41. 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. .

42. Il Giardino Di Archimede: Pitagora Translate this page scheda3_1.gif, La dimostrazione di thabit ibn qurra. La dimostrazione seguenteè attribuita al matematico arabo thabit ibn qurra (826-901). http://www.math.unifi.it/archimede/archimede/pitagora/exh_pitagora/scheda3.html

Il giardino di Archimede Un museo per la matematica Pitagora e il suo teorema Un'altra dimostrazione semplicissima. dimostrazione visiva e spiegazione di Airy dimostrazione di Thabit Ibn Qurra La Sembra 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. Mi presento, signori, eccomi qui: a + b Con due triangoli sopra, chiedo scusa* Ma se questi di sotto stanno quieti Si formano i quadrati dei cateti. *Di "chiedo scusa", amici, chiedo scusa, non ho la rima dell’ipotenusa ... La dimostrazione di Thabit Ibn Qurra. Pagina principale Pitagora e il suo teorema Pagina precedente Pagina successiva ... Links

43. 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

44. Math Forum - Ask Dr. Math Pythagorean Theorem Proof (thabit ibn qurra). It's the second of the proofsgiven by thabit ibn qurra. The first one is essentially the 2 above. 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.com/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.

45. 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

46. QURRA thabit ibn qurra. (836901 AD). thabit ibn qurra ibn Marwan al-Sabi al-Harraniwas born in the year 836 AD at Harran (present Turkey). http://hahsim.s5.com/scientists/qurra.html

Free Web site hosting - Freeservers.com 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.

47. Loq-Man Translations above. There they worked with Hunayn and later also with thabit ibn qurra.Hunayn became thabit ibn qurra (836 901). thabit ibn qurra http://www.loqmantranslations.com/ArabicFacts/ArabTranslators.html

ARAB TRANSLATORS Home Sitemap Company About us Services Translation Software Localization ... Consulting Translators Forum Translator's Form Translator's Help Contact Us Abu Zayd Hunayn ibn Ishaq al-Ibadi (808 - 873) Hunayn ibn Ishaq is most famous as a translator. He was not a mathematician but trained in medicine and made his original contributions to the subject. However, as the leading translator in the House of Wisdom at one of the most remarkable periods of mathematical revival, his influence on the mathematicians of the time is of sufficient importance to merit his inclusion in this archive. His son Ishaq ibn Hunayn, strongly influenced by his father, is famed for his Arabic translation of Euclid's Elements. Hunayn's father was Ishaq, a pharmacist from Hira. The family were from a group who had belonged to the Syrian Nestorian Christian Church before the rise of Islam, and Hunayn was brought up as a Christian. Hunayn became skilled in languages as a young man, in particular learning Arabic at Basra and also learning Syriac. To continue his education Hunayn went to Baghdad to study medicine under the leading teacher of the time. However, after falling out with this teacher, Hunayn left Baghdad and, probably during a period in Alexandria, became an expert in the Greek language. Hunayn returned to Baghdad and established contact with the teacher with whom he had fallen out. The two became firm friends and were close collaborators on medical topics for many years.

48. Islam Translate this page Elles sont l'oeuvre de mathématiciens comme thabit ibn qurra (826-901) et suscitéespar les besoins de la nouvelle société, en astronomie, en optique, en http://www.sfrs.fr/e-doc/islam.htm

Islam ... Ainsi s'exprime le barbier dans Les Mille et Une Nuits Thabit ibn Qurra Muhammad ibn Musa al-Khwarizmi Kitab al-jabr wa al-muqabala dans lequel al-jabr et al-muqabal racine ou chose Ibn Turk Thabit ibn Qurra , revient aux Suite Occident

49. The University Of Illinois At Chicago Department Of Classics And Mediterranean S Forthcoming Publications With Amos Bertolacci, thabit ibn qurra's Concise Expositionof Aristotle's Metaphysics Text, Translation, Commentary, in thabit http://www.uic.edu/las/clas/David_Reisman.html

Previous Faculty List Next David C. Reisman , BA, MA (1993, Boston University), PhD (2001, Yale University) Assistant Professor of Arabic-Islamic Thought Areas of Research and Publication: Medieval Arabic-Islamic Philosophy (particularly Avicenna and the Avicennan Tradition); Graeco-Arabic translation movement in medieval Islam (social and political contexts); Arabic history and historiography (Mamluk period); Arabic codicology and paleaography; medieval Arabic grammar and literary theory. Recent Publications: The Making of the Avicennan Tradition: The Transmission, Contents, and Structure of Ibn Sina's al-Mubahathat (The Discussions) , Leiden: Brill, 2002. "Avicenna at the ARCE," in R. Wisnovsky, ed. Aspects of Avicenna (Princeton Papers: Interdiscplinary Journal of Middle Eastern Studies, vol. 10), Princeton, N.J.: Markus Wiener, 2000, pp. 131-182. "Miskawayh's Ethics in Andalus? (Philologica Arabica I)," Yale University Library Gazette , Supplement 4 (1999), pp. 1-7. "Ibn al-Athir,"

