarly expounds E. 



335,490 similarly expounds F. 



And hence, by the reasoning of Par. 16) M becomes equal to, 

 (p being put = 10) 

















<p 6 -f 887,308 





166 <p 6 + 571,800 



p 6 + 758,593 



<p 6 -f 296,025 



p 6 -f- 335,490. 



And hence in succession— 

 A p s -f B or P is expounded by 166 <p 6 -f 571,800, or 166,571,800 by Lem. 6. 



I A <P 6 + B| <p« + C or P <p° + C or F by |166p° -f- 571,800| f + 758,593, 

 or 166,571,800,758,593. 



A <t> 6 -f- B <jD e -f- C f + D or P' p 6 -f D or P' by 



166 <p s -|- 571,800 

 593,887,308 



<p 6 + 758,593 J <p* -f 887,308, or 166,571,800,758, 



w 



