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	Vidyapatha :: Indian Scientists : India's Largest Portal on Educational Information
		The young astronomer was Aryabhata and the treatise was Aryabhatiya.
		Aryabhata was the first to deduce that the earth is round and that it rotates on its own axis, creating day and night.
		It was in appreciation of his contributions to astronomy and mathematics that India's first satellite was named Aryabhata.
	www.vidyapatha.com /scientists/arya.php (487 words)

	Aryabhata (Site not responding. Last check: 2007-10-25)
		Aryabhata belonged to the Kusumapura school, but was probably a native of Kerala since his tradition is still in vogue there.
		Aryabhata considered his work as a whole, but Brahmagupta divides the work into two parts in his Brahma Sphuta Siddhanta.
		In the chapter the Gola, Aryabhata defines all the circles given in the armillary sphere together with the small circles representing the diurnal motion of the sun.
	www.math.sfu.ca /histmath/India/5thCenturyAD/Aryabhata.html (312 words)

	Aryabhata_I biography
		Aryabhata gives formulae for the areas of a triangle and of a circle which are correct, but the formulae for the volumes of a sphere and of a pyramid are claimed to be wrong by most historians.
		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.
		Aryabhata is the master who, after reaching the furthest shores and plumbing the inmost depths of the sea of ultimate knowledge of mathematics, kinematics and spherics, handed over the three sciences to the learned world.
	www-history.mcs.st-andrews.ac.uk /Biographies/Aryabhata_I.html (1983 words)

	Aryabhata I
		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.
		Aryabhata gave an accurate approximation for pi (equivalent to 3.1416) and was one of the first known to use algebra.
		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.
	indicethos.org /Astronomy/AryabhataI.html (1978 words)

	ISRO Celebrates Silver Jubilee of Aryabhata Launch (Site not responding. Last check: 2007-10-25)
		The challenge was accepted and Aryabhata was realised within a period of 30 months by a young team of scientists and engineers led by Prof U R Rao, the then Project Director and presently Member, Space Commission under the guidance of Prof Satish Dhawan the then Chairman of ISRO.
		It may be recalled that Aryabhata was launched by the erstwhile Soviet Intercosmos rocket on April 19, 1975 from Baikanur Cosmodrome.
		Aryabhata thus laid the foundation for India's satellite programme and, today, the country has the largest constellation of remote sensing satellites, IRS, and one of the largest domestic communication satellite systems in the world, INSAT.
	www.isro.org /pressrelease/Apr19_2000.htm (348 words)

	[No title] (Site not responding. Last check: 2007-10-25)
		Aryabhata, born in Pataliputra, India, was an astronomer and the earliest Hindu mathematician.
		Aryabhata was one of the first known persons to use algebra and he applied algebra to geometry and astronomy.
		Aryabhata was able to give an accurate approximation of pi (3.1416) and introduced the versed sine function (1 minus the cosine of an angle) into trigonometry.
	www.upei.ca /~xliu/multi-culture/arya.htm (202 words)

	ClassicalPeriod - igw
		Aryabhata is the first one of the important mathematician-astronomers of the classical age of India.
		Aryabhata states that the Moon and planets shine by reflected sunlight and he believes that the orbits of the planets are ellipses.
		Aryabhata stated that "Stanam stanam dasa gunam" or place to place in ten times in value, which may be the origin of the modern decimal based place value notation; his positional number system included a zero in his letter code for numerals (which allowed him to express numbers as words) in his mathematical astronomy.
	flake.iguw.tuwien.ac.at /wiki/bin/view/PspGwa2006/ClassicalPeriod (589 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).
		Aryabhata goes on to provide methods for finding square roots and cube roots (tasks that would be far more difficult prior to the development of a place value system).
		Aryabhata was not the first Indian mathematician to display that he could find square roots - Jain mathematicians had shown great proficiency at this before him - but the Aryabhatiya is the oldest extant work which provides a method for finding square roots.
	www.gongol.com /research/math/aryabhatiya (1809 words)

	DKPA : Glimpses of Astronomy in Indian Stamps - Aryabhata (Site not responding. Last check: 2007-10-25)
		He was Aryabhata the man who gave the theory that the earth rotated and the stars were stationary.
		Aryabhata gave methods for computing the planetary positions, detailed designs for instruments to measure astronomical phenomena and theories to comprehend Time.
		This satellite was instrumented to explore conditions in the earth’s ionosphere, measure neutrons and gamma rays from the sun and for the study of X-ray astronomy.
	www.geocities.com /dakshina_kan_pa/art3/astro2.htm (377 words)