50. 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 340 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

51. Arabic Numerals Ibrahim ibn Sinan ibn thabit ibn qurra (908946) who introduced a methodof integration in studying the quadrature of the parabola. http://www.arabicnumerals.cwc.net/

By M Erhayiem The IBM World Book Encyclopaedia raises the question as how the Arabic Numerals originated (!?) as appeared in an article contributed by Nadine L. Verderber, Ph.D., Prof. of Mathematics, Southern Illinois Univ., Edwardsville. The article states, as such, "Scholars do not know how Arabic numerals originated." "The Hindus developed the zero sometime after A.D. 600." The World Book Multimedia Encyclopaedia has largely ignored the work of the Scientists during the Islamic and the Arabic medieval era. The contributions of the Muslims and Arabs in the field of Mathematics were very significant. The great Harvard historian of science, Professor George Sarton wrote in his monumental Introduction to the History of Science[4]: "From the second half of the 8th to the end of the 11th century, Arabic was the scientific, the progressive language of mankind... When the West was sufficiently mature to feel the need of deeper knowledge, it turned its attention, first of all, not to the Greek sources, but to the Arabic ones." O'Connor and Robertson[2] published various articles about the contribution of those forgotten brilliance. Muhammad ibn Musa al-Khawarizmi Yaqub ibn Ishaq al-Kindi (801-873 A.D.), a Philosopher and Mathematician, who wrote many works on arithmetic, including: the numbers, relative quantities, measuring proportion and time, and numerical procedures. He also wrote on space and time.

52. Muslim Contribution To Science 826 901 ibn qurra, thabit; mathematician. 865- 923 Razi, al- (Rhazes); alchemist,philosopher, physician. 839- 923 Tabari, al-; historian, theologian. http://www.umr.edu/~msaumr/reference/articles/science/contributors.html

53. Encyclopædia Britannica Abu Said Sinan ibn thabit ibn qurra University of St.Andrews Brief introductionto the life and works of this Iraqi mathematician known for writings in http://search.britannica.com/search?query=ibn battutah&fuzzy=N&ct=igv&start=6&sh

54. Encyclopædia Britannica thabit ibn qurra Arab mathematician, astronomer, physician, and philosopher, arepresentative of the flourishing ArabIslamic culture of the 9th century. http://search.britannica.com/search?query=ibn battutah&fuzzy=N&ct=eb&start=8&sho

55. Muslim Scientist And Thinkers -- INDEX Jabir ibn Haiyan died 803 Mohammad Bin Musa alKhawarizmi died 840 Yaqub ibn Ishaqal-Kindi 800 thabit ibn qurra 836 Ali ibn Rabban al-Tabari 838 Abu Abdullah http://www.princeton.edu/~humcomp/scholars.html

Muslim Scholars and Thinkers Through the 14th Century Jabir Ibn Haiyan died 803 Mohammad Bin Musa al-Khawarizmi died 840 Yaqub Ibn Ishaq al-Kindi Thabit Ibn Qurra Ali Ibn Rabban al-Tabari Abu Abdullah al-Battani ... Abul Hasan Ali al-Masu'di died 957 Abu al-Qasim al-Zahrawi Abul Wafa Muhammad al-Buzjani Abu Ali Hasan Ibn al-Haitham Abu al-Hasan al-Mawardi ... Ibn al-Baitar died 1248 Nasir al-Din al-Tusi Jalal al-Din Rumi Ibn al-Nafis Ibn Khaldun

56. The Time Of Al-razi IBRAHIM ibn SINAN Abu Ishaq Ibrahim ibn Sinan ibn thabit ibn qurra.Born in 9089, died in 946. Grandson of thabit ibn qurra (qv http://www.levity.com/alchemy/islam15.html

History of Islamic Science 4 Based on the book Introduction to the History of Science by George Sarton (provided with photos and portraits) Edited and prepared by Prof. Hamed A. Ead These pages are edited by Prof. Hamed Abdel-reheem Ead, Professor of Chemistry at the Faculty of Science -University of Cairo, Giza, Egypt and director of the Science Heritage Center E-mail: ead@frcu.eun.eg Web site: http://www.frcu.eun.eg/www/universities/html/hamed2.htm Back to Islamic Alchemy The Time of Al-Mas'udi First Half of Tenth Century The overwhelming superiority of Muslim culture continued to be felt throughout the tenth century. Indeed, it was felt more strongly than over, not only the foremost men of science were Muslims, but also because cultural influences are essentially cumulative. By the beginning, or at any rate by the middle of the century, the excellence of muslim science was already so well established, even in the West, that each new arabic work benefited to some extent by the prestige pertaining to all. To be sure, other languages, such as Latin, Greek, or Hebrew were also used by scholars, but the works written in those languages contained nothing new, and in the field of science, as in any other, when one ceases to go forward, one already begins to go backward. All the new discoveries and the new thoughts were published in arabic. strangely enough, the language of the Qur'an had thus become the international vehicle of scientific progress. The development of Muslim culture was fostere in Spain by the eighth Umayyad caliph of the west, Abd al-Rahman II, the advances of Muslim science continued to take place almost extensively in the east.

