Acharya Virasena (792-853 CE), also known as Veerasena, was a
Digambara monk
Digambara Sādhu (also ''muni'', ''sādhu'') is a Sādhu in the Digambar tradition of Jainism, and as such an occupant of the highest limb of the four-fold '' sangha''. They are also called ''Nirgranth'' which means "one without any bonds". ...
and belonged to the lineage of Acharya
Kundakunda
Kundakunda was a Digambara Jain monk and philosopher, who likely lived in the 2nd CE century CE or later.
His date of birth is māgha māsa, śukla pakṣa, pañcamī tithi, on the day of Vasant Panchami.
He authored many Jain texts such ...
. He was an
Indian mathematician
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta ...
and Jain philosopher and scholar. He was also known as a famous orator and an accomplished poet. His most reputed work is the Jain treatise '' Dhavala''. The late Dr. Hiralal Jain places the completion of this treatise in 816 AD.
Virasena was a noted mathematician. He gave the derivation of the
volume
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch). ...
of a frustum by a sort of infinite procedure. He worked with the concept of ''Ardha Chheda'': 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).
Virasena gave the approximate formula ''C'' = 3''d'' + (16''d''+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
''Aryabhatiya'' (IAST: ') or ''Aryabhatiyam'' ('), a Sanskrit astronomical treatise, is the '' magnum opus'' and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that ...
''.
Life
Virasena was proficient in astrology, grammar, logic, mathematics and prosody. He wrote '' Dhavala'', a commentary on Jain canon '' Shatakhandagama''. He also started the work on ''Jayadhavalaa'' which was competed by his disciples. He was among the jewels of
Rashtrakuta
Rashtrakuta ( IAST: ') (r. 753-982 CE) was a royal Indian dynasty ruling large parts of the Indian subcontinent between the sixth and 10th centuries. The earliest known Rashtrakuta inscription is a 7th-century copper plate grant detailing the ...
king
Amoghavarsha
Amoghavarsha I (also known as Amoghavarsha Nrupathunga I) (r.814–878 CE) was the greatest emperor of the Rashtrakuta dynasty, and one of the most notable rulers of Ancient India. His reign of 64 years is one of the longest precisely dated mo ...
.
His lineage started with Chandrasena who initiated Aryanandi. Aryanandi initiated Virasena and Jayasena. Virasena initiated six disciples who were Dasharayguru,
Jinasena
Jinasena (c. 9th century CE) was a monk and scholar in the ''Digambara'' tradition of Jainism. He was patronized by the Rashtrakuta king Amoghavarsha I. He was the author of ''Adipurana'' and '' Mahapurana''.Gunabhadra who later initiated Lokasena. Vinayasena initiated Kumarasena who started the Kashtha Sangha.
See also
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Indian mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta ...