41. Colloque Thabit Ibn Qurra de sa mort) (14-15 décembre 2001). Institut du Monde Arabe. Programme. http://chspam.vjf.cnrs.fr/Thabit.htm

COLLOQUE Institut du Monde Arabe Programme PROGRAMME 10 h - 10 h 30 : Ouverture Roshdi RASHED 10 h 30 - 12 h 30 Roshdi RASHED (CNRS) : (CNRS, IDEO du Caire) : L'astronomie. 15 h - 16 h 30 Roshdi RASHED Philippe ABGRALL (CNRS) : Les sections coniques. Christian HOUZEL (CNRS) : 16 h 30 : Pause 17 h - 18 h 30 Pascal CROZET (CNRS) : Le livre Sur la composition des rapports. 10 h - 12 h 30 Ahmed HASNAOUI (CNRS) : (CNRS) : La statique ( Conclusion par Roshdi RASHED

42. Tony Lévy Translate this page 2000f “thabit ibn qurra et l’infini numérique”, Pour la science (n°278 de l’édition française de Scientific American) 48-52. Trad. ital. http://chspam.vjf.cnrs.fr/Personnel/Levy.htm

Liste des publications (décembre 2001) Ouvrages Articles En cours de publication Comptes rendus email : tlevy@vjf.cnrs.fr Ouvrages Figures de l'infini. Les mathématiques au miroir des cultures , Paris, Ed. Seuil (279 p., bibl. index). 2002 (sous presse) : Maïmonide et les traditions scientifiques et philosophiques médiévales (arabe, hébreu, latin , Sous la direction de T. Lévy et R. Rashed , Peeters, Paris / Louvain (Coll. Ancient and Classical Sciences and Philosophy). Articles L'infini et le nombre chez H. Crescas (XIVe s) . Séminaire ENS; Collection Philosophie et mathématiques, n°31; 23 p. Pardès , vol II, pp. 7-29. Revue d'Histoire des Sciences , XLII (3), pp. 193-239. Guide des égarés Revue des études juives , CXLVIII (3-4), pp. 307-336. Judaïsme, sciences et techniques , Paris (Collection "Colloques Langues'O"), pp. 45-61. 1989d: éd. du recueil (Nov. 1989). in B. Ribémont (éd.), Le Moyen Age et la science , Paris, pp. 133-151. 1992a: "Mathématiques, infini et langage", Le genre humain Arabic Sciences and Philosophy in G. Freudenthal

43. Recherche : Théorème%20de%20Thabit-Ibn%20Qurra thabit-ibn qurra , Certification IDDN.Dans les fiches. 1 fiche trouvée. http://publimath.irem.univ-mrs.fr/cgi-bin/publimath.pl?r=théorème de Thabit-Ib

44. Recherche : Thabit-Ibn%20Qurra thabit-ibn qurra , Certification IDDN. Dans les fiches.1 fiche trouvée. 1, 1993 Repères. http://publimath.irem.univ-mrs.fr/cgi-bin/publimath.pl?r=Thabit-Ibn Qurra

45. Math Forum - Ask Dr. Math Associated Topics Dr. Math Home Search Dr. Math Pythagorean Theorem Proof(thabit ibn qurra). It s the second of the proofs given by thabit ibn qurra. http://mathforum.org/library/drmath/view/55457.html

Associated Topics Dr. Math Home Search Dr. Math Pythagorean Theorem Proof (Thabit ibn Qurra) Date: 03/28/2002 at 20:39:21 From: Natalie Bramlett Subject: Proving Pythag. th from cut-the-knot.com problem #24 Dr.Math, I am working on a proof from cut-the-knot.com, #24. I don't understand exactly what it is saying that I have to prove. I tried making the base triangle and 3,4,5 triangle and then going from there, but I don't know how they are forming the other triangles. If you could help me in any way I would greatly appreciate it. Thanks, Natalie Date: 03/28/2002 at 23:26:24 From: Doctor Peterson Subject: Re: Proving Pythag. th from cut-the-knot.com problem #24 Hi, Natalie. I presume you are referring to http://www.cut-the-knot.org/pythagoras/ http://mathforum.org/dr.math/ Associated Topics High School Geometry High School Triangles and Other Polygons Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age.

