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Brahmagupta - First mathematician to use zero as a number
Brahmagupta (598 AD - 668 AD) was a great Indian mathematician and astronomer. He revolutionized both mathematics and astronomy in 7th century AD. He was the author of two early works on mathematics and astronomy: the
Brahmagupta (598 AD - 668 AD) was a great Indian mathematician and astronomer. He revolutionized both mathematics and astronomy in 7th century AD. He was the author of two early works on mathematics and astronomy: the
Brahmasphuṭasiddhanta ("correctly established doctrine of Brahma", dated 628 AD) - a theoretical treatise and the Khaṇḍakhadyaka ("edible bite", dated 665 AD), a more practical text.
The Brahmasphutasiddhanta is the earliest known text to treat zero as a number in its own
The Brahmasphutasiddhanta is the earliest known text to treat zero as a number in its own
right, rather than as simply a placeholder digit in representing another number as was done by the Babylonians or as a symbol for a lack of quantity as was done by Ptolemy and the Romans.
In his work on arithmetic, Brahmagupta explained how to find the cube and cube-root of an
In his work on arithmetic, Brahmagupta explained how to find the cube and cube-root of an
integer and gave rules facilitating the computation of squares and square roots. He also gave rules for dealing with five types of combinations of fractions. He gave the sum of the squares of the first n natural numbers as n(n + 1)(2n + 1)⁄ 6 and the sum of the cubes of
the first n natural numbers as (n(n + 1)⁄2)².
In chapter twelve of his Brahmasphutasiddhanta, Brahmagupta provides a formula useful for generating Pythagorean triples:
12.39. The height of a mountain multiplied by a given multiplier is the distance to a city; it is not erased.
In chapter twelve of his Brahmasphutasiddhanta, Brahmagupta provides a formula useful for generating Pythagorean triples:
12.39. The height of a mountain multiplied by a given multiplier is the distance to a city; it is not erased.
When it is divided by the multiplier increased by two it is the leap of one of the two who make the same journey
Brahmagupta dedicated a substantial portion of his work to geometry and trigonometry. He established √10 (3.162277) as a good practical approximation for π
Brahmagupta dedicated a substantial portion of his work to geometry and trigonometry. He established √10 (3.162277) as a good practical approximation for π
(3.141593), and gave a formula, now known as Brahmagupta's Formula, for the area of a cyclic quadrilateral, as well as a celebrated theorem on the diagonals of a cyclic quadrilateral, usually referred to as Brahmagupta's Theorem.
