Varahamihira is the Brihat-Samhita

Brihat – Samhita Another important contribution of Varahamihira is the Brihat-Samhita. It covers wide ranging subjects of human interest, including astrology, planetary movements, eclipses, rainfall, clouds, architecture, growth of crops, manufacture of perfume, matrimony, domestic relations, gems, pearls, and rituals. The volume expounds on gemstone evaluation criterion found in the Garuda Purana, and elaborates onपढ़ना जारी रखें “Varahamihira is the Brihat-Samhita”

Place values system and Zero interduce to world by Aryabhata

Mathematics Place value system and zero The palce values system, first seen in the 3rd-century Bakhshali was clearly in place in his work. While he did not use a symbol for Zero, the French mathematician Georges Ifrah   argues that knowledge of zero was implicit in Aryabhata’s  Palce – Values System as a place holderपढ़ना जारी रखें “Place values system and Zero interduce to world by Aryabhata”

Brahmagupta uses 3 as a “practical” value of π, and as an “accurate” value of π

Brahmagupta (598–.670 CE)Pi  In verse 40, he gives values of 12.40. The diameter and the square of the radius [each] multiplied by 3 are [respectively] the practical circumference and the area [of a circle]. The accurate [values] are the square-roots from the squares of those two multiplied by ten. So Brahmagupta uses 3 as aपढ़ना जारी रखें “Brahmagupta uses 3 as a “practical” value of π, and as an “accurate” value of π”

Brahmagupta’s Theorem

Brahmagupta (598–.670 CE) : Brahmagupta’s Theorem Brahmagupta’s theorem states that AF = FD   Brahmagupta continues, 12.23. The square-root of the sum of the two products of the sides and opposite sides of a non-unequal quadrilateral is the diagonal. The square of the diagonal is diminished by the square of half the sum of theपढ़ना जारी रखें “Brahmagupta’s Theorem”

Indian Mathematician and astronomer Brahmagupta

Brahmagupta (598–.670 CE)Triangles Brahmagupta dedicated a substantial portion of his work to geometry. One theorem gives the lengths of the two segments a triangle’s base is divided into by its altitude: 12.22. The base decreased and increased by the difference between the squares of the sides divided by the base; when divided by two theyपढ़ना जारी रखें “Indian Mathematician and astronomer Brahmagupta”

Indian Mathematician and astronomer Brahmagupta

Brahmagupta (598–.670 CE) Bramhgupta Formla   Main article: Bramhagupta’s formual Brahmagupta’s most famous result in geometry is his format for cyclic quadrilaterals. Given the lengths of the sides of any cyclic quadrilateral, Brahmagupta gave an approximate and an exact formula for the figure’s area, 12.21. The approximate area is the product of the halves ofपढ़ना जारी रखें “Indian Mathematician and astronomer Brahmagupta”

Brahmagupta generating soluation ot certain instances of Diophantine

Pell’s Equation Brahmagupta (598–.670 CE),Brahmagupta went on to give a recurrence relation for generating solutions to certain instances of Diophantine equations of the second degree such as (called Pell’s Equation) by using the Euclidean algorithm. The Euclidean algorithm was known to him as the “pulverizer” since it breaks numbers down into ever smaller pieces. Theपढ़ना जारी रखें “Brahmagupta generating soluation ot certain instances of Diophantine”

Brahmagupta provides a formula useful for generating Pythagorean Triples

Diophantine Analysis Pythagorean Triples 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 ofपढ़ना जारी रखें “Brahmagupta provides a formula useful for generating Pythagorean Triples”

Brahmagupta is considered the first to formulate the concept of zero

Brahmagupta (598–.670 CE, India), Brahmagupta’s Brahmasphuṭasiddhanta is the first book that mentions zero as a number, hence Brahmagupta is considered the first to formulate the concept of zero. He gave rules of using zero with negative and positive numbers. Zero plus a positive number is the positive number and negative number plus zero is aपढ़ना जारी रखें “Brahmagupta is considered the first to formulate the concept of zero”

Indian Arithmetic was known in Medieval Europe as “Modus Indoram”

Brahmagupta Arithmetic Four fundamental operations (addition, subtraction, multiplication and division) were known to many cultures before Brahmagupta. This current system is based on the Hindu Arabic number system and first appeared in Brahmasphutasiddhanta. Brahmagupta describes the multiplication as thus “The multiplicand is repeated like a string for cattle, as often as there are integrant portionsपढ़ना जारी रखें “Indian Arithmetic was known in Medieval Europe as “Modus Indoram””