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

In: Gaṇitānanda

Author

Listed:
  • K. Ramasubramanian

    (Indian Institute of Technology Bombay, Cell for Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences)

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.

Suggested Citation

  • K. Ramasubramanian, 2019. "Mādhavacandra’s and Other Octagonal Derivations of the Jaina Value $$\pi = \sqrt{10}$$," Springer Books, in: K. Ramasubramanian (ed.), Gaṇitānanda, pages 129-138, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-1229-8_18
    DOI: 10.1007/978-981-13-1229-8_18
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