Gaṇitānanda pp 353-355 | Cite as

An Indian Form of Third-Order Taylor Series Approximation of the Sine

  • K. RamasubramanianEmail author


The paper describes an approximation formula for sine \((x + h)\) that differs from the first four terms of the Taylor expansion only by having 4 in place of 6 in the denominator of the fourth term. It appears in Sanskrit stanzas quoted in a work of about the fifteenth century and given here with translation and explanation.

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© 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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