Brahmagupta (c. 598 – c. 668 CE) was an Indian mathematician and astronomer. He is the author of two early works on mathematics and astronomy: the Brāhmasphuṭasiddhānta...

In algebra, Brahmagupta's identity says that, for given n {\displaystyle n} , the product of two numbers of the form a 2 + n b 2 {\displaystyle a^{2}+nb^{2}}...

In algebra, the Brahmagupta–Fibonacci identity expresses the product of two sums of two squares as a sum of two squares in two different ways. Hence the...

In Euclidean geometry, Brahmagupta's formula, named after the 7th century Indian mathematician, is used to find the area of any convex cyclic quadrilateral...

In geometry, Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is, has perpendicular diagonals), then the perpendicular...

Brahmagupta's interpolation formula is a second-order polynomial interpolation formula developed by the Indian mathematician and astronomer Brahmagupta...

A Brahmagupta triangle is a triangle whose side lengths are consecutive positive integers and area is a positive integer. The triangle whose side lengths...

mathematics, the following matrix was given by Indian mathematician Brahmagupta: B ( x , y ) = [ x y ± t y ± x ] . {\displaystyle B(x,y)={\begin{bmatrix}x&y\\\pm...

Brahmagupta polynomials are a class of polynomials associated with the Brahmagupa matrix which in turn is associated with the Brahmagupta's identity....

This problem was given in India by the mathematician Brahmagupta in 628 AD in his treatise Brahma Sputa Siddhanta: Solve the Pell's equation x 2 − 92...

area K of a cyclic quadrilateral with sides a, b, c, d is given by Brahmagupta's formula: p.24  K = ( s − a ) ( s − b ) ( s − c ) ( s − d ) {\displaystyle...

new knowledge and learning by Brahmagupta and his students, but even more critical of men of learning, such as Brahmagupta, who censured themselves when...

Aryabhata Ahmes Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens...

significance of Al-Khwarizmi's algebraic work from that of Indian Mathematician Brahmagupta, Carl B. Boyer wrote: It is true that in two respects the work of al-Khowarizmi...

Panca Siddhantika by Varahamihira, the 7th century Khandakhadyaka by Brahmagupta and the 8th century Sisyadhivrddida by Lalla. These texts present Shukra...

identity) Binet-cauchy identity Binomial inverse theorem Binomial identity Brahmagupta–Fibonacci two-square identity Candido's identity Cassini and Catalan...

Aryabhata: every astronomical text spells his name thus, including Brahmagupta's references to him "in more than a hundred places by name". Furthermore...

seems to have had in mind applications to astronomical calculations. Brahmagupta (628 AD) started the systematic study of indefinite quadratic equations—in...

the classical era who further elaborated on Aryabhata's work include Brahmagupta, Varahamihira and Lalla. An identifiable native Indian astronomical tradition...

Panca Siddhantika by Varahamihira, the 7th century CE Khandakhadyaka by Brahmagupta, and the 8th century CE Sisyadhivrddida by Lalla.: vii–xi  These texts...

trigonometric work of 7th century Indian mathematician Brahmagupta. In his Brāhmasphuṭasiddhānta, Brahmagupta expresses the circumradius of a triangle as the...

astronomical texts known from the period following the 7th-century works of Brahmagupta and Bhāskara I. It generally treats the same astronomical subject matter...

Aryabhata Ahmes Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens...

Established Doctrine of Brahma", abbreviated BSS) is a main work of Brahmagupta, written c. 628. This text of mathematical astronomy contains significant...

because of a connection to the Fibonacci numbers. Examples include the Brahmagupta–Fibonacci identity, the Fibonacci search technique, and the Pisano period...

Pancha Siddhantika by Varahamihira, the 7th-century Khandakhadyaka by Brahmagupta and the 8th-century Sisyadhivrddida by Lalla. These texts present Shani...

Aryabhata Ahmes Alhazen Apollonius Archimedes Atiyah Baudhayana Bolyai Brahmagupta Cartan Chern Coxeter Descartes Euclid Euler Gauss Gromov Hilbert Huygens...

and the Islamic world. Brahmagupta's Brāhmasphuṭasiddhānta is the first book that mentions zero as a number, hence Brahmagupta is usually considered the...

geometry Hypatia of Alexandria (c. AD 370–c. 415) – Euclidean geometry Brahmagupta (597–668) – Euclidean geometry, cyclic quadrilaterals Vergilius of Salzburg...

This equation was first studied extensively in India starting with Brahmagupta, who found an integer solution to 92 x 2 + 1 = y 2 {\displaystyle 92x^{2}+1=y^{2}}...