46. The Math Forum Trig/Calc Problem Of The Week Archive To find out more about him, visit the MacTutor History of Mathematics archivesIbrahim ibn Sinan ibn thabit ibn qurra. Highlighted solutions http://mathforum.org/calcpow/solutions/solution.ehtml?puzzle=45

47. History Of Astronomy: Persons (I) Math.). ibn Haiyan, Jabir (?803) Short biography (Or see here orhere.). ibn qurra see thabit ibn qurra (836-901); ibn qurra see http://www.astro.uni-bonn.de/~pbrosche/persons/pers_i.html

History of Astronomy Persons History of Astronomy: Persons (I) Ibn Al-Banna, al-Marrakushi (1256-1321) Short biography, references and links (MacTutor Hist. Math.) Ibn Haiyan, Jabir (?-803) Short biography (Or see here or here Ibn Qurra: see Thabit Ibn Qurra (836-901) Ibn Qurra: see Ibrahim, ibn Sinan ibn Thabit ibn Qurra (908-946) Ibn Rushd [Averroes; Abul Walid Mahommed Ibn Achmed, Ibn Mahommed Ibn Roschd] (1128-1198) Short biography and references From the Catholic Encyclopedia, 1913 Short biography (Or see here or here Ibn Sina [Avicenna] (980-1037) Short biography and references (MacTutor Hist. Math.) Short biography and references From the Catholic Encyclopedia, 1913 Short biography (Or see here or here Very short biography (Eric Weisstein's Treasure Trove) Crater Avicenna (lunar feature) Ibrahim, ibn Sinan ibn Thabit ibn Qurra (908-946) Short biography and references (MacTutor Hist. Math.) Ingalls, Albert (1888-1958) Very short biography (Eric Weisstein's Treasure Trove) Inghirami, Giovanni (1779-1851)

48. History Of Astronomy: Persons (Q) Math.); Very short biography and reference (infoplease.com). qurra see thabit ibnqurra (836901); qurra see Ibrahim, ibn Sinan ibn thabit ibn qurra (908-946). http://www.astro.uni-bonn.de/~pbrosche/persons/pers_q.html

History of Astronomy Persons History of Astronomy: Persons (Q) Qadi Zada, al'Rumi (1364-1436) Short biography and references (MacTutor Hist. Math.) Quensel, Conrad (1676-1732) Very short biographical data and links With a short biography in Swedish. Quetelet, Lambert Adolphe (1796-1874) Short biography and references (MacTutor Hist. Math.) Very short biography and reference (infoplease.com) Qurra: see Thabit Ibn Qurra (836-901) Qurra: see Ibrahim, ibn Sinan ibn Thabit ibn Qurra (908-946) Wolfgang R. Dick . Created: 16 Jan 1995. Latest update: 19 June 2001

49. Thabit Ibn Qurrah (Thebit), 836-901 C.E. thabit ibn QURRAH (THEBIT) (836 901 CE),by Dr. A. Zahoor. Click here to proceed. http://salam.muslimsonline.com/~azahoor/qurra.html

THABIT IBN QURRAH (THEBIT) (836 - 901 C.E.) by Dr. A. Zahoor Click here to proceed

50. Thabit Ibn Qurra Ibn Marwan Al-Sabi Al-Harrani (836 - 901 Ap.jc) http://www.ifrance.com/Farabi/qurra.html

Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani (836 - 901 ap.jc) 1-PRESENTATION Né dans l'année 836 APR. J.C. à Harran (Turquie présente). Comme le nom indique il était un membre de la secte Sabian fondamentalement, mais le grand mathématicien Muhammad Ibn Musulman Musa Ibn Shakir, il a impressionné par ses connaissances des langues, sa grande capacité scientifique, ce qui lui avalu d'intégrer le groupe scientifique à Bagdad qui était patronné par les Califes Abbasid. Là, il a étudié sous la direction des frères Musa. 2-CONTRIBUTIONS ET OEUVRES Thabit a contribué à plusieurs branches de science, particulièrement les mathématiques, l'astronomie et la mécanique, en plus de la traduction d' un grand nombre de travaux des grecs en arabe. Plus tard, il a été patronné par le Calife Abbasid al-M'utadid. Après une longue carrière, Thabit est mort à Bagdad en 901 APR. J.C.

