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Aryabhata I:     more detail

Aryabhata the Elder: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001 Aryabhata the Elder: An entry from Gale's <i>Science and Its Times</i> Aryabhata I and his contributions to mathematics by Parmeshwar Jha, 1988 Physical Science in India: An entry from Gale's <i>Science and Its Times</i> by William J. McPeak, 2001 The Mathematics of Ancient India: An entry from Gale's <i>Science and Its Times</i> by James J. Hoffmann, 2001 Ariabkhata: K 1500-letiiu so dnia rozhdeniia (Nauchno-bibliograficheskaia seriia) by A. I Volodarskii, 1977

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41. Aryabhata
    aryabhata est le premier grand mathématicien indien. Il  
    http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Aryabhata.html
    
    Extractions: La demi-corde, ancêtre du sinus En trigonométrie, dans son Aryabhatiya, demi-corde pour la mesure des angles et à en établir une table précise de à 90°, par pas de 3° 45' (soit 24 valeurs) en utilisant une circonférence de 21600 = 60 x 360 (pour un usage pratique de la base 60 ) pour un rayon de 3438 équivalent à p = 3,14136. D'autres valeurs de demi-cordes pouvant être approchées par interpolation linéaire. La demi-corde correspond au sinus de l'angle double lorsque le rayon du cercle est choisi égal à 1 (cercle trigonométrique) . Tel est le demi-corde demi-corde sinus des traductions latines. Trigonométrie des cordes chez Ptolémée : Depuis Al Khwarizmi et Al Battani corde dans les calculs astronomiques. Le choix du rayon 1 sera initié par

42. Wiskundigen - Aryabhata
    aryabhata. aryabhata (476 550) was een Indisch wiskundige. Over zijnleven is vrijwel niets bekend. Ook aryabhata s werk. aryabhata  
    http://www.wiskundeweb.nl/Wiskundegeschiedenis/Wiskundigen/Aryabhata.html
    
    Extractions: Aryabhata is bekend door zijn boek Aryabhatiya dat hij in Kusumapura heeft geschreven in de tijd dat Pataliputra de hoofdstad van het Gupta-Rijk in India was en derhalve een plaats waar de wetenschapsbeoefening in hoog aanzien stond. Kusumapura werd in die tijd (net als Ujjain) een belangrijk centrum van wiskundige activiteit die zich via Pataliputra over de hele Indische en later ook de Arabische beschaving verspreidde. Aryabhata was 23 jaar toen hij de Aryabhatiya in 499 afmaakte. Het gaat daarbij om een boekje over astronomie dat in 118 verzen (sutra's) een samenvatting geeft van kennis van de Hindoes op het gebied van sterrenkunde en wiskunde. In de 33 wiskundige verzen werden 66 stellingen gegeven zonder een spoor van een bewijs. Verder kwamen er verzen in voor over tijdrekening en modellen van het planetenstelsel. Het zijn allemaal typisch voorbeelden van de zaken die in de voorgaande eeuwen voor de op religie gestoelde machthebbers en wetenschapsbeoefenaren interessant waren. Aryabhata was hoofd van het onderzoekscentrum voor wiskunde en astronomie in Kusumapura. Daar ontstond een school van volgelingen die zijn gedachtengoed verder uitwerkten en nog jarenlang de agenda voor wiskundig en sterrenkundig onderzoek in India bepaalden.

43. Aryabhata. The Columbia Encyclopedia, Sixth Edition. 2001
    The Columbia Encyclopedia, Sixth Edition. 2001. aryabhata. (är´´ybh t´ ) (KEY) , c.476–550, Hindu mathematician and astronomer.  
    http://www.bartleby.com/65/ar/Aryabhat.html
    
    Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia Cultural Literacy World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations Respectfully Quoted English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Aryabhata bh KEY

44. 8 II. Aryabhata And His Commentators
    Brahmagupta, and the influence on Arabia). 8 II. aryabhata and his commentators. Furtherdebate surrounds how important the work of aryabhata actually was.  
    http://www-history.mcs.st-andrews.ac.uk/history/Projects/Pearce/Chapters/Ch8_2.h
    
