Abū al-Wafā’ Latinus? A study of method

Historia Mathematica - Tập 39 - Trang 34-83 - 2012
Dominique Raynaud

Tài liệu tham khảo

Archibald, 1915 Ardüser, 1646 Arrighi, 1966 Bachot, 1598 Bechmann, 1991 Benedetti, 1553 Björnbo, 1911, Die mathematischen S. Marcohandschriften in Florenz, Bibliotheca Mathematica, 12, 97 Boncompagni, B., 1862. Scritti di Leonardo Pisano, vol. II. Leonardi Pisani Practica geometriae ed opuscoli. Tipografia delle Scienze Matematiche e Fisiche, Roma. Boulenger, 1690 Bovelles, 1547 Burnett, C., 1995. Master Theodore, Frederick II’s Philosopher. Federico II e le nuove culture. Spoleto, pp. 225–285. Busard, 1969, Die Vermessungstraktate Liber Saydi Abuothmi und Liber Aderameti, Janus, 56, 161 Busard, 1974, Ein mittelalterlicher Euklid-Kommentar, der Roger Bacon zugeschrieben werden kann, Archives Internationales d’Histoire des Sciences, 24, 199 Busard, 1998 Būzjānī, Abū al-Wafā’, 1966. Kitāb fī mā yaḥtāju ilayhi al-ṣāni‘ min al-a‘māl al-handasiyya [Book on those Geometric Constructions Needed by Craftsmen]. In: Krasnova, S.A. (Ed.), Abu-l-Vafa al-Buzdjani, Kniga o tom, chto neobhodimo remeslenniku iz geometricheskih postroenij, Fiziko-Matematicheskie Nauki v Stranah Vostoka 1, pp. 56–130. Būzjānī, Abū al-Wafā’, 1979. Mā yaḥtāju ilayhi al-ṣāni‘ min ‘ilm al-handasa [Knowledge of the Science of Geometry Needed by Craftsmen], ḥaqqaqahu wa-qaddama la-hu Sāliḥ Aḥmad al-‘Alī. Markaz Iḥyā’ al-Turāth al-‘Ilmī al-‘Arabī, Jāmi‘at Baghdād. Būzjānī, Abū al-Wafā’, 1990. Handasa-i Irāni. Kitāb-i tijāra fī mā yaḥtāju ilayhi al-u‘mmāl wa al-sunna min al-ashkāl al-handasiyya [Iranian Geometry. Handbook on those Geometric Constructions Needed by the Artisans]. Alireza Jozbi, Tehran. Būzjānī, Abū al-Wafā’, 1997. Kitābe Nejārat [Carpenters’ Book]. In: Aghayani Chavoshi, J. (Ed.), L’Œuvre scientifique d’Abū al-Wafā’ al-Būzjānī, vol. II, Doctoral Dissertation. Université Paris VII. Būzjānī, Abū al-Wafā’, 2010. Ketāb Nejārat (Sur ce qui est indispensable aux artisans dans les constructions géométriques). Edited and translated from Persian into French by J. Aghayani Chavoshi. Miras-e Maktoob, Tehran. Campanus de Novara, 1482 Cardano, 1545 Clagett, 1954, A medieval Latin translation of a short Arabic tract on the hyperbola, Osiris, 11, 359, 10.1086/368586 Clagett, 1984 Clavius, 1591 Commandino, 1588 Coolidge, 1940 Copernicus, 1543 Crozet, 2010, De l’usage des transformations géométriques à la notion d’invariant: la contribution d’al-Sijzī, Arabic Sciences and Philosophy, 20, 53, 10.1017/S0957423909990087 Curze, 1887 De Young, 1984, The arabic textual traditions of Euclid’s elements, Historia Mathematica, 11, 147, 10.1016/S0315-0860(84)80006-3 De Young, 1991, New traces of the lost al-Hajjāj Arabic translations of Euclid’s Elements, Physis, 38, 647 De Young, 2005, Diagrams in the Arabic Euclidean tradition, Historia Mathematica, 32, 129, 10.1016/j.hm.2004.04.003 Donohue, J.J., 2003. The Buwayhid Dynasty in Iraq, 334 H./945 to 403 H./1012. E.J. Brill, Leiden. Euclid, 1990–2000. Les Eléments, trad. et comm. B. Vitrac, vol. 4. PUF, Paris. Folkerts, 1989 Galli Bibiena, 1711 Guessoum, 2008, Copernicus and Ibn al-ShāṠir, The Observatory, 128, 231 Hartner, 1973, Copernicus, the Man, the Work, and its History, Proceedings of the American Philosophical Society, 117, 413 Hartshorne, 2000 Hashemipour, 2007, Abū al-Wafā’ Muḥammad ibn Muḥammad ibn Yaḥyā al-Būzjānī, 188 Henry, 1883, Problèmes de géométrie pratique de Mydorge, énoncés et solutions, Bullettino di Bibliografia e di Storia delle Scienze Matematiche e Fisiche, 16, 514 Hirschvogel, 1543 Hogendijk, 1984, Greek and Arabic constructions of the regular heptagon, Archive for History of Exact Sciences, 30, 197, 10.1007/BF00328123 Hogendijk, 1986, Arabic traces of lost works of Apollonius, Archive for History of Exact Sciences, 35, 187, 10.1007/BF00357307 Hogendijk, J.P., 1993. The Arabic Version of Euclid’s ‘On Divisions’. In: Folkerts, M., Hogendijk, J.p. (Eds.), Vestigia Mathematica. Studies in Medieval and Early Modern Mathematics in Honour of H.L.L. Busard. GA, Amsterdam-Atlanta, pp. 143–162. Hösch, 1844, Geometria Deutsch (1472), 95 Høyrup, J., 2006. The Rare Traces of Constructional Procedures in Practical Geometries. Creating Shapes, A