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a-Bey in the _Zeitschrift der deutschen Morgenlaend. Gesellschaft_, Vol. XXXIII, p. 224; Steinschneider in the _Zeitschrift der deutschen Morgenlaend. Gesellschaft_, Vol. L, p. 214; Treutlein in the _Abhandlungen zur Geschichte der Mathematik_, Vol. I, p. 5; Suter, "Die Mathematiker und Astronomen der Araber und ihre Werke," _Abhandlungen zur Geschichte der Mathematik_, Vol. X, Leipzig, 1900, p. 10, and "Nachtraege," in Vol. XIV, p. 158; Cantor, _Geschichte der Mathematik_, Vol. I, 3d ed., pp. 712-733 etc.; F. Woepcke in _Propagation_, p. 489. So recently has he become known that Heilbronner, writing in 1742, merely mentions him as "Ben-Musa, inter Arabes celebris Geometra, scripsit de figuris planis & sphericis." [_Historia matheseos universae_, Leipzig, 1742, p. 438.] In this work most of the Arabic names will be transliterated substantially as laid down by Suter in his work _Die Mathematiker_ etc., except where this violates English pronunciation. The scheme of pronunciation of oriental names is set forth in the preface. [9] Our word _algebra_ is from the title of one of his works, Al-jabr wa'l-muq[=a]balah, Completion and Comparison. The work was translated into English by F. Rosen, London, 1831, and treated in _L'Algebre d'al-Kh[=a]rizmi et les methodes indienne et grecque_, Leon Rodet, Paris, 1878, extract from the _Journal Asiatique_. For the derivation of the word _algebra_, see Cossali, _Scritti Inediti_, pp. 381-383, Rome, 1857; Leonardo's _Liber Abbaci_ (1202), p. 410, Rome, 1857; both published by B. Boncompagni. "Almuchabala" also was used as a name for algebra. [10] This learned scholar, teacher of O'Creat who wrote the _Helceph_ ("_Prologus N. Ocreati in Helceph ad Adelardum Batensem magistrum suum_"), studied in Toledo, learned Arabic, traveled as far east as Egypt, and brought from the Levant numerous manuscripts for study and translation. See Henry in the _Abhandlungen zur Geschichte der Mathematik_, Vol. III, p. 131; Woepcke in _Propagation_, p. 518. [11] The title is _Algoritmi de numero Indorum_. That he did not make this translation is asserted by Enestroem in the _Bibliotheca Mathematica_, Vol. I (3), p. 520. [12] Thus he speaks "de numero indorum per .IX. literas," and proceeds: "Dixit algoritmi: Cum uidissem yndos constituisse .IX. literas in uniuerso numero suo, propter dispositionem suam quam posuerunt, uolui patefacere de opera quod fit per eas aliquid quod esset leuius discentibus,
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