    Extractions: (8 III. Brahmagupta, and the influence on Arabia) Aryabhata , who is occasionally known as Aryabhata I, or Aryabhata the elder to distinguish him from a tenth century astronomer of the same name, stands as a pioneer of the revival of Indian mathematics, and the so called 'classical period ', or 'Golden era' of Indian mathematics. Arguably the Classical period continued until the 12 th century, although in some respects it was over before Aryabhata 's death following a costly, if ultimately successful, war with invading Huns which resulted in the eroding of the Gupta culture (D Duncan P 171). As mentioned, the classical period arose following a 'dark period' of significant political instability 200-400 AD, which caused the widespread stagnation of mathematical development. We can accurately claim that Aryabhata was born in 476 AD, as he writes that he was 23 years old when he wrote his most significant mathematical work the Aryabhatiya (or Arya Bhateeya ) in 499 AD. He was a member of the Kusuma Pura School, but is thought to have been a native of Kerala (in the extreme south of India), although unsurprisingly there is some debate. Further debate surrounds how important the work of

45. MSN Encarta - Aryabhata
    Translate this page aryabhata. aryabhata, savant indien du début du vi e siècle apr. Plus de résultatspour aryabhata, Autres fonctionnalités Encarta. Rechercher aryabhata.  
    http://fr.encarta.msn.com/encyclopedia_761576604/Aryabhata.html
    
    Extractions: Article accessible sur abonnement MSN Encarta Premium : Acc©dez   30 000 articles encyclop©diques avec plus de 12 000 illustrations, un atlas mondial interactif, un guide du Web et une palette compl¨te de ressources et d'outils ©ducatifs. 34,99 € par an (service d’acc¨s   Internet non compris). En savoir plus. Cet article n'est accessible que si vous ªtes abonn©   MSN Encarta Premium. Dans ce cas, connectez-vous en cliquant sur le lien Aller sur MSN Encarta Premium (ci-dessus). Aryabhata Aryabhata , savant indien du d©but du vi e  si¨cle apr. J.-C., auteur d’un trait© d’astronomie et de math©matiques, l’ Aryabhatya. Encarta vous int©resse ? Abonnez-vous d¨s maintenant et b©n©ficiez de : Plus de r©sultats pour Aryabhata Autres fonctionnalit©s Encarta Accueil MSN Mon MSN ... Finances ©2004 Microsoft Corporation. Tous droits r©serv©s.

46. MSN Encarta - Résultats De La Recherche - Aryabhata
    aryabhata . Page 1 sur 1. *, Réservéaux abonnés MSN Encarta Premium. 1. aryabhata*. Encyclopédie EncartaArticle.  
    http://fr.encarta.msn.com/Aryabhata.html
    
    Extractions: Accueil MSN Mon MSN Hotmail Rechercher ... S'abonner   Encarta Premium Rechercher Encarta R©sultats de la recherche pour "Aryabhata" Page sur 1 R©serv© aux abonn©s MSN Encarta Premium. Aryabhata Encyclop©die EncartaArticle Aryabhata , savant indien du d©but du vi e  si¨cle apr. J.-C., auteur d’un trait© d’astronomie et de math©matiques, l’ Aryabhatya.

47. Aryabhata
    encyclopediaEncyclopedia aryabhata, är yubhut u Pronunciation Key. Related contentfrom HighBeam Research on aryabhata. A Brief History of Algebraic Notation.  
    http://www.infoplease.com/ce5/CE003194.html
    
    Extractions: Aryabhata A Brief History of Algebraic Notation. (School Science and Mathematics) How to judge globalism: global links have spread knowledge and raised average living standards. But the present version of globalism needlessly harms the world's poorest. (The American Prospect) COMPUTERS, MATHEMATICS EDUCATION, AND THE ALTERNATIVE EPISTEMOLOGY OF THE CALCULUS IN THE YUKTIBHASA. (Philosophy East and West) Shri Tapan Sikdar to release commemorative postage stamp on Samanta Chandra Sekhar.

48. Aryabhata - InformationBlast
    aryabhata Information Blast. aryabhata. aryabhata (Aryabha?a) isthe first of the great astronomers of the classical age of India.  
    http://www.informationblast.com/Aryabhata.html
    
    Extractions: Aryabhata astronomers of the classical age of India . He was born in Patna His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun . In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters. Wikipedia is available under the terms of the GNU Free Documentation License

49. Aryabhata
    aryabhata. Hintli matematikçi ve astronom (Patha 476 ya dogr. öl.?). 499 a dogru,Aryabhatim adli önemli bir manzum yapit  
    http://www.sanalhoca.com/matematik/matematikçiler/aryabhata.htm
    
    Extractions: Günlük hayatta iþinize yarayacak dersler... En can alýcý noktalar... Ana Sayfa Kimya Matematik Fizik ... e-mail Aryabhata Hintli matematikçi ve astronom (Patha 476'ya doðr.- öl. ?). 499'a doðru,Aryabhatim adlý önemli bir manzum yapýt yayýnlayan Aryabhata'nýn, bu yapýtý, sayý sistemini, trigonometriyi, astronomiyi konu alýr; birçok özgün araþtýrmanýn yaný sýra, Yer'in günlük hareketi üstüne ilgi çekici bir varsayým içerir.

