- Mahavira (mathematician)
Mahavira was a
9th century India nmathematician fromGulbarga who asserted that thesquare root of anegative number did not exist. He gave the sum of a series whose terms are squares of anarithmetical progression and empirical rules forarea andperimeter of anellipse . He was patronised by the greatRashtrakuta kingAmoghavarsha .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 semi-circle. Mahavira's eminence spread in all South India and his books proved inspirational to other Mathematicians in Southern India.Higher-order equations
Mahavira solved higher order equations of "n" degree of the forms:
And
Formula for cyclic quadrilateral
Mahavira expressed characteristics of a
cyclic quadrilateral , likeBrahmagupta did previously. He also established equations for the sides and diagonal of Cyclic Quadrilateral.If sides of Cyclic Quadrilateral are and its diagonals are and while
And
Then,
ee also
*
Indian mathematics
*Indian mathematicians References
*
* Bibhutibhusan Datta and Avadhesh Narayan Singh (1962). "History of Hindu mathematics: a source book".
Wikimedia Foundation. 2010.