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Gaṇitānanda pp 129-138 | Cite as

Mādhavacandra’s and Other Octagonal Derivations of the Jaina Value \(\pi = \sqrt{10}\)

  • K. RamasubramanianEmail author
Chapter

Abstract

\(\sqrt{10}\) was one of the approximate values of \(\pi \) used in ancient and medieval times especially in Jaina works. K. Hunrath derived it from a dodecagon a century ago, and G. Chakravarti from an octagon about fifty years ago. An ancient derivation given by Mādhavacandra (c. 1000 ad) in his Sanskrit commentary on Tiloya-sāra of Nemicandra. (c. 975 ad) has been examined in detail especially in the light of expositions given by Chakravarti and Āryikā Viśuddhamatī recently.

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Cell for Indian Science and Technology in Sanskrit, Department of Humanities and Social SciencesIndian Institute of Technology BombayMumbaiIndia

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