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         Qurra Thabit Ibn:     more books (24)
  1. Greek-syriac Translators: Hunayn Ibn Ishaq, Thabit Ibn Qurra, Masawaiyh, Sergius of Reshaina
  2. People From Sanliurfa Province: People From Sanliurfa, Thabit Ibn Qurra, Ibrahim Tatlises, Fuat Necati Öncel, Abdurrahman Yalçinkaya, Ali Yasak
  3. Medieval Science of Weights (Scienta De Ponderibus): Treatises Acribied to Euclid, Archimedes, Thabit Ibn Qurra, Jordanus De Nemore and Blasius of Parma by Ernest A. and Marshall Clagett Moody, 1952
  4. Roshdi Rashed (ed.). Thabit ibn Qurra: Science and Philosophy in Ninth-Century Baghdad.(Book review): An article from: Islam & Science by Muzaffar Iqbal, 2010-06-22
  5. Décès En 901: Francon, Thabit Ibn Qurra, Antoine Ii de Constantinople (French Edition)
  6. The Medieval Science of Weights by Archimedes, Thabit ibn Qurra, Jordanus de Nemore, Blasius of Parma; edited by Ernest A. Moody & Marshall Clagett Euclid, 1952
  7. Medieval Science of Weights (Scientia de Ponderibus): Treatises Ascribed to Euclid, Archimedes, Thabit ibn Qurra, Jordanus de Nemore and Blasius of Parma. by Ernest A. and Marshall Clagett (eds). Moody, 1952
  8. The astronomical works of Thabit B. Qurra by Thabit Ibn Kurrah, 1960
  9. Le Livre Du Qarastun De Tabit Ibn Qurra: Etude Sur L'Origine De LA Notion De Travail Et Du Calcul Du Moment Statique D'Une Barre Homogene (Collection de ... d'histoire des sciences) (French Edition) by K. Jaouiche, 1997-08

21. - Great Books -
thabit ibn qurrah alHarrani (826-901), thabit ibn qurra ibn Marwan al-Sabial-Harrani was born in the year 836 AD at Harran (present Turkey).
http://www.malaspina.com/site/person_968.asp
Thabit ibn Qurrah al-Harrani
Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 A.D. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 A.D.
Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticised a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

22. 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

23. Thabit Ibn Qurrah Al-Harrani (826-901) Library Of Congress
French Arabic. 1987 Title uvres d'astronomie / thabit ibn qurra ; texte betabliet traduit par Rbegis Morelon. Published Paris Les Belles Lettres, 1987.
http://www.malaspina.edu/~mcneil/cit/citlcqurra.htm

Thabit ibn Qurrah al-Harrani (826-901)
: Library of Congress Citations
The Little Search Engine that Could
Down to Name Citations National Library of Canada LC Online Catalog ... Free Email from Malaspina Book Citations [4 Records] Author: Thabit ibn Qurrah al-Harrani, d. 901. Uniform Title: Selections. Russian. 1984 Title: Matematicheskie traktaty / Sabit ibn Korra ; sostavitel' B.A. Rozenfel'd ; otvetstvennyfi redaktor toma A.P. kIlUshkevich. Published: Moskva : Izd-vo "Nauka", 1984. Description: 391 p. : ill. ; 27 cm. Series: Nauchnoe nasledstvo ; t. 8 LC Call No.: Q60 .N3 t. 8 QA27.A67 ISBN: 6.30rub Notes: Translations from the Arabic by B.A. Rozenfel'd et al. Includes index. Bibliography: p. 382-[385]. Subjects: Mathematics, Arab. Other authors: Rozenfel'd, B. A. (Boris Abramovich) kIlUshkevich, A. P. (Adol'f Pavolovich) Control No.: 84217609 //r933 Author: Thabit ibn Qurrah al-Harrani, d. 901. Uniform Title: A0dead al-mutarhabbah. Title: Kiteab al-A0dead al-mutarheabbah / li-Thabit ibn Qurrah ; tarhqeiq Arhmad Sa0eidean. Published: [Amman : s.n., 1977] ([S.l.] : Marteabi0 Dear al-Sha0b) Description: 56 p. ; 24 cm. LC Call No.: QA242 .T45 1977 Notes: Title on p. [4] of cover: Amicable numbers. "Tishrein al-Awwal 1977." Includes bibliographical references (p. 30-31). Subjects: Amicable numbers Early works to 1800. Other authors: Saidan, A. S. Other titles: A0dead al-mutarhabbah. Amicable numbers. Control No.: 87963184 /NE

