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 (ca. ca. ) — from Eric Weisstein’s World of Scientific Biography
The astronomy included in these books deals with planetary movement and eclipses. Multiplication, evolution, and unknown quantities were represented by abbreviations of appropriate terms. Your contribution may be further edited by our staff, and its publication is subject to our final approval. He also gave a valuable interpolation formula for computing sines. His remaining eighteen sines are,,,brrahmagupta, One theorem gives the lengths of the two segments a triangle’s base is viography into by its altitude:.
Its perpendicular is the lower portion of the [central] perpendicular; the upper portion of the [central] perpendicular is half of the sum of the bipgraphy perpendiculars diminished by the lower [portion of the central perpendicular].
He is believed to have lived and worked in Bhinmal in present day Rajasthan, India, for a few years. 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.
Brahmagupta | Indian astronomer |
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. 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 the top and bottom faces, and he gives the “superficial” volume as the depth times their mean area.
Scholars state that he incorporated a great deal of originality to his revision, adding a considerable amount of new material. Brahmagupta wrote two main texts, both of which deal with arithmetic and astronomy. This leads up to Brahmagupta’s famous theorem.
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. He further gives a theorem on rational triangles. Al-Khwarizmi also wrote his own version of Sindhinddrawing on Al-Fazari’s version and incorporating Ptolemaic elements.
Brahmagupta’s texts were translated into Arabic by Muhammad al-Fazarian astronomer in Al-Mansur’s court under the names Sindhind and Arakhand. 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.
This section needs expansion with: 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. He was the son of Jishnugupta and was a Shaivite by religion.
It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated. The Ancient Roots of Modern Science. He was the head of the astronomical observatory at Ujjain his probable birthplace. If you prefer to suggest your own revision of the article, you can go to edit mode requires login. He composed his texts in elliptic verse in Sanskrit, as was common practice in Indian mathematics of his time.
See the events in life of Brahmagupta in Chronological Order. You can make it easier for us to review and, hopefully, publish your contribution by keeping a few points in mind. This entry contributed by Margherita Barile Hindu astronomer and mathematician who applied algebraic methods to astronomical problems.
AndrewsBonn Boyer, C. Mathematics portal Astronomy portal Biography portal India portal. The rupas are [subtracted on the side] below that from which the square and the unknown are to be subtracted.
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. Brahmagupta was a highly accomplished ancient Indian astronomer and mathematician. By bbiography this site, you agree to allow cookies to be placed. Geometry and Algebra in Ancient Civilizations.
Number theory in the East.