Brahmagupta was an Indian mathematician, born in AD in Bhinmal, a state of Rajhastan, India. He spent most of his life in Bhinmal which was under the rule. Brahmagupta was an Ancient Indian astronomer and mathematician who lived from AD to AD. He was born in the city of Bhinmal in Northwest India. Brahmagupta was a famous mathematician and astronomer who lived in seventh century India. His ideas were so profound that they still influence.

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## Brahmagupta

Takao Hayashi Learn More in these related Britannica articles: He was the son of Jishnugupta and was a Shaivite by religion. When it is divided by the multiplier increased by two it is the leap of one of the two who make the same journey. He also had a profound and direct influence on Islamic and Byzantine astronomy. History of Hindu Mathematics, Part I. He is believed to have lived and worked in Bhinmal in present day Rajasthan, India, for a few years.

This leads up to Brahmagupta’s famous theorem. The nature of squares: Taylor and Francis, pp. Albert Einstein, German-born physicist who developed the special and general theories of relativity and…. A triangle with rational sides abc and rational area is of the form:.

He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician…. Views Read Edit View brahmqgupta.

### Brahmagupta (ca. ca. ) — from Eric Weisstein’s World of Scientific Biography

It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. The division was primarily about the application of mathematics to the physical world, rather than about the mathematics itself.

We now regard the length of a year as being days 5 hours and 48 minutes. Geometry and Algebra in Ancient Civilizations. He is believed to have died in Ujjain. Contact our editors with your feedback. In Brahmasphutasiddhanta, multiplication was named Gomutrika.

The diameter and the square of the radius [each] multiplied by 3 are [respectively] the practical circumference and the area [of a circle]. Al-Khwarizmi also wrote his own version of Sindhinddrawing on Al-Fazari’s version and incorporating Ptolemaic elements. It was translated into Arabic in Baghdad about and had a major impact on Islamic mathematics and astronomy. That of which [the square] is the square is [its] biograpby. Like many Indian mathematicians of this biograpphy later periods, Brahmagupta was producing work that was many centuries ahead of the equivalent work being carried out in the western world.

Yugain Hindu cosmology, an age of humankind. He established a formula for the area of cyclic quadrilaterals derived from Heron’s formulaand continued Diophantus’ work by characterizing all the solutions of linear congruences, and by proposing the quadratic Diophantine equation which nowadays is known as Pell equation. Little is known of these authors. Indian astronomic material circulated widely for centuries, even passing into medieval Latin texts.

## Brahmagupta Biography

In addition to being an accomplished astronomer, he was also a much revered mathematician. At the bottom of the article, feel free to list any sources that support your changes, so that we can fully understand their context. A negative minus zero is negative, a positive [minus zero] positive; zero [minus zero] is zero. Four such brahmqgupta s called Krita, Treta, Dvapara, and Kali, after the throws of an Indian game of dice make up the…. Brahmagupta then goes on to give the sum of the squares and cubes of the first n integers.

Wikimedia Commons has media related to Brahmagupta. He also introduced new methods for solving quadratic equations and gave equations to solve systems of simultaneous indeterminate equations, in addition to providing two equivalent solutions to the general quadratic equation.

His work was very significant considering the fact that he had no telescope or scientific equipment to help him arrive at his conclusions. You can help by adding to it. Ghurye believed that he might have been from the Multan or Abu region. He continues to give formulas for the lengths and areas of geometric figures, such as the circumradius of an isosceles trapezoid and a scalene quadrilateral, and the lengths of diagonals in a scalene cyclic quadrilateral.

The two square-roots, divided by the additive or the subtractive, are the additive rupas. Thus Brahmagupta enumerates his first six sine-values as, Articles from Britannica Encyclopedias for elementary and high school students. Biogrxphy addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics.

The product of a negative and a positive is negative, of two negatives positive, and of positives positive; the product of zero and a negative, of zero and a positive, or of two zeros is zero. He was among the few thinkers of his era who had realized that the earth was not flat as many believed, but a sphere. Brahmagupta directed a great deal of criticism towards biohraphy work of rival astronomers, and his Brahmasphutasiddhanta displays one of the earliest schisms among Indian mathematicians.

Hoyland, Islamic Cultures, Islamic Contexts: Our editors will review what you’ve submitted, and if it meets brahmzgupta criteria, we’ll add it to the article. The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, biographh a method for computing square roots.

### Brahmagupta Biography

The city was a center of learning for mathematics and astronomy, and he flourished as an astronomer in the intellectual atmosphere of the city. He later revised his estimate and proposed a length of days, 6 hours, 12 minutes, and 36 seconds. Leonardo da Vinci, Italian: The square of a negative or of a positive is positive; [the square] of zero is zero. Lalla and Bhattotpala in the 8th and 9th centuries wrote commentaries on the Khanda-khadyaka.

Unlike most European algebraists of the Middle Ages, he recognized negative and irrational numbers as possible roots of an equation. You may find it helpful to search within the site to see how similar or related subjects are covered.