24. Encyclopædia Britannica
Encyclopædia Britannica, thabit ibn qurra Encyclopædia Britannica Article. MLAstyle thabit ibn qurra. 2003 Encyclopædia Britannica Premium Service.
http://www.britannica.com/eb/article?eu=73767

25. Personalities In Islam Specifically Thabit Ibn Qurra
Personalities in Islam. thabit ibn qurra (836 901 CE). thabit ibn qurra ibn Marwanal-Sabi al-Harrani was born in the year 836 CE at Harran (present Turkey).
http://www.islamic-paths.org/Home/English/History/Personalities/Content/Qurra.ht
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Thabit Ibn Qurra
(836 - 901 CE)
Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 C.E. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 C.E.
Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticised a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

26. The History Of Islam And Personalities In Islamic History
thabit ibn qurra, thabit ibn qurra ibn Marwan alSabi al-Harrani contributed toseveral branches of science, notably mathematics, astronomy and mechanics, in
http://www.islamic-paths.org/Home/English/History/Personalities/Personalities.ht
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r Refresh / Home please sign our Guest Book Discussion Forums Search this page for any word - e.g. Muslim, women, etc. Pearls
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Personalities in Islam
People That Have Influenced Islamic Belief
Common Name Full Name (if different) and Description Last Posting 24 September 2000 We are looking for more biographies and material to add to this section. If you have material to share please forward it to us so we may post it for everyone to read and enjoy, insha Allah. Thank You.. Previous Posting ‘Abdu’l-Qadir al-Jilani Great 'ulama and charismatic leader of Islam. Abu Abdullah al-Battani Abu Abdallah Muhammad Ibn Jabir Ibn Sinan al-Battani al-Harrani was a famous astronomer, mathematician and astrologer. Abu al-Hasan al-Mawardi Abu al-Hasan Ali Ibn Muhammad Ibn Habib al-Mawardi was a great jurist, mohaddith, sociologist and an expert in Political Science. Abu al-Qasim al-Zahrawi Abul Qasim Khalaf ibn al-Abbas al-Zahrawi was a great surgeon. Abu Ali Hasan Ibn al-Haitham Abu Ali Hasan Ibn al-Haitham was one of the most eminent physicists, whose contributions to optics and the scientific methods are outstanding.

27. Thabit
Translate this page thabit ibn qurra. Al-Sabi thabit ibn qurra al-Harrani (né en 826à Harran, Mésopotamie (Turquie), mort le 18 Fev 901 à Bagdad
http://membres.tripod.fr/alkashi/thabit.htm
THABIT IBN QURRA
Al-Sabi Thabit ibn Qurra al-Harrani né en 826 à Harran, Mésopotamie (Turquie), mort le 18 Fev 901 à Bagdad, (en Iraq)
Thabit ibn Qurra
était né à Harran et était membre de la secte Sabienne qui vénérait les étoiles. Bien sur cela veut dire qu'il avait une grande motivation pour l'étude de l'astronomie et la secte avait produit beaucoup d'astronomes et mathématiciens. La secte, avec des solides relations avec les Grecs, avait adopté en premier temps la culture Grecque, et il était courant pour les membres de parler le Grec , après la conquête des Sabiens par l'Islam, ils commençaient à parler l'Arabe. Il y avait une autre langue parlée dans le sud-est de la Turquie, à savoir le Syriaque qui était la langue de la région natale de Thabit ibn Qurra , il était influencé par le Grec et l'Arabe. Quelques comptes-rendus disent que Thabit était échangeur d'argents quand il était jeune. Ce ci est plutôt possible mais quelques historiens ne sont pas d'accord. Certainement il avait hérité une grande fortune de sa famille et devait être issu d'une importante famille. Muhammad ibn Moussa ibn Shakir , qui avait visité Harran, était impressionné par le savoir de Thabit sur les langues en réalisant le potentiel du jeune homme, le persuada d'aller à Bagdad, il lui apprenait des leçons de mathématiques avec ses frères (frères Bani moussa A Bagdad Thabit recevait une formation en mathématique et en médecine, qui était courant pour les savants en ce temps. Il retourna à Harran mais sa philosophie libérale le conduisit à comparaître devant la court religieuseil devait abjurer ses ' hérésies '. Pour échapper aux persécutions il quitta Harran et avait été nommé astronome à la Court à Bagdad sous les ordres du Calife

28. 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:

