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As previously noted in section 1.2, the iterative-approximation approach discovered by al-Kāshī for computing the sine of one degree appears to have entered the Sanskrit mathematical corpus via the 1639 Sarvasiddhāntarāja of Nityānanda. This comprehensive treatise devotes a section of its trigonometry exposition to R sin 1° methods (verses I.3.60–85) (Montelle and Ramasubramanian 2018). Here we describe the parts of that section that are closely related to the earlier Arabic and Persian material summarized by al-Bīrjandī, and the later Sanskrit work of Jagannātha and Nayanasukha at the Jaipur court.

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Iterative Sine 1° Computations in the Sanskrit Tradition

  • 章节

  • 发表日期：

    2025年

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

摘要

As previously noted in section 1.2, the iterative-approximation approach discovered by al-Kāshī for computing the sine of one degree appears to have entered the Sanskrit mathematical corpus via the 1639 Sarvasiddhāntarāja of Nityānanda. This comprehensive treatise devotes a section of its trigonometry exposition to R sin 1° methods (verses I.3.60–85) (Montelle and Ramasubramanian 2018). Here we describe the parts of that section that are closely related to the earlier Arabic and Persian material summarized by al-Bīrjandī, and the later Sanskrit work of Jagannātha and Nayanasukha at the Jaipur court.