51. Biography-center - Letter T thabit_ibn_QAYS.html; thabit ibn qurra, Abu l wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/thabit.html;Thackeray, William http://www.biography-center.com/t.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish T 361 biographies Tabern, Donalee L. www.invent.org/hall_of_fame/142.html Tacca, Ferdinand www.getty.edu/art/collections/bio/a451-1.html Tacquet, Andrea www-history.mcs.st-and.ac.uk/~history/Mathematicians/Tacquet.html Taft, Helen Herron www.whitehouse.gov/WH/glimpse/firstladies/html/ht27.html Taft, William Howard odur.let.rug.nl/~usa/P/wt27/about/taftbio.htm Tagore, Rabindranath www.nobel.se/literature/laureates/1913/tagore-bio.html Tahir, ibn www-history.mcs.st-and.ac.uk/~history/Mathematicians/Al-Baghdadi.html Taiga, Marton www.kirjasto.sci.fi/taiga.htm Taillandier, Vincent www.getty.edu/art/collections/bio/a1075-1.html Tait, Peter Guthrie www-history.mcs.st-and.ac.uk/~history/Mathematicians/Tait.html Takacs, Karoly

52. Thabit Ibn Qurrah (Thebit), 836-901 C.E. thabit ibn QURRAH (THEBIT) (836 901 CE). by Dr.A. Zahoor. Biography Available in the E-Book. http://www.cyberistan.org/islamic/qurra.html

THABIT IBN QURRAH (THEBIT) (836 - 901 C.E.) by Dr. A. Zahoor Biography Available in the E-Book

53. Th\^abit Ibn Qurra - Mathematics And The Liberal Arts Th\^abit ibn qurra Mathematics and the Liberal Arts. To expand search,see The Islamic World. Th\^abit ibn qurra and the Pythagorean Theorem. http://math.truman.edu/~thammond/history/Thabit.html

To expand search, see The Islamic World . Laterally related topics: The Hindu-Arabic Numerals Abu Abdullah Muhammed ibn Musa al Khwarizmi Omar Khayyam (abu-l-Fath Omar ibn Ibrahim Khayyam) Nasir al-Din al-Tusi , and Abu Kamil (b. 850) The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Mathematics Teacher Elements , which was the basis for the translation by Gerard of Cremona. Reprinted in

54. Thabit Ibn Qurra - Wikipedia, The Free Encyclopedia BookReview - thabit ibn-qurra - Oeuvres D astronomieTitle Book-Review - thabit ibn-qurra - Oeuvres D astronomie Authors Morelon,R.; Ragep, FJ Journal JOURN. HISTORY OF ASTRONOMY V.23, NO. http://en.wikipedia.org/wiki/Thabit_ibn_Qurra

Thabit ibn Qurra From Wikipedia, the free encyclopedia. Thabit ibn Qurra abu' l'Hasan ibn Marwan al-Sabi al'Harrani February 18 ) was an Arab astronomer and mathematician . In Latin he was known as Thebit Thabit was born in Harran (antique Carrhae), Mesopotamia (now Turkey ). Upon the proposal of Muhammad ibn Musa ibn Shakir Thabit went to study in Baghdad to Shakir's brothers the Bani Mussa. He led a group of translators, who came from the pagan pseudo Sabeans from Harran. Arabic writters confound the Babylonian Sabeans from the Harrarian Sabeans. Harrarian Sabeans respected stars and for this reason they have very soon showed a great interests for astronomy and mathematics . In the times of Muslim supremacy they have accepted the name Sabean to get benefits from privileges that were allowed by the Ko'ran . This name later ramained and this strange sect have lived in vicinity of the main center of the Caliphate till the half of the 13th century , when the Mongols have destroyed their last shrine. Their merits in the spiritual and scientifical fields have with no doubt helped them to get a protection from the Muslims . In the times of al - Mutawakkil reign their city became a center of the philosophical and medical school, which was transferred from

55. Ibrahim Translate this page Ibrahim ibn Sinan ibn thabit ibn qurra. Ibrahim ibn Sinan ibn thabitibn qurra(né en 908 à Bagdad, mort en 946 à Bagdad, (Iraq)). http://membres.tripod.fr/alkashi/ibrahim.htm