29. Recherche : Thabit-Ibn%20Qurra
thabit-ibn qurra , Certification IDDN. Dans les fiches.1 fiche trouvée 1993 Repères. Num. 11. p. 47-62.
http://publimath.irem.univ-mrs.fr/cgi-bin/publimath.pl?r=Thabit-Ibn Qurra

30. SCIENZA ARABA
Translate this page SCIENZA ARABA. thabit ibn qurra, 221/836-288/901. Da Règis Morellon,Introduzione Matematico eccellente e medico apprezzato al suo
http://www.dismec.unige.it/testi/cosmo/Theb.htm
SCIENZA ARABA
THABIT IBN QURRA, 221/836-288/901
    Da Règis Morellon, Introduzione
    Matematico eccellente e medico apprezzato al suo tempo fu un celebre traduttore dal greco all'arabo, e revisionò i testi derivanti dal siriaco, essendo questa la sua lingua materna. Le fonti arabe non sono concordi nell'indicare l'anno della nascita. Originario di Harran, in Mesopotamia, era membro della setta dei Sabei, presso i quali si erano conservate vive le tradizioni ellenistiche. Questa regione era anche famosa per la costruzione degli astrolabi. In seguito a dissapori con i correligionari si trasferì a Bagdad su invito di Muhammad b. Musa b. Shakir, entrando nel circolo scientifico da lui fondato assieme ai suoi due fratelli.
    L'opera di Thabit b. Qurra si inserisce nel grande movimento scientifico che iniziò sotto l'impulso di al-Ma'mun che regnò dal 198/813 al 218/833. Sotto il suo regno furono costruiti due osservatori, uno a Damasco e l'altro a Bagdad e ampliò la famosa "Casa della sapienza" bayt al-hikma , un istituzione fondata sotto il regno di al-Mansur: era nello stesso tempo biblioteca generale, centro di ricerca e di traduzione dal siriaco o dal greco all'arabo. Accanto a questa istituzione operava nello stesso periodo il circolo fondato dai mecenati "fratelli Musa".

31. Storia Della Scienza-Indice Generale
Translate this page SCIENZA ARABA. thabit ibn qurra, 221/836-288/901. La misura della precessione.La precessione. thabit ibn qurra. © Tutti i diritti riservati.
http://www.dismec.unige.it/testi/cosmo/Theb11.htm
SCIENZA ARABA
THABIT IBN QURRA, 221/836-288/901
La misura della precessione
La critica a Tolomeo
dalla traduzione di Régis Morelon di Sull'anno solare di Thabit Ibn Qurra, Oeuvres astronomiques pag.30,8-17:
"Dato ciò che abbiamo detto, è necessario che il movimento della sfera delle stelle fisse sia connesso a quello dell'orbita del sole, quanto alla leggera differenza che interviene tra il risultato che abbiamo trovato per lo spostamento dell'apogeo del sole, nel tempo che va dall'osservazione degli antichi alla nostra osservazione, essa deriva da un errore di osservazione. La prova di ciò risiede nel fatto che quando Tolomeo ha fatto la sintesi dei suoi risultati, ha menzionato che il movimento della sfera delle stelle fisse era di 1 grado per secolo,mentre noi abbiamo trovato che il movimento della sfera delle stelle fisse è di un grado e mezzo per secolo circa.".
Questo passo è fondamentale perchè mostra come ben presto a Bagdad si mise a controllo i dati e i modelli di Tolomeo, mentre in Occidente si continuava a seguire l'astronomo greco, come Dante espressamente ancora riferisce nella Vita Nova e nel Convivio ,citando il compendio di Astronomia tolemaica di Al-Fargani, un astronomo della generazione precedente a Thabit Ibn Qurra. Per essere precisi la costante annuale di precessione trovata da Thabit è di 0;0,49,39, molto vicina alla misura di 50" per anno della tradizione sapienziale dell'antichità.

32. 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://cyberistan.org/islamic/qurra.html
THABIT IBN QURRAH (THEBIT)
(836 - 901 C.E.)
by
Dr. A. Zahoor
Biography Available in the E-Book

33. IslamiCity.com - A Sine On The Road To Makkah
qurra. thabit ibn qurra. (836901 AD). thabit ibn qurra ibn Marwan al-Sabial-Harrani was born in the year 836 AD at Harran (present Turkey).
http://islamicity.com/Science/Scientists/Qurra.shtml
window.document.write(sHeaderHTML) Quran Sunnah Radio Cyber TV ... Membership [FMP-INCLUDE:/global/TractInteract.htm] Search IslamiCity: Search Scope: + Quran Search + Phonetic Search + Hadith Search + Mosque Search + Media Search + Bazaar Search + Articles Search + Glossary Search + FP Archive Search
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THABIT IBN QURRA
(836-901 A.D.)
Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 A.D. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 A.D. Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticized a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