Workshop Held at the Max-Planck-Institut für Wissenschaftsgeschichte, Berlin (7–9 December 2006). Høyrup, 2008, The algorithm concept-tool for historiographic interpretation or red herring?, 261 Hughes, 2008 Hultsch, 1878 Ibn Khallikān, 1944. Biographical Dictionary, Translated from the Arabic by De Slane. Librairie du Liban, Beirut [Ibn Yūnus: vol. III, pp. 466–474]. Imhausen, 2002, The algorithmic structure of the Egyptian mathematical problem texts, 147 Ibn Yūnus, Kamāl al-Dīn, 1240. Sharḥ a‘māl al-handasiyya li Abū al-Wafā’ [Commentary on Geometric Constructions by Abū al-Wafā’]. Astān Quds Central Library, MS. 5357, Mashhad. Joyce, D.E., 1995. A Chronological List of Mathematicians. Clark University, Worcester, MA. Available from: <http://aleph0.clarku.edu/∼djoyce/mathhist/chronology.html> (accessed on 02.15.10). Kedar, 1995, The intercultural career of Theodore of Antioch, The Mediterranean Historical Review, 10, 164, 10.1080/09518969508569690 Knorr, 1989 Krasnova, 1966, Abu-l-Vafa al-Buzdjani, Kniga o tom, chto neobhodimo remeslenniku iz geometricheskih postroenij, Fiziko-Matematicheskie Nauki v Stranah Vostoka, 1, 131 Kubesov, 1969, On the geometrical treatise of al-Fārābī, Archives internationales d’Histoire des Sciences, 22, 50 Kubesov, A., Krasnova, S.A., Rosenfeld, B.A., et al., 1972. Al-Fārābī. Matematicheskie Traktaty. Izdat. Nauka Kazah. SSR, Alma-Ata. e-Leo. Archivio digitale di storia della tecnica e della scienza, 2010. Available from: <http://www.leonardodigitale.com>. L’Huillier, 1979 L’Huillier, 2003, Practical geometry in the middle ages and the renaissance, vol. 1, 185 Marolois, S., 1614–16. Opera Mathematica ou Œuvres Mathématiques, traictans de géométrie, perspective, architecture et fortification. Hondius, La Haye. All citations from the 2nd ed., Caesius, Amsterdam, 1628. Merton, 1973 Millás Vallicrosa, 1942 Milliet de Chales, 1974 Netz, 1999 Neugebauer, 1999, Sur une construction du miroir parabolique par Abū al-Wafā’ al Būzjānī, Arabic Sciences and Philosophy, 9, 261, 10.1017/S0957423900001351 Ozanam, 1694 Özdural, 2000, Mathematics and art: connections between theory and practice in the Medieval Islamic World, Historia Mathematica, 27, 171, 10.1006/hmat.1999.2274 Pacioli, 1494 Pappus, 1876–78. In: Hultsch, F. (Ed.), Pappi Alexandrini Collectionis quae supersunt, vol. I–VIII. Weidmann, Berlin. Peletier, 1573 Pico, 1597 Pomodoro, G., 1624. Geometria prattica (1599), Ed. with additions by G. Scala. Ruffinelli, Rome. Ragep, 2007, Copernicus and his Islamic predecessors. Some historical remarks, History of Science, 45, 65, 10.1177/007327530704500103 Rashed, 1997 Rashed, 2000 Ravaisson-Mollien, C., 1881. Les manuscrits de Léonard de Vinci. Tome 1. Le Manuscrit A de la Bibliothèque de l’Institut, publié en facsimilés avec transcription littérale. A. Quantin, Paris. Raynaud, 2007, Le tracé continu des sections coniques à la Renaissance: applications optico-perspectives, héritage de la tradition mathématique arabe, Arabic Science and Philosophy, 17, 299, 10.1017/S0957423907000422 Ritter, 2004, Reading Strasbourg 368: a thrice-told tale, 177 Rodet, 1883, Solutions des mêmes problèmes tirées d’ouvrages orientaux, Bullettino di Bibliografia e di Storia delle Scienze Matematiche e Fisiche, 16, 528 Rose, 1972, Commandino, John Dee and the De Superficierum Divisionibus of Machometus Bagdedinus, Isis, 63, 88, 10.1086/350843 Ryff, 1600 Saito, 2006, A preliminary study in the critical assessment of diagrams in greek mathematical works, Sciamvs, 7, 81 Saliba, 2007 Schwenter, D., 1618. Geometriae Practicae Novae et Auctae Libri IV. Halbmayer, Nuremberg. All citations from the reprint ed. Endters, Nuremberg, 1677. Sezgin, F., 1974. Geschichte des arabischen Schrifttums, Band V Mathematik bis ca. 430 H.E.J. Brill, Leiden. Simi, 1974 Suter, 1922, Das Buch des geometrischen Konstructionen des Abu’l Wefâ’, Abhandlungen zur Geschichte der Naturwissenschaften und Medizin, 4, 94 Tartaglia, 1560 Tummers, 1984, vol. 2 Viète, 1646, Supplementum Geometriae, 240 Wimsatt, 1981, Robustness, reliability and overdetermination, 124 Woepcke, 1855, Analyse et extrait d’un recueil de constructions géométriques par Aboûl Wafâ, Journal Asiatique, 5, 218 Youshkevich, 1981, Abū al-Wafā’, vol. 1, 39