Brahmagupta, whose father was Jisnugupta, wrote important works on mathematics and astronomy. In particular he wrote Brahmasphutasiddhanta Ⓣ, in 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, (born —died c. , possibly Bhillamala [modern Bhinmal], Rajasthan, India), one of the most accomplished of the ancient Indian astronomers.

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This page was last edited on 30 Decemberat The square of the diagonal is diminished by the square of half the sum of the base and the top; the square-root is the perpendicular [altitudes].

When Sindh was conquered by Arabs, his work was translated into Arabic by an astronomer, Muhammad bfahmagupta which led to the use of decimal number system in written discourse. Brahmagupta’s writings were biobraphy to Baghdad, from where they influenced the development of the exact sciences in the Arab world.

History of Hindu Mathematics, Part I. He first describes addition and subtraction. He was of the view that the Moon is closer to the Earth than the Sun based on its power of waxing and waning. He studied the five traditional siddhanthas on Indian astronomy as well as the work of other astronomers including Aryabhata ILatadeva, Pradyumna, VarahamihiraSimha, Srisena, Vijayanandin and Vishnuchandra. The accurate [area] is the square root from the product of the halves of the sums of the sides diminished by [each] side of the quadrilateral.

Brahmagupta distinguished twenty arithmetical operations logisticsincluding the extraction of roots and the solution of proportions, and eight measurements determinations.

This information can be translated into the list of sines,,,,,,andwith the radius being His remaining eighteen sines are,,,, He brought originality to the treatise by adding a great deal of new material to it. The accurate [values] are the square-roots from the squares of those two multiplied by ten. His mathematics was a mixture of concrete problems interest computation and abstract formulas determination of the partial sums of the series of perfect squares and of perfect cubeswhich he sometimes gave in form of verses, or by means of numerical examples.

He further finds the average depth of a series of pits. Ahmed; Benham Sadeghi; Robert G. He further gives a theorem on rational triangles.

### Brahmagupta Biography – Childhood, Life Achievements & Timeline

The details regarding his family life are obscure. Keep Exploring Britannica Albert Einstein. But his description of division by zero differs from our modern understanding:.

The height of a mountain multiplied by a given multiplier is the distance to a city; it is not erased. The difference between rupaswhen inverted and divided by the difference of the unknowns, is the unknown in the equation. He also had a profound and direct influence on Islamic and Byzantine astronomy.

Brahmagupta’s texts were translated into Arabic by Muhammad al-Fazarian astronomer in Al-Mansur’s court under the names Sindhind and Arakhand.

A good deal of it is astronomy, but it also contains key chapters on mathematics, including algebra, geometry, trigonometry and algorithmics, which are believed to contain new insights due to Brahmagupta himself.

It was also a centre of learning for mathematics and astronomy. This current system is based on the Hindu Arabic number system and first appeared in Brahmasphutasiddhanta. The court of Caliph Al-Mansur — received an embassy from Sindh, including an astrologer called Kanaka, who brought possibly memorised astronomical texts, including those of Brahmagupta.

When it is divided by the multiplier increased by two it is the leap of one of the two who make the same journey. Multiplication, evolution, and unknown quantities were represented by abbreviations of appropriate terms.

He finds the volume of rectangular prisms, pyramids, and the frustum of a square pyramid. He was among the few thinkers of his era who had realized that the earth was not flat as many believed, but a sphere. Contact our editors with your feedback. Brahmagupta lived beyond CE. Brahmagupta’s most famous result in geometry is his formula for cyclic quadrilaterals.

### Brahmagupta – Mathematician Biography, Contributions and Facts

The mathematician Al-Khwarizmi — CE wrote a text called al-Jam wal-tafriq bi hisal-al-Hind Addition and Subtraction in Indian Arithmeticwhich was translated into Latin in the 13th century as Algorithmi de numero indorum. His work was further simplified and added illustrations to by Prithudaka Svamin. Little is known about the life of Bhaskara; I is appended to his name to distinguish him from a 12th-century Indian astronomer of the…. He was the son of Jishnugupta and was a Shaivite by religion.

Brahma had different views on astronomical parameters and theories. Discover some of the most interesting and trending topics of A triangle with rational sides abc and rational area is of the form:. The historian of science George Sarton called him “one of the greatest scientists of his race and the greatest of his time. You can help by adding to it. The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots.

By using this site, you agree to the Terms of Use and Privacy Policy. Also, if m and x are rational, so are dab and c. In addition to astronomy, his book also contained various chapters on mathematics. Through these texts, the decimal number system and Brahmagupta’s algorithms for arithmetic have spread throughout the world.

The sum of the cubes is the square of that [sum] Piles of these with identical balls [can also be computed].

## Brahmagupta

He was much ahead of his contemporaries and his mathematical and astronomical calculations remained among the most accurate available for several centuries. Thank you for your feedback.

The sum of the squares is that [sum] multiplied by twice the [number of] step[s] increased by one [and] divided by three. Like the algebra of Diophantusthe algebra of Brahmagupta was syncopated.

Lalla and Bhattotpala in the 8th and 9th centuries wrote commentaries on the Khanda-khadyaka.