	Science After Aryabhatta (Site not responding. Last check: 2007-10-25)
		Aryabhata (born 476) is the author of the first of the later siddhantas called Aryabhatiyam which sketches his mathematical, planetary, and cosmic theories.
		Aryabhata took the earth to spin on its axis; this idea appears to have been his innovation.
		That Aryabhata was aware of the relativity of motion is clear from this passage in his book,``Just as a man in a boat sees the trees on the bank move in the opposite direction, so an observer on the equator sees the stationary stars as moving precisely toward the west.''
	www.hindunet.org /science_after_aryabhatta/index.htm (1186 words)

	DESI - ARTICLE (Astronomy in Ancient India)
		Aryabhata's 499 AD computation of pi as 3.1416 (real value 3.1415926...) and the length of a solar year as 365.358 days were also extremely accurate by the standards of the next thousand years.
		Aryabhata, it so happens, was apparently quite sceptical of the widely held doctrines about eclipses and also about the belief that the Sun goes round the Earth.
		Aryabhata used the word "kha" for position and it was also used later as the name for zero.
	www.studentorg.umd.edu /desi/article35.htm (3634 words)

	The Aryabhata satellite
		Aryabhata was India's first satellite, named after a ancient Indian mathematician (5th century AD).
		The 96.3 minute orbit had an apogee of 619 km and a perigee of 563 km, at an inclination of 50.7 degrees.
		Aryabhata was built by the Indian Space Research Organization (ISRO) to conduct experiments in X-ray astronomy, aeronomics, and solar physics.
	heasarc.gsfc.nasa.gov /docs/heasarc/missions/aryabhata.html (123 words)

	Astronomy in Ancient India - Crystalinks
		In 500 AD, Aryabhata presented a mathematical system that took the earth to spin on its axis and considered the motions of the planets with respect to the sun (in other words it was heliocentric).
		This is an extremely accurate ratio of a fundamental astronomical ratio (1,582,237,500/57,753,336 = 27.3964693572), and is perhaps the oldest astronomical constant calculated to such accuracy.Brahmagupta (598-668) was the head of the astronomical observatory at Ujjain and during his tenure there wrote a text on astronomy, the Brahmasphutasiddhanta in 628.
		Around 500 BCE, Aryabhata presented a mathematical system that took the Earth to spin on its axis and considered the motions of the planets with respect to the Sun.
	www.crystalinks.com /indiastronomy.html (2904 words)

	On Aryabhata-I
		It appears that Aryabhata probably observed with naked eye (as most amateur sky watchers or astronomers do) the planets and stars and carefully recorded their motions.
		Aryabhata also offered explanations of equinoxes (March 21 and September 22) and solstices (June22 and December 22) due to the tilt of earth as it revolved around the sun.
		Books on the early mathematicians such as Aryabhata, Bhaskara, Brahmagupta were written by a number of Indians, particularly authors well versed in Sanskrit and other Indian languages; but such works need to be brought to the level of aspiring high school and college students across all the states, in the vernacular.
	www.tlca.com /adults/indianAstronomy.html (2085 words)

	510 A.D. (Site not responding. Last check: 2007-10-25)
		Aryabhata wrote summaries of the mathematics thus far, which in and of itself is useful and helpful information, but the amazing thing about his work is he wrote it in verse.
		Aryabhata the Elder lived from either 476-499 or 476-550 in India.
		From Boethius and Aryabhata we should realize that intelligence is one thing, but good timing and good summaries will make a lasting impression.
	faculty.oxy.edu /jquinn/home/Math490/Timeline/510AD.html (428 words)

	Storytelling Science: Aryabhata and Diophantus' son (Site not responding. Last check: 2007-10-25)
		Aryabhata studied at Nalanda university, one of the oldest in the world.
		Aryabhata's method of solving such problems, called the kuttaka method, was elaborated by Bhaskara (621AD).
		Aryabhata wrote that 1,582,237,500 rotations of the Earth equal 57,753,336 lunar orbits.
	www.cse.iitk.ac.in /~amit/story/19_aryabhata.html (1017 words)

	Aryabhata
		The Soviet Union assisted India in development of Aryabhata, its first satellite, named for the Indian astronomer.
		The satellite conducted scientific experiments on atmospheric research., but was primarily an experimental satellite for satellite technology.
		Typical orbit: 398 km x 409 km at 51 degrees inclination.
	www.astronautix.com /craft/arybhata.htm (164 words)

	Aryabhata Details, Meaning Aryabhata Article and Explanation Guide
		Aryabhata (Āryabhaṭa) is the first of the great astronomers of the classical age of India.
		Aryabhata also gave an accurate approximation for π.
		What is surprising is that elsewhere, Aryabhata does not use this value, but instead uses the square root of 10 ≈ 3.1622.
	www.e-paranoids.com /a/ar/aryabhata.html (336 words)

