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	Brahmagupta biography
		Brahmagupta's understanding of the number systems went far beyond that of others of the period.
		In the Brahmasphutasiddhanta Brahmagupta gave remarkable formulae for the area of a cyclic quadrilateral and for the lengths of the diagonals in terms of the sides.
		Brahmagupta believed in a static Earth and he gave the length of the year as 365 days 6 hours 5 minutes 19 seconds in the first work, changing the value to 365 days 6 hours 12 minutes 36 seconds in the second book the Khandakhadyaka.
	www-history.mcs.st-andrews.ac.uk /Biographies/Brahmagupta.html (1408 words)

	NationMaster - Encyclopedia: Brahmagupta's theorem (Site not responding. Last check: )
		Brahmagupta (ब्रह्मगुप्त) (598-668) was an Indian mathematician and astronomer.
		Some of the important contributions made by Brahmagupta in astronomy are: methods for calculations of the motions and places of various planets, their rising and setting, conjunctions, and the calculation of eclipses of the sun and the moon.
		The theorem states that the sum of the distances from the circumcenter, O, to the three sides is equal to the sum of the radii of the incircle and the circumcircle.
	www.nationmaster.com /encyclopedia/Brahmagupta%27s-theorem (404 words)

	Brahmagupta - FREE Brahmagupta Biography \| Encyclopedia.com: Facts, Pictures, Information!
		Hence, Datta and Singh assert that Brahmagupta was mistaken.(51) At a conference on...
		Brahmagupta (A.D. 630) was the first to demonstrate the use of negative numbers, while Aryabhata (A.D. 476) invented the use of continuous...
		He was the lineal successor of Brahmagupta as head of an astronomical observatory at Ujjain, the leading mathematical centre of ancient India.
	www.encyclopedia.com /doc/1E1-Brahmagu.html (628 words)

	Brahmagupta's Formula
		In geometry, Brahmagupta's formula finds the area of any quadrilateral given the lengths of the sides and some of their angles.
		In the case of non-cyclic quadrilaterals, Brahmagupta's formula can be extended by considering the measures of two opposite angles of the quadrilateral:
		The relationship between the general and extended form of Brahmagupta's formula is similar to how the law of cosines extends the Pythagorean theorem.
	www.juliantrubin.com /encyclopedia/mathematics/brahmagupta_formula.html (327 words)

	Brahmagupta (Site not responding. Last check: )
		Brahmagupta was born in 598 A.D. in northwest India.
		Brahmagupta was the inventor of the concept of zero, the method of solving indeterminate equations of the second degree (ie.
		Here is a list of a few of the contributions Brahmagupta made towards astronomy: he gave methods for calculations of the motions and places of various planets, their rising and setting, conjunctions, and the calculation of eclipses of the sun and the moon.
	www.math.sfu.ca /histmath/India/7thCenturyAD/brahmagupta.html (400 words)

	Brahmagupta (Site not responding. Last check: )
		Brahmagupta became the head of the astronomical observatory at Ujjain which was the foremost mathematical centre of ancient India at this time.
		Brahmagupta believed in a static Earth and he gave the length of the year as 365 days 6 hours 5 minutes 19 seconds in the first work, changing the value to 365 days 6 hours 12 minutes 36 seconds in the second book the Khandakhadyaka.
		One has to wonder whether Brahmagupta's second value for the length of the year is taken from Aryabhata I since the two agree to within 6 seconds, yet are about 24 minutes out.
	zyx.org /Brahmagupta.html (1400 words)

	BRAHMAGUPTA
		Brahmagupta was an mathematician born in 598 A.D. in northwest India.
		Brahmagupta belonged to the Ujjainschool of mathematics where he became head of astronomical observatory.
		Brahmagupta’s works covered mean longitudes of the planets, true longitudes of planets and conjunctions of the planets with the fixed stars.
	www.algana.co.uk /FamousNames/B/Brahmagupta.htm (152 words)

	Vidyapatha ::India's Largest Portal on Educational Information
		Brahmagupta was born at Bhillamala (Bhinmal), in Gujarat, in 598 A.D. He became court astronomer to I King Vyaghramukha of the Chapa dynasty.
		Brahmagupta's major contribution is the rules of operation for zero.
		Brahmagupta's Karanakhandakhadyaka is a handbook on astronomical calculations.
	www.vidyapatha.com /scientists/brahma.php (360 words)

	Brahmagupta: The father of Arithmetic
		Brahmagupta has had a great influence on modern mathematics that is why we need to understand his works today.
		Interestingly, Brahmagupta is credited to have devised the concept of infinity in the 7th century CE, long before it became current in the West.
		Brahmagupta is regarded as the first mathematician and credited with attention to the join in the real number line.
	hubpages.com /hub/Brahmagupta (430 words)

