Mahavira (mathematician)
Encyclopedia
Mahavira was a 9th-century India
n Jain mathematician
from Gulbarga
who asserted that the square root
of a negative number did not exist. He gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area
and perimeter
of an ellipse
. He was patronised by the great Rashtrakuta
king Amoghavarsha
.
Mahavira was the author of Ganit Saar Sangraha. He separated Astrology from Mathematics. He expounded on the same subjects on which Aryabhata and Brahmagupta contended, but he expressed them more clearly. He is highly respected among Indian Mathematicians, because of his establishment of terminology for concepts such as equilateral, and isosceles triangle; rhombus; circle and semicircle. Mahavira's eminence spread in all South India and his books proved inspirational to other Mathematicians in Southern India. It was translated into Telugu language by Pavuluri Mallana
as Saar Sangraha Ganitam.
and
qoutes
ilove science i donot like maths
science is a everlasting mystery maths is a boringing subject
thank you
, like Brahmagupta
did previously. He also established equations for the sides and diagonal of Cyclic Quadrilateral.
If sides of Cyclic Quadrilateral are a, b, c, d and its diagonals are x and y while
And
Then,
India
India , officially the Republic of India , is a country in South Asia. It is the seventh-largest country by geographical area, the second-most populous country with over 1.2 billion people, and the most populous democracy in the world...
n Jain mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
from Gulbarga
Gulbarga
Gulbarga is a city in the Indian state of Karnataka. It is the administrative headquarters of Gulbarga District. It was formerly part of Nizam's Hyderabad state...
who asserted that the square root
Square root
In mathematics, a square root of a number x is a number r such that r2 = x, or, in other words, a number r whose square is x...
of a negative number did not exist. He gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area
Area
Area is a quantity that expresses the extent of a two-dimensional surface or shape in the plane. Area can be understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the amount of paint necessary to cover the surface with a single coat...
and perimeter
Perimeter
A perimeter is a path that surrounds an area. The word comes from the Greek peri and meter . The term may be used either for the path or its length - it can be thought of as the length of the outline of a shape. The perimeter of a circular area is called circumference.- Practical uses :Calculating...
of an ellipse
Ellipse
In geometry, an ellipse is a plane curve that results from the intersection of a cone by a plane in a way that produces a closed curve. Circles are special cases of ellipses, obtained when the cutting plane is orthogonal to the cone's axis...
. He was patronised by the great Rashtrakuta
Rashtrakuta
The Rashtrakuta Empire was a royal dynasty ruling large parts of the Indian Subcontinent between the sixth and the 10th centuries. During this period they ruled as several closely related, but individual clans. Rastrakutas in inscriptions represented as descendants of Satyaki, a Yadava well known...
king Amoghavarsha
Amoghavarsha
Amoghavarsha I was a Rashtrakuta emperor, the greatest ruler of the Rashtrakuta dynasty, and one of the great emperors of India. His nominal reign of 64 years is the longest precisely dated monarchical reign on record in India and one of the longest documented reigns of all monarchy since...
.
Mahavira was the author of Ganit Saar Sangraha. He separated Astrology from Mathematics. He expounded on the same subjects on which Aryabhata and Brahmagupta contended, but he expressed them more clearly. He is highly respected among Indian Mathematicians, because of his establishment of terminology for concepts such as equilateral, and isosceles triangle; rhombus; circle and semicircle. Mahavira's eminence spread in all South India and his books proved inspirational to other Mathematicians in Southern India. It was translated into Telugu language by Pavuluri Mallana
Pavuluri Mallana
Pavuluri Mallana, who followed Adikavi Nannaya is a mathematician of 11th century. He composed 'Ganitam' is the first Telugu rendering of an original Sanskrit work on mathematics....
as Saar Sangraha Ganitam.
Higher-order equations
Mahavira solved higher order equations of n degree of the forms:and
qoutes
ilove science i donot like maths
science is a everlasting mystery maths is a boringing subject
thank you
Formula for cyclic quadrilateral
Aditya expressed characteristics of a cyclic quadrilateralCyclic quadrilateral
In Euclidean geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. Other names for these quadrilaterals are chordal quadrilateral and inscribed...
, like Brahmagupta
Brahmagupta
Brahmagupta was an Indian mathematician and astronomer who wrote many important works on mathematics and astronomy. His best known work is the Brāhmasphuṭasiddhānta , written in 628 in Bhinmal...
did previously. He also established equations for the sides and diagonal of Cyclic Quadrilateral.
If sides of Cyclic Quadrilateral are a, b, c, d and its diagonals are x and y while
And
Then,