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Gnomonic shadow

  • Venketeswara Pai
  • K. Ramasubramanian
  • M. S. Sriram
  • M. D. Srinivas
Chapter
Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)

Abstract

The hypotenuse of the gnomon (palaśruti) is obtained by taking the square root of the sum of 144 (bhavaka) and the square of the mid-day shadow [of the gnomon] on the equinoctial day (viṣuvaddina).1 The mid-day shadow on the equinoctial day when multiplied by the radius (triguṇa) and divided by that [hypotenuse] would be the Rsine of the terrestrial latitude (akṣamaurvikā).

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018 and Hindustan Book Agency 2018

Authors and Affiliations

  • Venketeswara Pai
    • 1
  • K. Ramasubramanian
    • 2
  • M. S. Sriram
    • 3
  • M. D. Srinivas
    • 4
  1. 1.Department of Humanities and Social SciencesIndian Institute of Science Education and ResearchPuneIndia
  2. 2.Department of Humanities and Social SciencesIndian Institute of Technology BombayMumbaiIndia
  3. 3.Prof. K.V. Sarma Research FoundationChennaiIndia
  4. 4.Centre for Policy StudiesChennaiIndia

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