no. 2
An Exciting New Arabic Version of Euclid's Elements: MS Mumbai, MULLĀ FĪRŪZ R.I.6
[Une passionante nouvelle version arabe des Éléments d'Euclide : MS Mumbai, MULLĀ FĪRŪZ R.I.6]
Revue d'histoire des mathématiques, Tome 12 (2006) no. 2, pp. 169-197.

Cet article présente une version arabe, anonyme et non datée des Éléments d'Euclide. Il vise à déterminer la relation de cette version à l'histoire textuelle des Éléments arabes telle qu'on la connaît aujourd'hui. Cette version est jugée intéressante pour le rapport étroit qu'elle entretient avec les ouvrages du premier traducteur connu des Éléments d'Euclide en arabe, pour les informations nouvelles qu'elle offre sur des débats philosophiques concernant les Éléments et finalement pour la base textuelle nouvelle qu'elle met à notre disposition pour des études plus approfondies sur la première période de l'histoire des Éléments d'Euclide en arabe.

This paper introduces an anonymous and undated Arabic version of Euclid's Elements. It tries to determine its relationship to the textual history of the Arabic Elements as known today. The value of the version, the paper argues, is its close relationship to the works of the first known translator of Euclid's Elements into Arabic, al-Ḥajjāj b.Yūsuf b.Maṭar, the light it sheds on philosophical debates surrounding the Elements, and the new textual basis (BooksI toIX with some lacunae) it yields for the further study of the early history of Euclid's Elements in Arabic.

Mots clés : history of texts, transmission of Euclid's elements in arabic 
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Brentjes, Sonja. An Exciting New Arabic Version of Euclid's Elements: MS Mumbai, MULLĀ FĪRŪZ R.I.6. Revue d'histoire des mathématiques, Tome 12 (2006) no. 2, pp. 169-197. http://archive.numdam.org/item/RHM_2006__12_2_169_0/

[1] R. Arnzen, Abū l-‘Abbās an-Nayrīzīs Exzerpte aus (Ps.-?)Simplicius' Kommentar zu den Definitionen, Postulaten und Axiomen in Euclids Elementa I, Arnzen, 2002 | Zbl

[2] R. O. Besthorn, J. L. Heiberg, T. Thomson, G. Junge & RAEDER, (J.), eds., Codex Leidensis 399,1, Euclidis Elementa ex interpretatione Al-Hadschdschadschii cum commentariis al-Narizii, 1932, I.1, 1893, I.2, 1897, II.1, 1900; II.2, 1905; III.1, 1910; III.2 | JFM | Zbl

[3] S. Brentjes, Aḥmad al-Karābīsī's Commentary on Euclid's Elements, Folkerts (Menso) & Lorch (Richard), eds., in: Sic Itur Ad Astra, Studien zur Geschichte der Mathematik und Naturwissenschaften. Festschrift für den Arabisten Paul Kunitzsch zum 70. Geburtstag, Wiesbaden: Harrasowitz Verlag, 2000, p. 31-75 | MR | Zbl

[4] S. Brentjes, “Two comments on Euclid's Elements? On the relation between the Arabic text attributed to al-Nayrīzī and the Latin text ascribed to Anaritius”, Centaurus 43 (2001), p. 17-55 | MR | Zbl

[5] S. Brentjes, “Textzeugen und Hypothesen zum arabischen Euklid in der Überlieferung von al-Ḥajjāj b.Yūsuf b.Maṭar (zwischen 786 und 833)”, Archive for History of Exact Sciences 47 (1994), p. 53-92 | MR | Zbl

[6] S. Brentjes, The relevance of Non-Primary Sources for the Recovery of the Primary Transmission of Euclid's Elements into Arabic, Ragep (F. J.) & Ragep (S. R.) with Livesey (St.), eds., in: Tradition, Transmission, Transformation, Proceedings of Two Conferences on Pre-modern Science held at the University of Oklahoma, E. J. Brill, Leiden, 1996, p. 201-225 | MR | Zbl

[7] H. L. L. Busard, The Translation of the Elements of Euclid from the Arabic into Latin by Hermann of Carinthia (?): Books I-VI, E. J. Brill, 1968 | MR | Zbl

[8] H. L. L. Busard, The Translation of the Elements of Euclid from the Arabic into Latin by Hermann of Carinthia (?): Books VII-XII, Mathematisch Centrum, 1977 | Zbl

[9] H. L. L. Busard, The First Latin Translation of Euclid's Elements Commonly Ascribed to Adelard of Bath, Pontifical Institute of Mediaeval Studies, 1983 | Zbl

[10] H. L. L. Busard, The Latin Translation of the Arabic Version of Euclid's Elements Commonly Ascribed to Gerard of Cremona, 1983 | MR | Zbl

[11] A. Djebbar, Quelques commentaires sur les versions arabes des Éléments d'Euclide et sur leur transmission à l'Occident musulman, in: Mathematische Probleme im Mittelalter. Der lateinische und arabische Sprachbereich, Harrassowitz Verlag, In Kommission, Wiesbaden, 1996, p. 91-114

[12] G. Endress, Ṭīna, in: Encyclopaedia of Islam, X, T-U, E. J. Brill, Leiden, 2000, p. 530

[13] Euclid, Euclidis Elementa, vol.I, Libri I-IV cum appendicibus. Post I.L. Heiberg edidit E.S. Stamatis, BSB B.G. Teubner Verlagsgesellschaft, 1969 | Zbl

[14] Euclid, Euclidis Elementa, vol. II, Libri V-IX cum appendicibus. Post I.L. Heiberg edidit E.S. Stamatis, BSB B.G. Teubner Verlagsgesellschaft, 1970 | Zbl

[15] Euclid, Euclidis Elementa, vol. V,1. Prolegomena critica, libri XIV-XV, scholia in libros I-V. Post I.L. Heiberg edidit E.S: Stamatis, BSB B.G. Teubner Verlagsgesellschaft, 1977

[16] Ibn Al-Qifṭi, Ibn al-Qifṭī's Tarīkh al-ḥukamā', 1903

[17] Ibn Al-Nadim, Kitab al-Fihrist von Abu l-Farag Muhammad b.Ishaq, bekannt unter dem Namen Ibn Abi Ja'qub el-Nadim, hrsg. von G.Flügel, J.Roediger und A.Müller, Bd.1, 1871-1872

[18] Ibn Sina, Kitāb al-Shifā'. al-Fann al-awwal min jumlat al-‘ilm al-riyāḍī. Uṣūl al-handasa, 1976

[19] Ibn Al-Muqaffa‘, Daneshpazhuh, M.T., al-Manṭiq., Tehran, 1978

[20] K. Jaouiche, Naẓariyyat al-mutawāziyāt fi l-handasa al-islamiyya, Bayt al-ḥikmat Qartāj, 1988 | MR | Zbl

[21] W. R. Knorr, “The wrong text of Euclid: on Heiberg's text and its alternatives”, Centaurus 38 (1996), p. 208-276 | MR | Zbl

[22] S. Rommevaux, A. Djebbar & B. Vitrac, “Remarques sur l'histoire du texte des Éléments d'Euclide”, Arch. Hist. Exact Sci. 55 (2001), p. 221-295 | MR | Zbl

[23] F. A. Shamsi, “Al-Fārābī's Treatise on Certain Obscurities in BooksI andV of Euclid's Elements”, J. History Arabic Science 8 (1984), p. 31-59 | MR | Zbl