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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The text also elaborated on the methods of solving linear and quadratic equations, rules for summing series, and a method for computing square roots. The Ancient Roots of Modern Science. He later revised his estimate and proposed a length of days, 6 hours, 12 minutes, and 36 seconds. 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.

Addition was indicated by placing the numbers side by side, subtraction by placing a dot over the subtrahend, and division by placing the divisor below the dividend, similar to our notation but without the bar.

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## Brahmagupta

It was also a centre of learning for mathematics and astronomy. The role of astronomy and astrology number theory In number theory: He essentially manipulated right triangles to produce isosceles triangles, scalene triangles, rectangles, isosceles trapezoids, isosceles trapezoids with three equal sides, and a scalene cyclic quadrilateral.

He further gave two equivalent solutions to the general quadratic equation. Mathematics portal Astronomy portal Biography portal India portal. Unlike most European algebraists of the Middle Ages, he recognized negative and irrational numbers as possible roots of an equation. In Brahmagupta’s case, the disagreements stemmed largely from the choice of astronomical parameters and theories.

To obtain a recurrence one has to know that a rectangle proportional to the original eventually recurs, a fact that was rigorously proved only in by Lagrange. 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].

Later, Brahmagupta moved to Ujjainwhich was also a major centre for astronomy. Ahmed; Benham Sadeghi; Robert G.

An enormous amount of material is found on astronomy, while it also includes chapters on mathematics, trigonometry, algorithms and algebra. He called multiplication gomutrika in his Brahmasphutasiddhanta. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral. Bhillamala, called pi-lo-mo-lo by Xuanzangwas the apparent capital of the Gurjaradesathe second largest kingdom of Western India, comprising southern Rajasthan and northern Gujarat in modern-day India.

History of Hindu Mathematics, Part I. He also gave partial solutions to certain types of indeterminate equations of the second degree with two unknown variables. The square-root of the sum of the two products of the sides and opposite sides of a non-unequal quadrilateral is the diagonal. Brahma had different views on astronomical parameters and theories. In other projects Wikimedia Commons Wikisource. If there are many [colors], the pulverizer [is to be used].

He then gives rules for dealing with five types of combinations of fractions: He is believed to have died in Ujjain. Your contribution may be further edited by our staff, and its publication is subject to our final approval. In particular, he recommended using “the pulverizer” to solve equations with multiple unknowns. For the volume of a frustum of a pyramid, he gives the “pragmatic” value as the depth times the square of the mean of the edges of bjography top and bottom faces, and he gives the “superficial” volume as the depth biigraphy their mean area.

### Brahmagupta | Indian astronomer |

He is believed to have written many works though only a few survive today. His work was further simplified and added illustrations to by Prithudaka Svamin. Although Brahmagupta does not explicitly state that these quadrilaterals are cyclic, it is apparent from his rules that this is the case.

Thus Brahmagupta enumerates his first six sine-values as, Brahmagupta became an astronomer of the Brahmapaksha school, one of the four major schools of Indian astronomy during this period. He further finds the average depth of a series of pits. The height of a mountain multiplied by a given multiplier is the distance to a city; it is not erased.

The two [lower segments] of the two diagonals are two sides in a triangle; the base [of the quadrilateral is the base of the triangle].

In the 7th century Brahmagupta took up what is now erroneously called the Pell equation. A History of Mathematics. The operations of multiplication and evolution the taking of bgahmaguptaas well as unknown quantities, were represented by abbreviations of appropriate words.

In Brahmasphutasiddhanta, multiplication was named Gomutrika. In his Brahma treatise, Brahmagupta criticized contemporary Indian astronomer on their different opinion.

The brahmayupta regarding his family life are obscure. The next formula apparently deals with the volume of a frustum of a square pyramid, where the “pragmatic” volume is the depth times the square of the mean of the edges of the top and bottom faces, while the “superficial” volume is the depth times their mean area.

He posed the challenge to find a perfect square that, when multiplied by 92 and increased by 1, yields another perfect square.

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…. Also, if m and x are rational, so are dab and c. Brahmagupta was an orthodox Hindu, and his religious views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work.

Discover some of the most interesting and trending topics of Views Read Edit View history. He initially estimated it to be at days, 6 hours, 5 minutes, and 19 seconds which brahmaguptaa remarkably close to the actual value of days, 5 hours, 48 minutes, and about 45 seconds. In addition to astronomy, his book also contained various chapters on mathematics.