	Aryabhata: Legend Aryabhata, Nalanda, Kusumapura, Patna, Gupta ruler, Hindu mythology, Astronomical calculations, ... (Site not responding. Last check: 2007-10-25)
		Aryabhata was the first to deduce that the earth is round and that it rotates on its own axis...
		Nearly five hundred years after the birth of Christ a ritual was held near Khagola, the famous astronomical observatory at the University of Nalanda near Kusumapura (Patna), to mark the “birth” of a treatise that was to lay the foundation of a new school of thought in astronomy.
		Born in 476 in Kerala, Aryabhata had come to complete his studies at the University of Nalanda, which was then a great centre of learning.
	www.4to40.com /legends/index.asp?id=185 (538 words)

	Aryabhata (Site not responding. Last check: 2007-10-25)
		Aryabhata I (476 A.D. Also referred to as Aryabhata the Elder an Indian astronomer and mathematician whose work and history are available to modern scholars.
		Known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name, he flourished in Kusumapura-near Patalipurta (Patna), then the capital of the Gupta Dynasty.
		Aryabhata was the first to deduce that the earth is round
	aaryavarta.com /Aryabhata.html (332 words)

	Mathemajic: Where maths means more..
		Considered one of the biggest innovative thinkers and contributors to the Indian history, Aryabhata gave a whole new dimension to astronomy, mathematical rules and propositions.
		Born in 476 A.D, in Kerala, the Hindu astronomer Aryabhata studied in Nalanda University near Kusumaputra, now Patna.
		Aryabhata was the first to expound that the Earth is round and days and nights are caused because the Earth rotates around its axis.
	mathemajik.tripod.com /personoftheweek/aryabhatta.html (308 words)

	Aryabhata I (476-ca 550): Indian astronomer and mathematician. (Site not responding. Last check: 2007-10-25)
		A thousand years before Copernicus, Aryabhata propounds a heliocentric universe with elliptically orbiting planets and a spherical Earth spinning on its axis, explaining the apparent rotation of the heavens.
		Aryabhata wrote Aryabhatiya, finished in 499, which is a summary of Hindu mathematics up to that time, written in verse.
		Aryabhata, in about 500, gave tables of half chords which now really are sine tables and used jya for our sin. Jya (India) became Jiba then Jaib (Arabs) which then became Sinus (Romans) which then became Sine (modern terminology).
	o3.indiatimes.com /idea/archive/2005/08/05/208780.aspx (1463 words)

	Aryabhata II Summary
		Among the writings attributed to Aryabhata II is the Mahasiddhanta, in which he discusses "casting out nines," a concept in recreational mathematics.
		on Aryabhata II Aryabhata II (920-1000) was an Indian mathematician and astronomer, and the author of the Maha-Siddhanta.
		Aryabhata II at the MacTutor History of Mathematics archive.
	www.bookrags.com /Aryabhata_II (111 words)

	Diophantine equation Summary
		Diophantine equations were later extensively studied by mathematicians in medieval India, who were the first to systematically investigate methods for determination of integral solutions of Diophantine equations.
		This algorithm is considered to be one of the most signicant contributions of Aryabhata in pure mathematics.
		The technique was applied by Aryabhata to give integral solutions of simulataneous Diophantine equations of first degree, a problem with important applications in astronomy.
	www.bookrags.com /Diophantine_equation (1741 words)

	500 A.D. (Site not responding. Last check: 2007-10-25)
		500 A.D. Aryabhata the Elder, was a mathematician and astronomer who was born in India in 476.
		Aryabhata also wrote Siddhanta which dealt mainly with astronomy.
		A Ahmad, On the pi of Aryabhata I, Ganota Bharati 3(3-4)(1981), 83-85.
	faculty.oxy.edu /jquinn/home/Math490/Timeline/500AD.html (110 words)

	Aryabhata - Search Results - MSN Encarta
		Geometry, like most other sciences, advanced little from the fall of the Roman Empire in the 5th century ad to the end of the Middle Ages in the 15th...
		Equation, Indeterminate: use of fractions by Aryabhata, Indian mathematician
		In the 5th century Hindu mathematician and astronomer Aryabhata studied many of the same problems as Diophantus but went beyond the Greek...
	encarta.msn.com /Aryabhata.html (99 words)

	[No title] (Site not responding. Last check: 2007-10-25)
		Aryabhata was a great Indian mathematician born in 476 in Patna, India.
		He is also known as Aryabhata I because there was another mathematician named Aryabhata about 400 years after him.
		Throughout the book, Aryabhata explains arithmetic, algebra, plane trigonometry, spherical trigonometry, fractions, quardratic equations, sums of power series, and a table of sines.
	www.angelfire.com /il3/pathik/arya.html (219 words)

	did you know?
		He, therefore, lived a little later than Aryabhata or was probably a younger contemporary of the latter.
		It may be noted that Aryabhata belonged to Kusumapura, which scholars identify with modern Patna.
		He was, therefore, a Brahmin belonging to Avanti and to a family devoted to the worship of the sun.
	www.indianscience.org /dyk/t_dy_Q19.shtml (1844 words)

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