50. Aryabhata
    aryabhata the Elder. aryabhata wrote Aryabhatiya, finished in 499, whichis a summary of Hindu mathematics up to that time, written in verse.  
    http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/rybht.htm
    
    Extractions: Previous (Alphabetically) Next Welcome page Aryabhata wrote Aryabhatiya , finished in 499, which is a summary of Hindu mathematics up to that time, written in verse. It coveres astronomy, spherical trigonometry, arithmetic, algebra and plane trigonometry. Aryabhata gives formulas for the areas of a triangle and a circle which are correct, but the formulas for the volumes of a sphere and a pyramid are wrong. Aryabhatiya also contains continued fractions, quadratic equations, sums of power series and a table of sines. Aryabhata gave an accurate approximation for (equivalent to 3.1416) and was one of the first known to use algebra. He also introduced the versine ( versin = 1 - cos) into trigonometry. Aryabhata also wrote the astronomy text Siddhanta which taught that the apparent rotation of the heavens was due to the axial rotation of the Earth. The work is written in 121 stanzas. It gives a quite remarkable view of the nature of the solar system. Aryabhata gives the radius of the planetary orbits in terms of the radius of the Earth/Sun orbit as essentially their periods of rotation around the Sun. He believes that the Moon and planets shine by reflected sunlight, incredibly he believes that the orbits of the planets are ellipses. He correctly explains the causes of eclipses of the Sun and the Moon.

51. Aryabhata
    aryabhata. aryabhata je první velký astronomové antické doby Indie.On byl narozený v 476 Inzerát v Ashmaka ale pozdeji studoval  
    http://wikipedia.infostar.cz/a/ar/aryabhata.html
    
    Extractions: švodn­ str¡nka Tato str¡nka v origin¡le Āryabhata je prvn­ velk½ astronomov© antick© doby Indie . On byl narozen v Inzer¡t v Ashmaka ale pozdnějÅ¡­ studoval interně Kusumapura, kter½ jeho koment¡tor Bhāskara j¡ (629 inzer¡tu) identifikuje se s Pātaliputra (modern­ Patna). Jeho kniha, ĀryabhatÄ«ya , předložil astronomick© a matematick© teorie ve kter©m Země byl vzat b½t předen­ na jeho ose a obdob­ planety byl d¡v¡n s ºctou k slunce . V t©to knize, den byl spoč­t¡n od jednoho sv­t¡n­ k př­Å¡t­, zat­mco v jeho Āryabhata-siddhānta

52. Biografia De Aryabhata
    Translate this page aryabhata. (Kusumapura, 476- id., 550) Matemático y astrónomo indio.Efectuó un cálculo aproximado del valor de, halló soluciones  
    http://www.biografiasyvidas.com/biografia/a/aryabhata.htm
    
    Extractions: Enlaces Aryabhata (Kusumapura, 476- id. , 550) Matemático y astrónomo indio. Efectuó un cálculo aproximado del valor de, halló soluciones para las ecuaciones indeterminadas de primer grado y elaboró unas tablas trigonométricas. Sistematizó los conocimientos científicos contenidos en los Siddhantas. Inicio Buscador Recomendar sitio

53. Mathemajic: Where Maths Means More..
    NewsLetter Email id. Home Person of the Week. Mathematicians ofIndia aryabhata Printer Friendly. Considered one of the biggest  
    http://mathemajik.tripod.com/personoftheweek/aryabhatta.html
    
    Extractions: Aryabhata was the first to expound that the Earth is round and days and nights are caused because the Earth rotates around its axis. He also rightly explained about the occurrence of the eclipses. According to the Hindu Mythology, solar and lunar eclipses occur because "Rahu" gobbled up the moon and the sun. But he said the eclipses transpired due to the shadows cast by the Earth and the Moon. His contributions in Mathematics are spectacular and very valuable. He gave the value of (PI) 3.1416, claiming, for the first time that it was just an analogue. It’s believed that he also formulated tables in maths, which later came to be called as the "Tables of Sine". His method to find solution for quadratic equations of the sort: ax(sq.) – by(sq.) = c is also recognised world-wide. He devised a method to write the cumbersome numbers in a poetic form. But this summary is rather complex to grasp. Basically, Aryabhatiya dealt with aspects of mathematics, astronomical calculations, geometry, square root, cube root, progression and celestial sphere, all written in Sanskrit in the form of verses.

