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'''Āchārya Virasena''' was an 8th century [[India|Indian]] [[Indian mathematics|mathematician]] and [[Jainism|Jain]] philosopher and scholar. He was a student of the Jain sage Elāchārya<ref name="Indranandi" />. He is also known to be a famous orator and an accomplished poet<ref name="Jinasena" />. His most reputed work is the Jain treatise '''Dhavala'''. Late Dr. Hiralal Jain places the completion of this treatise in 816 AD<ref>{{cite book
'''Virasena''' was an 8th century [[Indian mathematics|mathematician]] in [[India]] who 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).<ref>{{citation| contribution=History of Mathematics in India|title=Students' Britannica India: Select essays|editor-first1=Dale|editor-last1=Hoiberg|editor-first2=Indu|editor-last2=Ramchandani|first=R. C.|last=Gupta|page=329|publisher=Popular Prakashan|date=2000| contribution-url=http://books.google.co.uk/books?id=-xzljvnQ1vAC&pg=PA329&lpg=PA329&dq=Virasena+logarithm&source=bl&ots=BeVpLXxdRS&sig=_h6VUF3QzNxCocVgpilvefyvxlo&hl=en&ei=W0xUTLyPD4n-4AatvaGnBQ&sa=X&oi=book_result&ct=result&resnum=2&ved=0CBgQ6AEwATgK#v=onepage&q=Virasena%20logarithm&f=false}}</ref>
|last = Nagrajji
|first = Acharya Shri
|title = Agama and Tripitaka: Language and Literature
|publisher = [[Concept Publishing Company]]
|series =
|year = 2003
|page = 530
|isbn = 8170227305, 9788170227304
}}</ref>.
 
'''Virasena''' was ana 8thnoted century [[Indian mathematics|mathematician]] in [[India]]. whoHe 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).<ref>{{citation| contribution=History of Mathematics in India|title=Students' Britannica India: Select essays|editor-first1=Dale|editor-last1=Hoiberg|editor-first2=Indu|editor-last2=Ramchandani|first=R. C.|last=Gupta|page=329|publisher=Popular Prakashan|date=2000| contribution-url=http://books.google.co.uk/books?id=-xzljvnQ1vAC&pg=PA329&lpg=PA329&dq=Virasena+logarithm&source=bl&ots=BeVpLXxdRS&sig=_h6VUF3QzNxCocVgpilvefyvxlo&hl=en&ei=W0xUTLyPD4n-4AatvaGnBQ&sa=X&oi=book_result&ct=result&resnum=2&ved=0CBgQ6AEwATgK#v=onepage&q=Virasena%20logarithm&f=false}}</ref>
 
He was also the first person to give a value of [[pi]] more accurate than provided by any of his predecessors by means of constructing a [[monotonic function|monotonically decreasing]] sequence approaching pi as a [[limit (mathematics)|limit]].<ref>{{Citation
| month = November}}</ref>
 
==Notes==
{{reflist|refs=
<ref name="Jinasena">Jinasena. ''Ādi Purāņa''</ref>
<ref name="Indranandi">Indranandi. ''Shrutāvatāra''</ref>
 
==References==
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