Virasena
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Jainism Portal |
Āchārya Virasena was an 8th century Indian mathematician and Jain philosopher and scholar. He was a student of the Jain sage Elāchārya.[1] He is also known to be a famous orator and an accomplished poet.[2] His most reputed work is the Jain treatise Dhavala. Late Dr. Hiralal Jain places the completion of this treatise in 816 AD.[3]
Virasena was a noted mathematician. He gave the derivation of the volume of a frustum by a sort of infinite procedure. He worked with the concept of ardhaccheda: the number of times a number could be divided by 2; effectively logarithms to base 2. He also worked with logarithms in base 3 (trakacheda) and base 4 (caturthacheda).[4]
Virasena gave the approximate formula C = 3d + (16d+16)/113 to relate the circumference of a circle, C, to its diameter, d. For large values of d, this gives the approximation π ≈ 355/113 = 3.14159292..., which is more accurate than the approximation π ≈ 3.1416 given by Aryabhata in the Aryabhatiya.[5]
[edit] Notes
- ^ Indranandi. Shrutāvatāra
- ^ Jinasena. Ādi Purāņa
- ^ Nagrajji, Acharya Shri (2003). Agama and Tripitaka: Language and Literature. Concept Publishing Company. p. 530. ISBN 8170227305, 9788170227304.
- ^ Gupta, R. C. (2000), "History of Mathematics in India", in Hoiberg, Dale; Ramchandani, Indu, Students' Britannica India: Select essays, Popular Prakashan, p. 329, http://books.google.co.uk/books?id=-xzljvnQ1vAC&pg=PA329&lpg=PA329&dq=Virasena+logarithm#v=onepage&q=Virasena%20logarithm&f=false
- ^ Mishra, V.; Singh, S. L. (February 1997) [1995], "First Degree Indeterminate Analysis in Ancient India and its Application by Virasena", Indian Journal of History of Science 32 (2): 127–133
[edit] See also
[edit] External links
- Singh, A. N., Lucknow University, http://www.jainworld.com/JWHindi/Books/shatkhandagama-4/02.htm Translation of part of the Dhavala.
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