Ibrahim ibn Sinan ibn Thabit ibn Qurra Ibrahim ibn Sinan ibn Thabit ibn Qurra( né en 908 à Bagdad mort en 946 à Bagdad, (Iraq) Ibrahim ibn Sinan était un petit fils de Thabit ibn Qurra , il avait étudié la géométrie et en particulier les tangentes aux cercles. Il avait aussi étudié le mouvement apparent du Soleil et la géométrie des ombres. Il n'y a aucun doute qu'il n'était pas au jeune âge de trente-huit, il devait atteindre un degré gloire pour ses travaux mathématiques selon l'opinion de Sezgin qu'il était: ... un des plus importants mathématiciens dans le monde Islamique médiéval. Peut-être sa mort précoce lui avait volé la chance de faire une contribution plus importante que celle de son célèbre grand-père. Le plus important travail de Ibrahim était sur la quadrature de la parabole où il introduisit une méthode d'intégration plus général que celle faite par Archimède Son grand-père Thabit ibn Qurra avait commencé à examiner l'intégration en une différente façon de celle d' Archimède mais Ibrahim s'était rendu compte que Al-Mahani avait fait des améliorations sur ce que son grand-père avait réalisé. Pour Ibrahim ce ci est inacceptable:

56. Manuscripts Of Astrological Image Magic Catalogue 1497. De imaginibus. thabit ibn qurra. CAT. Canterbury, St Augustine sAbbey, 1275. pp. 7191. s. xvi, 1510. Liber prestigiorum. thabit ibn qurra. MSS. http://duke.usask.ca/~frk302/MSS/images.html

Manuscripts of Astrological Image Magic Shelfmark folio/pages Date Title Author MSS/PRI/CAT* f. 180vb Liber de anulis et imaginibus Hermes MSS f. 31ra De quindecim stellis Hermes MSS Berlin, Preussische Staatsbibliothek 956. f. 22 s. xii Liber de lapidibus filiorum Israel (Seals of Thetel) Thetel MSS Berlin, Preussische Staatsbibliothek 964 ff. 213r- s. xv De imaginibus Thebit ibn Qurra MSS Berlin, Preussische Staatsbibliothek 964 f. 215r s. xv Hermes MSS Berlin, Preussische Staatsbibliothek 964 f. 215v s. xv Ptolemy MSS Bologna 139/105 ff. 281- s. xiv Septem tractatus in operatione Solis et Lune Hermes MSS Bratislave. Univerzitnej Kniznice, MS 1167 (E 796) ff. 4b- s. xvii De sigillis Planetarum MSS Cambridge, Corpus Christi College 243 f. 1v s. xiii- xiv [lapidiary - part of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 27 s. xiii- xiv de sculturis lapidum [here book 3 of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 40b. s. xiii- xiv de consecratione lapidum [here part of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 20v

57. Math Words Page 13 thabit ibn qurra discovered, and proved, a rule for creating amicablepairs in the ninth century. St Andrews web page tells us that http://www.pballew.net/arithm13.html

Math Words, pg 13 Back to Math Words Alphabetical Index Aliquot parts of a number are proper divisors of the number that are smaller than the number. The aliquot parts of six are one, two, and three. The word joins two unlikely partners, the Latin ali for "other" and quot for how many. Together they came to mean a part of something, in this case, a part of the number of which it is a factor. The "other" meaning of ali remains today in words like alius, alibi, and alien. The quot root remains in quotient. Aliquot chains, sometimes called sociable chains , are formed by taking the sum of the aliquot parts and adding them to form a new number, then repeating this process on the next number. For some numbers, the result will bring you directly back to the original number. In that case the two numbers are called amicable numbers . For example, 220 and 284 are amicable numbers. The divisors of 220 are 1, 2, 3, 4, 10, 11, 20, 22, 44, 55, 110 and if you add all these numbers together, you can see they sum to 284. The aliquot parts of 284 are 1, 2, 4, 71, 142 and these sum to 220. The relationship between 220 and 284 was known at least as far back as Pythagorus (500 BC). Sam Kutler has written to tell me that the first use of a term like "friend" for the pair was in a commentary on the work of Nicomachus by Iamblichus, around 300 AD. He also thought the Greek term was

