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

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

A chapter in Gaṇitānanda, 2019, pp 129-138 from Springer

Abstract: 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.

Date: 2019
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DOI: 10.1007/978-981-13-1229-8_18

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