	Dream 2047: VP News
		Brahmagupta was thus born in 598 AD, and was a contemporary of king Harsavardhana and the famous Sanskrit poet Banabhatta.
		Brahmagupta's magnum opus, Brahma-sphuta-siddhanta (BSS), comprising little more than 1000 Sanskrit slokas, is divided in 24 chapters; the last chapter gives the table of contents and the brief "autobiography" of the author.
		Since then the original contribution of Brahmagupta, specially in the field of indeterminate analysis, has been acknowledged by all historians of mathematics and he is regarded as one of the greatest algebraists of the world.
	www.vigyanprasar.gov.in /dream/oct2000/oct2000.htm (6903 words)

	History 650 A.D.
		Brahmagupta invented rules for solving quadratic equations and second degree intermediate equations such as ax^2 + b = y^2.
		Brahmagupta is also accredited to inventing the concept of zero.
		Brahmagupta computed the length of the year to be 365 days, 6 hours,5 minutes, and 19 seconds, but then later changed that number to 365 days, 6 hours, 12 minutes, and 36 seconds.
	faculty.oxy.edu /jquinn/home/Math490/Timeline/650AD.html (193 words)

	[No title]
		Brahmagupta was a mathematician but he is also noted as being the last and most accomplished of all of the ancient Indian astronomers.
		In 628 A.D., Brahmagupta was the first person to use the mathematical concept of negative numbers to represent debts and positive numbers to represent assets as developed by the Hindus.
		It was Brahmagupta who developed the rules for the four operations (addition, subtraction, multiplication and division) using negative numbers.
	www.upei.ca /~xliu/multi-culture/brah.htm (211 words)

	NationMaster - Encyclopedia: Brahmagupta matrix (Site not responding. Last check: )
		In mathematics, a matrix (plural matrices) is a rectangular table of numbers or, more generally, of elements of a ring-like algebraic structure.
		Events Khusro II of Persia overthrown Pippin of Landen becomes Mayor of the Palace Brahmagupta writes the Brahmasphutasiddhanta Births Deaths Empress Suiko of Japan Theodelinda, queen of the Lombards Categories: 628...
		The Brahmagupta matrices can be extended to negative integers: A negative number is a number that is less than zero, such as âˆ’3.
	www.nationmaster.com /encyclopedia/Brahmagupta-matrix (222 words)

	Brahmagupta's identity - Wikipedia, the free encyclopedia
		In mathematics, Brahmagupta's identity says that the product of two numbers, each of which is a sum of two squares, is itself a sum of two squares.
		The identity was discovered by Brahmagupta (598-668), an Indian mathematician and astronomer.
		It was later translated to Arabic and Persian, and then translated to Latin by Leonardo of Pisa (1170-1250) also known as Fibonacci.
	en.wikipedia.org /wiki/Brahmagupta's_identity (140 words)

	Brahmagupta - (Site not responding. Last check: )
		The relationship between the general Brahmagupta's formula and the Heron's formula is similar to how the law of cosines extends the Pythagorean theorem.
		Brahmagupta attempted at constructing a square of area equalling that of a circle by assuming that pi would converge at sqrt(10).
		Some of the important contributions made by Brahmagupta in astronomy are: methods for calculations of the motions and places of various planets, their rising and setting, conjunctions, and the calculation of eclipses of the sun and the moon.
	psychcentral.com /psypsych/Brahmagupta (527 words)

	Dream 2047 : VP News (Site not responding. Last check: )
		Brahmagupta was thus born in 598 AD, and was a contemporary of king Harsavardhana and the famous Sanskrit poet Banabhatta.
		Brahmagupta's magnum opus, Brahma-sphuta-siddhanta (BSS), comprising little more than 1000 Sanskrit slokas, is divided in 24 chapters; the last chapter gives the table of contents and the brief "autobiography" of the author.
		Since then the original contribution of Brahmagupta, specially in the field of indeterminate analysis, has been acknowledged by all historians of mathematics and he is regarded as one of the greatest algebraists of the world.
	www.vigyanprasar.com /dream/oct2000/oct2000.htm (6903 words)

	Brahmagupta \| WikiStock
		He likely lived most of his life in Bhillamala (modern [[Bhinmal]] in [[Rajasthan]]) in the empire of [[Harsha]] during the reign (and possibly under the patronage) of King Vyaghramukha. As a result, Brahmagupta is often referred to as Bhillamalacarya, that is, the teacher from Bhillamala [[Bhinmal]].
		Brahmagupta was born in 598 CE in Bhinmal city in the state of Rajasthan of northwest India.
		He likely lived most of his life in Bhillamala modern Bhinmal in Rajasthan in the empire of Harsha during the reign of King Vyaghramukha. As a result, Brahmagupta is often referred to as Bhillamalacarya, that is, the teacher from Bhillamala [[Bhinmal]].
	www.wikistock.com /brahmagupta (479 words)

