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The iterative approximation techniques described in the Jaipur manuscript’s excerpt of the jyācāpa section of the Siddhāntakaustubha can be used for determining either R sin 1°, denoted 𝑥, or its double Crd 2°, denoted y. As explained in section 1.1, R sin denotes the standard sine function scaled to the given trigonometric radius R (usually 60 in this context), and Crd is the chord of the designated arc in the circle of radius R.

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Mathematical Notes on the jyācāpa Excerpt

  • 章节

  • 发表日期：

    2025年

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  • Clemency Montelle,
  • Kim Plofker,
  • Glen Van Brummelen

摘要

The iterative approximation techniques described in the Jaipur manuscript’s excerpt of the jyācāpa section of the Siddhāntakaustubha can be used for determining either R sin 1°, denoted 𝑥, or its double Crd 2°, denoted y. As explained in section 1.1, R sin denotes the standard sine function scaled to the given trigonometric radius R (usually 60 in this context), and Crd is the chord of the designated arc in the circle of radius R.