34. IslamiCity.com - A Sine On The Road To Makkah
thabit ibn qurra (Thebit), 836 901, Astronomy, Mechanics, Geometry, Anatomy. Aliibn Rabban al-Tabari, 838 - 870, Medicine, Mathematics, Calligraphy, Literature.
http://islamicity.com/Science/Scientists/
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(700 - 1400 A.D.) Name Years (A.D.) Description Jabir Ibn Haiyan (Geber)
Died 803 Chemistry (Father of Chemistry) Musa al-Khawarizmi (Algorizm) Mathematics, Astronomy, Geography (Algorithm, Algebra, Calculus) Yaqub Ibn Ishaq al-Kindi (Alkindus) Philosophy, Physics, Optics, Medicine, Mathematics, Metallurgy Thabit Ibn Qurra (Thebit) Astronomy, Mechanics, Geometry, Anatomy Ali Ibn Rabban al-Tabari Medicine, Mathematics, Calligraphy, Literature Al-Farghani (Al-Fraganus) Astronomy, Civil Engineering

35. THABIT IBN QURRA      ËÇÈÊ Èä ÞÑÉ
Translate this page ( 836-901 ). Abou Alhassen thabit ibn qurra .ÇÈæ ÇáÍÓä ËÇÈÊÈä ÞÑÉ. Mathématicien originaire de l'actuelle Turquie.
http://www.edunet.tn/ressources/resdisc/reseaumaths/historique/Ibnqurra.htm
Histoire des mathématiques - Thabit Ibn Korrah ËÇÈÊ Èä ÞÑå
THABIT IBN Korrah
Abou Alhassen Thabit Ibn Qurra . Mathématicien originaire de l'actuelle Turquie. Ses spécialités furent aussi l'astronomie, où il constata et étudia l'instabilité de l'inclinaison de l'écliptique, et la médecine qu'il exerça à Bagdad. Ses travaux portent sur les méthodes infinitésimales sur l'arithmétique et sur la géométrie euclidienne (traduction et analyse des Eléments d 'Euclide Il étudia en particulier les nombres parfaits (égaux à la somme de leurs diviseurs propres) et amicaux (dits aussi amiables : paire de nombres tels que l'un soit la somme des diviseurs propres de l'autre). Thabit énonça que si a, b et c sont des nombres premiers de la forme : a = 3 X 2 n - 1, b = 3 X 2 n-1 - 1 et c = 9 X 2 n+1 - 1, alors les nombres a X b X 2

36. 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

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

38. 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)
Wolfgang R. Dick . Created: 16 Jan 1995. Latest update: 19 June 2001

39. 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
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40. The Garden Of Archimedes: Pythagoras
scheda3_1.gif, The demonstration of thabit ibn qurra. The following demonstrationis attributed to the Arab mathematician thabit ibn qurra (826901).
http://www.math.unifi.it/archimede/archimede_inglese/pitagora/exh_pitagora/sched
The Garden of Archimedes
A Museum for Mathematics

Pythagoras and his Theorem
Another very simple demonstration.
visual demonstration and Airy's explanation demonstration of Thabit Ibn Qurra
The white area with the two yellow triangles forms the square of the hypothenuse, while with the two green triangles, equal to the previous ones, gives the squares of the cathets. Naturally, even here the visual evidence must be supported by a demonstration, which can be performed by anybody. It seems that the previous demonstration was found in 1855 by G. B. Airy , the Greenwich observatory astronomer from 1836 to 1881. In the white part of the figure, Airy wrote the poem that follows: I am, as you may see,
a + b
When two triangles on me stand,
But if I stand on them instead,
The squares of both sides are read.
The demonstration of Thabit Ibn Qurra.
The following demonstration is attributed to the Arab mathematician Thabit Ibn Qurra (826-901).
Starting from the right angled triangle ABC we make an irregular polygon ABDGLA by adding to the triangle the squares on the cathets ALHC and CBDE and the rectangle HCEG. This last one is divided by the diagonal GC in two right angled triangles, equal to the triangle ABC. Let now LI equal to BC and FD equal to AC; also the triangles ALI and BFD are equal to ABC. The same is true for the triangle IGF, because we have GI=AC and GF=BC. .

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