58. Encyclopedia4U - Thabit Ibn Qurra - Encyclopedia Article thabit ibn qurra. thabit ibn qurra abu l Hasan ibn Marwan alSabi al Harrani,(826 - February 18, 901) was an Arab astronomer and mathematician. http://www.encyclopedia4u.com/t/thabit-ibn-qurra.html

ENCYCLOPEDIA U com Lists of articles by category ... Encyclopedia Home Page SEARCH : Thabit ibn Qurra Thabit ibn Qurra abu' l'Hasan ibn Marwan al-Sabi al'Harrani February 18 ) was an Arab astronomer and mathematician . In Latin he was known as Thebit Thabit was born in Harran (antique Carrhae), Mesopotamia (now Turkey ). Upon the proposal of Muhammad ibn Musa ibn Shakir Thabit went to study in Baghdad to Shakir's brothers the Bani Mussa. He led a group of translators, who came from the pagan pseudo Sabeans from Harran. Arabic writters confound the Babylonian Sabeans from the Harrarian Sabeans. Harrarian Sabeans respected stars and for this reason they have very soon showed a great interests for astronomy and mathematics . In the times of Muslim supremacy they have accepted the name Sabean to get benefits from privileges that were allowed by the Ko'ran . This name later ramained and this strange sect have lived in vicinity of the main center of the Caliphate till the half of the 13th century , when the Mongols have destroyed their last shrine. Their merits in the spiritual and scientifical fields have with no doubt helped them to get a protection from the Muslims . In the times of al - Mutawakkil reign their city became a center of the philosophical and medical school, which was transfered from

59. Jabir_ibn_Aflah Both may be based on the work of thabit ibn qurra, or the work of ibn Aflah, Abu lWafa,and thabit ibn qurra may all be based on some still unknown source. http://homepages.compuserve.de/thweidenfeller/mathematiker/Jabir_ibn_Aflah.htm

al-Ishbili Abu Muhammad Jabir ibn Aflah Born: about 1100 in possibly Seville Died: about 1160 Jabir ibn Aflah is often known by the Latinised form of his name, namely Geber. Although not he was not in the first rank of Arabic mathematicians, he is important in the development of mathematics since his works were translated into Latin, and so became available to European mathematicians, whereas the work of some of the top rank Arabic mathematicians such as Abu'l-Wafa were not translated into Latin. Very little information is available regarding Jabir ibn Aflah's life. That he came from Seville is known from two sources. Firstly he is described as "al-Ishbili" in manuscripts containing his treatises; this means "from Seville". The other source gives us not only the information that he came from Seville, but also a good estimate for the period in which he lived. The information comes from Maimonides. Moses Maimonides, whose Arabic name was Abu 'Imran Musa ibn Maymun ibn 'Ubayd Allah, was a Jewish philosopher, jurist, and physician who was born in Córdoba in 1135. Among many important works he wrote The Guide of the Perplexed in Arabic in which he writes of:- ... ibn Aflah of Seville, whose son I have met ...

60. Menelaus Three books on the Elements of Geometry , edited by thabit ibn qurra, and TheBook on the Triangle . Some of these have been translated into Arabic. http://homepages.compuserve.de/thweidenfeller/mathematiker/Menelaus.htm

Menelaus of Alexandria Born: about 70 in (possibly) Alexandria, Egypt Died: about 130 Although we know little of Menelaus of Alexandria 's life Ptolemy records astronomical observations made by Menelaus in Rome on the 14th January in the year 98. These observation included that of the occultation of the star Beta Scorpii by the moon. He also makes an appearance in a work by Plutarch who describes a conversation between Menelaus and Lucius in which Lucius apologises to Menelaus for doubting the fact that light, when reflected, obeys the law that the angle of incidence equals the angle of reflection. Lucius says (see for example [1]):- In your presence, my dear Menelaus, I am ashamed to confute a mathematical proposition, the foundation, as it were, on which rests the subject of catoptrics . Yet it must be said that the proposition, "All reflection occurs at equal angles" is neither self evident nor an admitted fact. This conversation is supposed to have taken place in Rome probably quite a long time after 75 AD, and indeed if our guess that Menelaus was born in 70 AD is close to being correct then it must have been many years after 75 AD. Very little else is known of Menelaus's life, except that he is called Menelaus of Alexandria by both Pappus

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