802 Journal of the Asiatic Society of Bengal. {December, 1911. 
through Rosen’s translation.! The particular work of Muham- 
mad tsa in question was published in Europe in 1857 by 
Prince Boncompagni who gives it the title Algoritmi de numero 
Indorum. The following list of contents of the work, however, 
shows pretty conclusively that it is not of Indian origin :-— 
Principles of numeration. 
(2) Addition. ; 
(3) Subtraction. ' 
(4) Division by two (Mediation). 
(5) Multiplication by two (Duplation). 
(6) Proof by ‘nines.’ 
(7) Division. 
(8) Multiplication of sexagesimal fractions. 
(9) Division of sexagesimal fractions. 
(10) Manner of writing sexagesimal fractions. 
(11) Addition of sexagesimal fractions. 
(13) Mediation with sexagesimal fractions. 
(14) Duplation with sexagesimal fractions. 
(15) Multiplication of ordinary fractions. 
on 
~ 
— 
mathematical works practically ignore the system,” but 
Woepcke misunderstood his text as he did in other sim oS 
as will be seen later on. Secondly according to Rosen, Cole 
brooke, Woepcke, and others Muhammad b. Misa was also 
debted to the Hindus for the substance of his algebra, bu 
is by no means true as was long ago conclusively proved | 
Rodet. Thirdly, although the work is supposed to deal wi 
Indian numbers no : 
r abbaci contains the following chapters -—_ 
1 The Algebra of Muhammad b. Maea, F. Rosen, 1823. : 
2 The Hindu astronomers use the notation and Brahmagupta em 
ploys it in some quasi-astronomical examples in his bra. He 
si toitina suppl nt to his work, but in such a way as to exc 
ates as of Indian origin. 
— 4 78, pp. 5-98 
matiques en Italie, ii, 20. 
