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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They are followed by rules for five types of combinations: He further gave two equivalent solutions to the general quadratic equation. In other projects Wikimedia Commons Wikisource.

His remaining eighteen sines are,,,, Thank you for your feedback. Please try again later. Like brahmaguupta algebra of Diophantusthe algebra of Brahmagupta was syncopated. Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during this period.

In addition to expounding on traditional Indian astronomy in his books, Brahmagupta devoted several chapters of Brahma-sphuta-siddhanta to mathematics. He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. The sum of the squares is that biovraphy multiplied by twice the [number of] step[s] increased by one [and] divided by three.

This section needs expansion with: Brahmaguptaborn —died c. Each yuga is progressively shorter than the preceding one, brahmaguptaa to a decline in the moral and physical state of humanity.

He first describes addition and subtraction. Brahmagupta gave the solution of the general linear equation in chapter eighteen of Brahmasphutasiddhanta. Babylonian mathematics Chinese vrahmagupta Greek mathematics Islamic mathematics European mathematics. Astronomical details reflecting his substantial astronomical work. We welcome suggested improvements to any of our articles.

Brahmagupta’s writings were taken to Baghdad, from fo they influenced the development of the exact sciences in the Arab world. Further work exploring the longitudes of the planets, diurnal rotation, lunar and solar eclipses, risings and settings, the moon’s crescent and conjunctions of the planets, are discussed in his treatise Khandakhadyaka.

## Brahmagupta

Some of the important contributions made by Brahmagupta in astronomy are his methods for calculating the position of heavenly bodies over time ephemeridestheir rising and setting, conjunctionsand the calculation of solar and lunar eclipses. 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]. Also, if m and x are rational, so are dab and c. Brahmagupta directed a great deal of criticism towards the work of rival astronomers, and his Brahmasphutasiddhanta displays one of the earliest schisms among Indian mathematicians.

One theorem gives the lengths of the two segments a triangle’s base is divided into by its altitude:. Views Read Edit View history.

When it is divided by the multiplier biographh by two it is the leap of one brahkagupta the two who make the same journey. Unfortunately, our editorial approach may not be able to accommodate all contributions. Here Brahmagupta found the result in terms of the sum of the first n integers, rather than in terms of n as is the modern practice.

Brahmagupta’s most famous result in geometry is his formula for cyclic quadrilaterals.

In addition to biogrpahy, his book also contained various chapters on mathematics. By using this site, you agree to allow cookies to be placed.

In chapter seven of his Brahmasphutasiddhantaentitled Lunar CrescentBrahmagupta rebuts the idea that the Moon is farther from the Earth than the Sun, an idea which had been suggested by Vedic scripture. After completing his work in Bhillamala, he moved to Ujjain which was also considered a chief location with respect to studies in astronomy.

In particular, he recommended using “the pulverizer” to solve equations with multiple unknowns. He is the author of two early works on mathematics and astronomy: Thank You for Your Contribution! Al-Khwarizmi also wrote his own version of Sindhinddrawing on Al-Fazari’s version and incorporating Ptolemaic elements. Brahmagupta’s mathematics seems to be rooted in the Greek tradition, the achievements of which he improved and generalized.

In addition to that his work was commented upon by Lalla and Bhattotpala in the eighth and btahmagupta century.

### Brahmagupta | Indian astronomer |

It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. A History of Mathematics. Motilal Banarsi Das, The nature of squares: Sir Isaac Newton, English physicist and mathematician, who was the culminating figure of the scientific…. 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.

Bhillamala was the capital of Gurjaradesa, currently known as Gujrat. His straightforward rules for the volumes of a rectangular prism and pyramid are followed by a more ambiguous one, which may refer to finding the average depth of a sequence of puts with different depths.