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Encyclopedia > Mahavira (mathematician)

Mahavira was a 10th century Indian 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 did assertion on the same subjects on which Aryabhata and Bramhagupta contended, but he did it with more easier way. He has more respect in Indian Mathematicians, because was the first to give terminology about equilateral, isosceles triangle, rhombus, circle and semi-circle. Mahavira's eminence spread in all South India. By his books other Mathematicians in Southern India were inspired. As a means of recording the passage of time, the 10th century was that century which lasted from 901 to 1000. ... Leonhard Euler is considered by many to be one of the greatest mathematicians of all time A mathematician is the person whose primary area of study and research is the field of mathematics. ... Gulbarga is a town in the Indian state of Karnataka. ... In mathematics, a square root of a number x is a number whose square (the result of multiplying the number by itself) is x. ... A negative number is a number that is less than zero, such as −3. ... In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. ... Area is a physical quantity expressing the size of a part of a surface. ... The perimeter is the distance around a given two-dimensional object. ... The ellipse and some of its mathematical properties. ... Jain cave in Ellora The Rastrakutas (Sanskrit/Maharashtri Prakrit [1]/Marathi[2][3]:राष्ट्रकूट, Kannada: ರಾಷ್ಟ್ರಕೂಟ) were a dynasty which ruled the southern and the central parts or the Deccan, India during the 8th - 10th century. ... Amoghavarsha Nripathunga was the greatest of the Rashtrakuta kings. ...


Formula about Cyclic Quadrilateral

'Mahavira' gave characteristics of Cyclic Quadrilateral like that of Bramhagupta. He also gave formula about sides and diagonal of Cyclic Quadrilateral.


If sides of Cyclic Quadrilateral are a,b,c,d and its diagonals are x and y and x = sqrt {frac{ad + bc}{ab + cd} (ac + bd)} And y = sqrt {frac{ab + cd}{ad + bc} (ac + bd)}


Then, xy = ac + bd This formula can be proved. He has made a prediction about a boy (born 4-jan-1991)* charles ,from waynad of kerala,will precd his work Charles is a given name for males. ...


See also

The chronology of Indian mathematics spans from the Indus Valley civilization (3300-1500 BCE) and Vedic civilization (1500-500 BCE) to modern India (21st century CE). ... Here is a chronology of the main Indian mathematicians: BC Yajnavalkya, 1800 BC, the author of the altar mathematics of the Shatapatha Brahmana. ... Charles is a given name for males. ...

External

Mahavir Acharya still relevant



 

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