54. Aryabhata - Wikipedia, The Free Encyclopedia
    Not logged in Log in Help. aryabhata. aryabhata (Aryabha?a) isthe first of the great astronomers of the classical age of India.  
    http://www.peacelink.de/keyword/Aryabhata.php
    
    Extractions: Aryabhata astronomers of the classical age of India . He was born in Patna His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun . In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters. sl:Aryabhata I.

55. Aryabhata/ Main Page
    ACI Math Department Home Page. Main Biography Discoveries Activity Historical Events References History of Math Main Page.  
    http://www.albertson.edu/math/History/skuek/Classical/

56. Aryabhata/ Biography
    aryabhata (475 AD 550 AD) is the first well known Indian mathematician.Born in Kerala, he completed his studies at the university of Nalanda.  
    http://www.albertson.edu/math/History/skuek/Classical/bio.htm
    
    Extractions: ACI Math Department Home Page Aryabhata (475 A.D. -550 A.D.) is the first well known Indian mathematician. Born in Kerala, he completed his studies at the university of Nalanda. We know the year of Aryabhata's birth since he tells us that he was twenty-three years of age when he wrote Aryabhatiya which he finished in 499. there have been numerous other places proposed by historians as his birthplace. Some conjecture that he was born in south India, perhaps Kerala, Tamil Nadu or Andhra Pradesh, while others conjecture that he was born in the north-east of India, perhaps in Bengal. However, giving Asmaka as Aryabhata's birthplace rests on a comment made by Nilakantha Somayaji in the late 15th century. It is now thought by most historians that Nilakantha confused Aryabhata with Bhaskara I who was a later commentator on the Aryabhatiya. We should note that Kusumapura became one of the two major mathematical centers of India, the other being Ujjain. Pataliputra, being the capital of the Gupta empire at the time of Aryabhata, was the center of a communications network which allowed learning from other parts of the world to reach it easily, and also allowed the mathematical and astronomical advances made by Aryabhata and his school to reach across India and also eventually into the Islamic world.

57. Indiainfo.com -> News -> India -> Noted Journalist Shamasunder Wins Aryabhata Aw
    Editor of www.thatskannada.com, SK Shamasunder, has been selected forthe prestigious aryabhata Award 2003 . Search, Indiainfo,  
    http://news.indiainfo.com/2004/03/27/2703award.html

58. The Hindu : Karnataka News : Aryabhata Award Presented To 30 Persons
    Karnataka Printer Friendly Page Send this Article to a Friend aryabhata Awardpresented to 30 persons. By Our Staff Reporter. BANGALORE, APRIL 15.  
    http://www.hindu.com/2004/04/16/stories/2004041604410500.htm
    
    Extractions: BANGALORE, APRIL 15. The Bangalore-based Aryabhata Cultural Oragnisation presented its 29th annual awards to over 30 persons, including the Bangalore University Vice-Chancellor, M.S. Thimmappa, the veteran journalist, S.V. Jayasheela Rao, the theatre artiste, H.G. Somashekhara Rao, and the Kannada publishers, Nitin Shah and Prakash Kambattalli, in recognition of their services to their fields, here on Thursday. In the young talent category, 11-year-old S. Aniruddha bagged the award for his proficiency in Carnatic music.

59. Origin And Meaning Of The Name Aryabhata
    You are here Home › Baby Names › aryabhata. Origin and Meaning of First Namearyabhata. What is the ethnic origin? Hindi. What does it mean? Astronomer.  
    http://www.weddingvendors.com/baby-names/meaning/aryabhata/

60. Aryabhata. Everything You Wanted To Know About Aryabhata But Had No Clue How To
    aryabhata s Babylonian Contactsaryabhata s Babylonian Contacts by Manikant Shah. This was the techniquedevised by aryabhata and followed later by Siddhantic astronomers.  
    http://www.smartpedia.com/smart/browse/Aryabhata
    
    Extractions: Math and Natural Sciences Applied Arts Social Sciences Culture ... Interdisciplinary Categories Aryabhata astronomers of the classical age of India . He was born in AD in Ashmaka but later lived in Kusumapura, which his commentator Patna His book, the , presented astronomical and mathematical theories in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to the sun . In this book, the day was reckoned from one sunrise to the next, whereas in his he took the day from one midnight to another. There was also difference in some astronomical parameters. WorldVillage Coupon Codes Family First Buy Books ... Caption This

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