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	Aryabhatiya - Wikipedia, the free encyclopedia
		It is highly likely that the study of the Aryabhatiya was meant to be accompanied by the teachings of a well-versed tutor.
		The Aryabhatiya was an extremely influential work as is exhibited by the fact that most notable Indian mathematicians after Aryabhata wrote commentaries on it.
		The 8th century Arabic translation of the Aryabhatiya was translated into Latin in the 13th century, before the time of Copernicus.
	en.wikipedia.org /wiki/Aryabhatiya (839 words)

	Aryabhata - Wikipedia, the free encyclopedia
		Aryabhata was the first in the line of brilliant mathematician-astronomers of classical India, whose major work was the Aryabhatiya and the Aryabhatta-siddhanta.
		Aryabhatiya presented a number of innovations in mathematics and astronomy in verse form, which were influential for many centuries.
		The subsequent confusion continued for some time, but in 1926 B Datta showed that al-Biruni's two Aryabhattas were one and the same.However there is a precise mention of the year of birth of Aryabhata in the Aryabhatiya (3-10) which corresponds to 476 AD.
	en.wikipedia.org /wiki/Aryabhata (1560 words)

	The Aryabhatiya: Foundations of Indian Mathematics \| Gongol.com
		In light of this, some scholars suggest that Aryabhata intended for his Aryabhatiya to be a commentary on previous mathematicians and astronomers or possibly a skeletal outline of his small contributions to the canon of knowledge (Srinivasiengar 42).
		The bulk of the mathematics in the Aryabhatiya is contained in the next part, the Ganitapada or "Mathematics." He begins this section with an invocation and pays lip service to his school, Kusumpara.
		This is the section of the Aryabhatiya that is most highly criticized by later Indian commentators since it delves into the rotation of the Earth in depth.
	www.gongol.com /research/math/aryabhatiya (1800 words)

	Aryabhata_I biography
		He therefore created a confusion of two different Aryabhatas which was not clarified until 1926 when B Datta showed that al-Biruni's two Aryabhatas were one and the same person.
		We do know that Aryabhata wrote Aryabhatiya in Kusumapura at the time when Pataliputra was the capital of the Gupta empire and a major centre of learning, but there have been numerous other places proposed by historians as his birthplace.
		The Aryabhatiya contains an introduction of 10 verses, followed by a section on mathematics with, as we just mentioned, 33 verses, then a section of 25 verses on the reckoning of time and planetary models, with the final section of 50 verses being on the sphere and eclipses.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Aryabhata_I.html (1983 words)

	Aryabhata the Elder Biography
		His Aryabhatiya was the first major book on Hindu mathematics, which summarized knowledge of his predecessors.
		Although The Aryabhatiya contained errors, it was translated and reproduced as Zij al-Arjabharby the Arabs.
		The public challenge and the romantic forms are combined in the most famous quotation from The Aryabhatiya, as Aryabhata the Elder commands a "beautiful maiden" to answer a problem that requires inversion.
	www.bookrags.com /biography/aryabhata-the-elder-wom (730 words)

	Light - Wikipedia, the free encyclopedia
		The particles of light can exhibit different characteristics depending on the speed and the arrangements of the tejas atoms.
		Later in 499, Aryabhata, who proposed a heliocentric solar system of gravitation in his Aryabhatiya, wrote that the planets and the Moon do not have their own light but reflect the light of the Sun.
		The Indian Buddhists, such as Dignāga in the 5th century and Dharmakirti in the 7th century, developed a type of atomism that is a philosophy about reality being composed of atomic entities that are momentary flashes of light or energy.
	en.wikipedia.org /wiki/Light (4111 words)

	Aryabhatta - Facets of India : Ancient and Modern
		ARYABHATTA (Aarya-Bhatt) was born in 476 in Patna, India and died in 550.
		While the majority of the ratios presented by ARYABHATTA (Aarya-Bhatt) are not equally precise, it is difficult to believe that the earth rotations to lunar orbits ratio, given such very large numbers, could be so precise by coincidence.
		To avoid excessively large numbers later astronomers changed the beginning of the epoch to the Kali era, commencing at midnight of 17-18 February of 3102 B.C. The Aryabhatiya is a summary of Hindu mathematics up to his time, including astronomy, spherical trigonometry, arithmetic, algebra and plane trigonometry.
	www.geocities.com /dipalsarvesh/aryabhatta.html (1293 words)

	Aryabhata, Invention of digit "0" Zero - Timeline Index
		His book, the Aryabhatiya, 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 other words, it was heliocentric).
		This book is divided into four chapters: the astronomical constants and the sine table mathematics required for computations division of time and rules for computing the longitudes of planets using eccentrics and epicycles the armillary sphere, rules relating to problems of trigonometry and the computation of eclipses.
		In the Aryabhatiya, he wrote: "Add four to one hundred, multiply by eight and then add sixty-two thousand.
	www.timelineindex.com /content/view/1452 (278 words)

	Aryabhata_I
		Bhaskara I who was a later commentator on the Aryabhatiya.
		However, as is often the case, nothing is as straightforward as it appears and Elfering (see for example [13]) argues that this is not an error but rather the result of an incorrect translation.
		This relates to verses 6, 7, and 10 of the second section of the Aryabhatiya and in [13] Elfering produces a translation which yields the correct answer for both the volume of a pyramid and for a sphere.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Aryabhata_I.htm (1714 words)