	Brahmagupta I
		Brahmagupta II is the second of a series of books of mathematics problems.They have been largely invented by its author.
		Although he is not guilty of plagiarism he does not intend to claim copyrights for them.
		Brahmagupta (598-665 C.E.) was an outstanding mathematician and astronomer of 7th Century India.
	www.fermentmagazine.org /Publicity/Science/brahma2.html (89 words)

	Brahmagupta, Indian Mathematician - Timeline Index
		Brahmagupta wrote important works on mathematics and astronomy.
		Brahmagupta became the head of the astronomical observatory at Ujjain which was the foremost mathematical centre of ancient India at this time.
		In addition to the Brahmasphutasiddhanta Brahmagupta wrote a second work on mathematics and astronomy which is the Khandakhadyaka written in 665 when he was 67 years old.
	www.timelineindex.com /content/view/1494 (216 words)

	Chapter 2 : Properties of Real Numbers : Negative Numbers
		Brahmagupta described the rules for the four basic operations on signed numbers-addition, subtraction, multiplication and division.
		Brahmagupta is credited with other important mathematical contributions to the areas of arithmetic, algebra and geometry.
		For example, Brahmagupta's treatment of quadratic equations and the quadratic formula, which can result in negative and irrational solutions, is of particular importance.
	www.classzone.com /books/algebra_1/page_build.cfm?content=links_app3_ch2&ch=2 (507 words)

	Explore: India - Mathematics
		Brahmagupta lived in Central India about a century after Aryabhatta and put forward various concepts in mensuration and algebra, such as a formula for the area of a cyclic quadrilateral.
		Brahmagupta’s work is the first instance of operations involving negative numbers and zero (the Greeks could not represent their concept of nothingness as a number, hence the absence of zero in their early works.) Brahmagupta also recognised the irrational roots of numbers as numbers even though they seemed to be incommensurable.
		Brahmagupta also was the first to come out with a general solution for the indeterminate equation (one with no definite roots) ax + by = c (known as the Diophantine equation after Greek mathematician Diophantus).
	library.thinkquest.org /C0122667/india/maths.html (685 words)

	Brahmagupta, Numerical analysis, Chapa dynasty, Brahmagupta: Brahmagupta declared that addition or subtraction of zero ...
		Brahmagupta, Numerical analysis, Chapa dynasty, Brahmagupta: Brahmagupta declared that addition or subtraction of zero to or from any quantity, negative or positive, does not affect it..., Brahmagupta, Numerical analysis, Chapa dynasty, Bhillamala, Bhinmal
		Brahmagupta declared that addition or subtraction of zero to or from any quantity, negative or positive, does not affect it...
		Brahmagupta's Karanakhandakhadyaka is a hand-book on astronomical calculations.
	www.4to40.com /legends/print.asp?id=180 (428 words)

	Term Paper on Astronomy. Essays, Research Papers on Brahmagupta
		In a failed attempt to extend these statements to include division by zero Brahmagupta stated that zero divided by zero is zero, which is now known to be wrong today (0/0 is 1).
		Brahmagupta also made great contributions with his work on negative numbers and intermediate equations.
		Brahmagupta s influence on modern mathematics is easily visible and undeniable.
	www.customessaymeister.com /customessays/Astronomy/7016.htm (1121 words)

	Brahmagupta's Formula: Area of Cyclic Quadrilateral, College, SAT Prep - Antonio Gutierrez
		Brahmagupta (598–668) was an Indian mathematician and astronomer.
		Heron's formula is a special case of this formula, when one of the sides equal zero.
		The relationship between the general Brahmagupta's formula and the Heron's formula is similar to how the law of cosines extends the Pythagorean theorem.
	www.gogeometry.com /circle/brahmagupta_formula.htm (76 words)

	Brahmagupta -- Britannica Concise Encyclopedia - The online encyclopedia you can trust!
		Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work.
		Brahmagupta's fame rests mostly on his Brahma-sphuta-siddhanta (628; “Correctly Established Doctrine of Brahma”), an astronomical work that he probably wrote while living in Bhillamala, then the capital of the Gurjara-Pratihara dynasty.
		Bhaskara was the lineal successor of Brahmagupta (598–665?) as head of an astronomical observatory at Ujjain, the leading mathematical center of ancient India.
	www.britannica.com /ebc/article-9016154 (795 words)

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