BINOMHL THEOREM. 46J 



viz. the Miftehul-Hlfnhi or key of Arithmetic^ compofed by. Jumshid 

 SP^j^Mo'-'iouD in the reign of Ulugh Beg, grandfon of Timor, and 

 mthe Ayoun-uLHifab, or rules of Arithmetic, eompofed by Mukam-med 

 BaQir in the reiga of Shah Abbas I, about the year 1600. Neither of 

 thefe works is very generally to be met with, at leail in that part of 

 India where I am ftationed, and 1 have not as yet been able to procure 

 more than an extrad of each. The author of the MiftehulHlfah 

 declares (I am told) that his rule is not invented by himfelf, but taken 

 from authors more ancient fliU. His rule is much more complicated 

 than that in the Ayoun-ul-Hifab, and prefuppofes an acquaintance with 

 former parts of the work, which are not in my poffsffion. I do not 

 therefore tranfcribe that-, but proceed to give the rule as it fiands in the 

 Ayoun-uUHifab, prerniiing that the coefficients of the terms are called 

 the JjU« Jj^sl of the power, which I have tranflated Radices Locorum; 

 and the firfl: power of a number, that is, the number itfelf conhdered 

 as a root, is called the ji-; or jy ^U which I have, in like manner, 

 tranflated Latus or Latus Primum. 



f}ij>j ^J* ^nAJW ejiUl-d5.1j Jj!^l ^Ull ^\j\i cjUsl ^^a ^l-a^ Js" ^''J^-o J^^ ^1 ^U] 



3 Y 



