Virasena
| Acharya Shri Virasena Ji Maharaj | |
|---|---|
 Acharya Virasena | |
| Religion | Jainism |
| Sect | Digambara |
| Personal | |
| Born | 792 |
| Died | 853 (aged 60–61) |
| Senior posting | |
| Successor | Jinasena |
| Religious career | |
| Works | Dhavala |
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Acharya Virasena (792-853)[1] was a Digambara monk and belonged to the lineage of Acharya Kundakunda.[2] He was a Indian mathematician and Jain philosopher and scholar. He is also known to be a famous orator and an accomplished poet.[3] His most reputed work is the Jain treatise Dhavala.[4] Late Dr. Hiralal Jain places the completion of this treatise in 816 AD.[5]
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 base-2 logarithms. He also worked with logarithms in base 3 (trakacheda) and base 4 (caturthacheda).[6]
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.[7]
See also
Notes
- ↑ 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
- ↑ Nagrajji, Acharya Shri (2003). Agama and Tripitaka: Language and Literature. Concept Publishing Company. p. 530. ISBN 9788170227311.
- ↑ Gupta, R. C. (2000), "History of Mathematics in India", in Hoiberg, Dale; Ramchandani, Indu, 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
References
- Jaini, Padmanabh S. (1991), Gender and Salvation: Jaina Debates on the Spiritual Liberation of Women, University of California Press, ISBN 0-520-06820-3
External links
- Singh, A. N. "Mathematics of Dhavala". Lucknow University. Translation of part of the Dhavala.
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