Virasena
Dhavala | |
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| Religious career | |
| Predecessor | Aryanandi |
| Successor | Jinasena |
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Acharya Virasena (792-853 CE),
Virasena was a noted mathematician. He gave the derivation of the
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.[8]
Life
Virasena was proficient in astrology, grammar, logic, mathematics and prosody. He wrote
His lineage started with Chandrasena who initiated Aryanandi.[10] Aryanandi initiated Virasena and Jayasena.[10] Virasena initiated six disciples who were Dasharayguru, Jinasena, Vinayasena, Shripal, Padmasena and Devasena.[10] Dasharayguru and Jinasena initiated Gunabhadra who later initiated Lokasena.[10] Vinayasena initiated Kumarasena who started the Kashtha Sangha.[10]
See also
- Indian mathematics
- Umaswami
References
Citations
- ^ Jaini 1991, p. 111.
- ^ Indranandi. Shrutāvatāra
- ^ Jinasena. Ādi Purāņa
- ^ Satkhandagama : Dhavala (Jivasthana) Satparupana-I (Enunciation of Existence-I)
An English Translation of Part 1 of the Dhavala Commentary on the Satkhandagama of Acarya Pushpadanta & Bhutabali Dhavala commentary by Acarya Virasena English tr. by Prof. Nandlal Jain, Ed. by Prof. Ashok Jain ISBN 9788186957479
- ISBN 9788170227311.
- ISBN 978-3-0348-8037-4.
- ^ Gupta, R. C. (2000), "History of Mathematics in India", in Hoiberg, Dale; Ramchandani, Indu (eds.), Students' Britannica India: Select essays, Popular Prakashan, p. 329
- ^ Mishra, V.; Singh, S. L. (February 1997), "First Degree Indeterminate Analysis in Ancient India and its Application by Virasena" (PDF), Indian Journal of History of Science, 32 (2): 127–133, archived from the original (PDF) on 29 November 2014, retrieved 17 September 2014
- ^ Natubhai Shah 2004, p. 31.
- ^ a b c d e Pannalal Jain 1951, pp. 30–31.
Sources
- Bharatiya Jnanapitha
- ISBN 0-520-06820-3
- ISBN 81-208-1938-1
External links
Media related to Virasena at Wikimedia Commons- Singh, A. N. "Mathematics of Dhavala". Lucknow University. Translation of part of the Dhavala.
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