57. The Time Of Al-razi thabit ibn qurra Abu Hassan thabit ibn qurra Marawan alHarrani, that is, from Harran,Mesopotamia, born 826-27 (or 835-36), flourished in Bagdad, died in 901. http://www.levity.com/alchemy/islam14.html

History of Islamic Science 3 Based on the book Introduction to the History of Science by George Sarton (provided with photos and portraits) Edited and prepared by Prof. Hamed A. Ead These pages are edited by Prof. Hamed Abdel-reheem Ead, Professor of Chemistry at the Faculty of Science -University of Cairo, Giza, Egypt and director of the Science Heritage Center E-mail: ead@frcu.eun.eg Web site: http://www.frcu.eun.eg/www/universities/html/shc/index.htm Back to Islamic Alchemy Back to reference library The Time of Al-Razi Second Half of Ninth Century The whole ninth century was essentially a Muslim century. This more clear in the second half than of the first, since all the scientific leaders were Muslims, or at any rate were working with and for Muslims and wrote in Arabic. Cultural Background Abbasid Caliph Al-Mutawakkil (847-861) continued to protect men of science, chiefly the physicians, and he encouraged the school of translators headed by Hunain ibn Ishaq. Da ud al-Zahiri founded a new school of theology, based upon a more literal interpretation of the Qur'an; however, did not survive very long. Muslim published a new collection of traditions, arranged according to legal topics, like Bukhari's, but more theoretical. The Egyptian Dhul-Nun is generally considered the founder of Sufism, that is, of Muslim mysticism.

58. Ayman's Home Page Khaldun ibn Sina Jabir ibn Haiyan Jalal alDin Rumi Mohammad Bin Musa al-KhawarizmiMohammad ibn Zakariya al-Razi Omar al-Khayyam thabit ibn qurra Yaqub ibn http://ahram.org/islamic/muslim_scientist.htm

Muslim Scientists Abu Abdullah al-Battani Abu al-Hasan al-Mawardi Abu Ali Hasan Ibn al-Haitham Abu al-Nasr al-Farabi ... Yaqub Ibn Ishaq al-Kindi Please Send your comments to www.ahram.org

59. UK Moon Sighting Home Page Contents Jabir ibn Haiyan died 803 Mohammad Bin Musa alKhawarizmi died 840 Yaqubibn Ishaq al-Kindi 800 thabit ibn qurra 836 Ali ibn Rabban al-Tabari 838 Abu http://www.ummah.net/moonsighting/scholars.htm

60. Biblioteca Translate this page 890 DESCRIPCION DE LAS FIGURAS FORMADAS POR thabit ibn qurra. 891 LIBROSOBRE EL INSTRUMENTO QUE INDICA LAS HORAS thabit ibn qurra. 1239? http://es.geocities.com/soliombra/biblioteca.htm

El mundo de los Relojes de Sol en una página Juan Serra Busquets Relojes de sol, Rellotges de sol, Relógios de sol, Orologio solari, Sundials, Cadrans solaires, Sonnenuhren, Gnomónica BIBLIOTECA Esta es la relación de los libros sobre gnomónica que yo conozco, salvo error u omisión. Cualquier aportación que ayude a aumentarla será bienvenida. Gracias. LIBROS CONOCIDOS POR REFERENCIAS VARIAS, HASTA EL SIGLO XIX MANUSCRITOS LIBROS DE LOS SIGLOS XX Y XXI AUTORES MALLORQUINES ... LIBROS EN ITALIANO LIBROS ANTIGUOS CONOCIDOS POR REFERENCIAS VARIAS 30 a.C DE ARCHITECTURA (TOMO IX) M. L. Vitruvio DE TEMPORIBUS y TEMPORUM RATIONE San Bede el Venerable (673-735) TIBERIUS HOROLOGIUM Monjes del norte de Inglaterra DESCRIPCION DE LAS FIGURAS FORMADAS POR... Thabit Ibn Qurra LIBRO SOBRE EL INSTRUMENTO QUE INDICA LAS HORAS...Thabit Ibn Qurra TRACTATUS DE QUADRANTE Sacrobosco QUADRANS VETUS Johannes Anglicus MANUSCRITO DESCRIBIENDO MUCHOS TIPOS DE RELOJES Abul Hhassan QUADRANS NOVUS Profetius QUADRATUM HORARIUM GENERALE J. Regiomontanus

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 3     41-60 of 99    Back | 1  | 2  | 3  | 4  | 5  | Next 20