Brahmagupta theorem information

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

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 mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

Bounded inverse theorem (operator theory) Bourbaki–Witt theorem (order theory) Brahmagupta theorem (Euclidean geometry) Branching theorem (complex manifold)...

crystals". In the 7th century, Brahmagupta identified the Brahmagupta theorem, Brahmagupta's identity and Brahmagupta's formula, and for the first time...

triple product. Legendre's three-square theorem Lagrange's four-square theorem Sum of squares function Brahmagupta–Fibonacci identity Dudley, Underwood (1969)...

there exists an inscribing circle for this quadrilateral. Butterfly theorem Brahmagupta triangle Cyclic polygon Power of a point Ptolemy's table of chords...

latter section, he stated his famous theorem on the diagonals of a cyclic quadrilateral: Brahmagupta's theorem: If a cyclic quadrilateral has diagonals...

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

quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta theorem. 940 — Abu'l-Wafa al-Buzjani extracts roots using...

quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta theorem. 721 – China, Zhang Sui (Yi Xing) computes the first...

the Indian mathematician, Brahmagupta (598–668 CE): Brahmagupta–Fibonacci identity Brahmagupta formula Brahmagupta theorem Combinatorics – the Bhagavati...

Aryabhata (6th century). Special cases of the Chinese remainder theorem were also known to Brahmagupta (7th century) and appear in Fibonacci's Liber Abaci (1202)...

Brahmagupta–Fibonacci identity, Brahmagupta formula, Brahmagupta matrix, and Brahmagupta theorem: Discovered by the Indian mathematician, Brahmagupta...

perpendicular. These include the square, the rhombus, and the kite. By Brahmagupta's theorem, in an orthodiagonal quadrilateral that is also cyclic, a line through...

speaking, an identity) Binet-cauchy identity Binomial inverse theorem Binomial identity Brahmagupta–Fibonacci two-square identity Candido's identity Cassini...

1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II,Varāhamihira, and Madhava. The decimal number system in...

concurrent at (all meet at) a common point called the "anticenter". Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is...

maltitudes all meet at a common point called the "anticenter". Brahmagupta's theorem states that if a cyclic quadrilateral is orthodiagonal (that is...

Polynomial SOS, polynomials that are sums of squares of other polynomials The Brahmagupta–Fibonacci identity, representing the product of sums of two squares of...

Bernoulli polynomials Bernstein polynomial Bessel polynomials Binomial type Brahmagupta polynomials Caloric polynomial Charlier polynomials Chebyshev polynomials...

quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta theorem 8th century Virasena gives explicit rules for the...

anticenter coincides with the point where the diagonals intersect. Brahmagupta's theorem states that for a cyclic orthodiagonal quadrilateral, the perpendicular...

Mathematical Art. 628: Brahmagupta writes down Brahmagupta's identity, an important lemma in the theory of Pell's equation. 628: Brahmagupta produces an infinite...

book Eastern Science states that the 7th century Indian mathematician Brahmagupta describes what we now know as the law of sines in his astronomical treatise...