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The profusion of iterative algorithms for finding various forms of R sin 1° and Crd 2° that we have examined in this study testifies to the interest the problem inspired among early modern trigonometers writing in Arabic, Persian and Sanskrit. But the specific interconnections of these closely related algorithms still remain quite obscure: the questions they raise are too numerous to list, much less answer fully in the present work. In the remaining pages we briefly summarize some of the prospects for further investigation.

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Reflections on the Three Techniques of R sin 1° Iteration

  • 章节

  • 发表日期：

    2025年

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

摘要

The profusion of iterative algorithms for finding various forms of R sin 1° and Crd 2° that we have examined in this study testifies to the interest the problem inspired among early modern trigonometers writing in Arabic, Persian and Sanskrit. But the specific interconnections of these closely related algorithms still remain quite obscure: the questions they raise are too numerous to list, much less answer fully in the present work. In the remaining pages we briefly summarize some of the prospects for further investigation.