	Mathemajic: Where maths means more..
		His only surviving work is amassed in Aryabhatiya, recognised as a masterpiece.
		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.
		His contribution is so vast that it is hard to write a small gist of the whole thing.
	mathemajik.tripod.com /personoftheweek/aryabhatta.html (308 words)

	YourArt.com >> Encyclopedia >> Aryabhata (Site not responding. Last check: 2007-10-20)
		Aryabhata worked on the approximation for Pi, and may have realized that
		In the second part of the Aryabhatiya (ga{{IPAá¹}}itapÄda 10), he writes:
		Here is an example from Bhaskara's commentry on Aryabhatiya: :
	www.yourart.com /research/encyclopedia.cgi?subject=/Aryabhata (1591 words)

	[No title]
		The presentation given today by Kathiann House, after Dr. Barsky's commentary on Cardano (born 9/24/1501), Max Noether (born 9/24/1844), and Lev Genrikhovich Shnirelman (died 9/24/1938), held to the main concept that Medieval India played a large role in the development of mathematics despite the fact that mathematicians from other countries may have done similar problems.
		In this lecture, the topics covered consisted of Magadha, Chandragupta Maurya, Ashoka, Mohammed Ghori, the Sulvasutras, the Siddhantas, the Aryabhatiya, the Brahmaphuta, and the values of pi.
		These algorithms come from the Aryabhatiya, written about the fifth century BC The method she demonstrated for finding the cube roots of large numbers was particularly interesting.
	public.csusm.edu /DJBarskyWebs/330CollageSep24.html (1639 words)

	Cube (arithmetic) - Wikipedia, the free encyclopedia
		Determination of cube of large numbers was very common in many ancient civilizations.
		Aryabhatta, the ancient indian mathematician in his famous work Aryabhatiya explains about the mathematical meaning of cube (Aryabhatiya, 2-3), as "the continuous product of three equals as also the (rectangular) solid having 12 equal edges are called cube".
		Similar definitions can be seen in ancient texts such as Brahmasphuta Siddhanta (XVIII.
	en.wikipedia.org /wiki/Cube_(arithmetic) (616 words)

	Culture Course Vol VIII - Mathematics In India (Page4) (Site not responding. Last check: 2007-10-20)
		It is written in the form of Sanskrit verses.
		The second part of Aryabhatiya contains bija ganita or algebra.
		The other chapters of Aryabhatiya deal with astronomy or the science of stars.
	www.hindubooks.org /culture_course/book8/Mathematicsin_India/page4.htm (142 words)

	test (Site not responding. Last check: 2007-10-20)
		The Aryabhatiya is a summary of the mathematical knowledge of the day written in a very individual way - you might not recognise it as a mathematical book as it was written entirely in verse and comes without any proofs
		Some of the verse is not consistent and people argue that some sections were added at a later date.
		Aryabhata realised that planetary motion was elliptic and that the earth rotates around an axis.
	www.mathsyear2000.org /timeline/test-mathinfo.php?m=aryabhata (389 words)

	Keller: Expounding the mathematical seed [Indologica]
		Expounding the mathematical seed : a translation of Bhaskara I on the mathematical chapter of the Aryabhatiya / Agathe Keller.
		Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya.
		An english translation of Bhaskara’s commentary and a mathematical supplement are presented in two volumes.
	indologica.blogg.de /eintrag.php?id=787 (378 words)

	Astronomy
		Later Indian astronomer-mathematicians such as Aryabhata made references to this text, while later Arabic and Latin translations were very influential in Europe and the Middle East.
		The Indian astronomer-mathematician Aryabhata (476–550), in his magnum opus Aryabhatiya, propounded a mathematical heliocentric model in which the Earth was taken to be spinning on its axis and the periods of the planets were given with respect to a stationary Sun.
		Arabic translations of Aryabhata's Aryabhatiya were available from the 8th century, while Latin translations were available from the 13th century, before Copernicus had written De revolutionibus orbium coelestium, so it's quite likely that Aryabhata's work had an influence on Copernicus' ideas.
	kosal.us /Astronomy (8637 words)

	Find in a Library: Aryabhatiya of Aryabhata : with the commentary of Bhaskara I and Somesvara
		Aryabhatiya of Aryabhata : with the commentary of Bhaskara I and Somesvara
		To find this item in a library, enter a postal code, state, province, or country in the field above.
		WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.
	www.worldcatlibraries.org /wcpa/ow/f22c6a43f01a5679.html (84 words)

	510 A.D. (Site not responding. Last check: 2007-10-20)
		Aryabhata the Elder lived from either 476-499 or 476-550 in India.
		The title of the book that Aryabhata finished in 499 is Aryabhatiya.
		As mentioned, his writings were in verse and included a summary of Hindu math until that point in time.
	faculty.oxy.edu /jquinn/home/Math490/Timeline/510AD.html (428 words)

	Expounding the Mathematical Seed. Vol. 1: The Translation: A Translation of Bhaskara I on the Mathematical Chapter of ... (Site not responding. Last check: 2007-10-20)
		1: The Translation: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya - Wal-Mart
		In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya.
		An english translation of Bhaskarabs commentary and a mathematical supplement are presented in two volumes.
	www.walmart.com /catalog/product.gsp?product_id=4194366 (663 words)

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