Gaṇitānanda pp 389-395 | Cite as

Parameśvara’s Rule for the Circum-radius of a Cyclic Quadrilateral

  • K. RamasubramanianEmail author


The expression for the circum-radius of a cyclic quadrilateral in terms of its sides, usually attributed to L’Huilier in 1782, was known in India to Parameśvara (circa 1430). The present paper contains the original Sanskrit text of the rule, its English translation, and a discussion of its derivation as given by Saṅkara Vāriar in his Kriyākramakarī (sixteenth century) along with relevant historical remarks.

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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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