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Maurolico, Rheticus, and the Birth of the Secant Function
Journal for the History of Astronomy ( IF 0.3 ) Pub Date : 2021-05-10 , DOI: 10.1177/00218286211013202
Glen Van Brummelen 1 , James Steven Byrne 2
Affiliation  

In 1551, Georg Rheticus published a compact set of tables that effectively completed the set of all six trigonometric functions. However, his work was not widespread, and may not have been known to Francesco Maurolico when he published a secant table in 1558. Before the end of the century, several authors argued whether Maurolico had borrowed the notion of the secant, and his table, from Rheticus. We present Maurolico’s text on his table (named the tabula benefica in a nod to Regiomontanus’s tangent table, the tabula foecunda), as well as a translation and analysis. Finally, we demonstrate that Maurolico’s table is too accurate to have derived from Rheticus’s work, absolving him of the historical accusation.



中文翻译:

Maurolico,Rheticus和割线函数的诞生

1551年,Georg Rheticus发布了一组紧凑的表格,有效地完成了所有六个三角函数的设置。但是,他的工作并不广泛,Francesco Maurolico于1558年发布割线表可能并不为人所知。在本世纪末,几位作者争辩说Maurolico是否借用了割线的概念,而他的表,来自Rheticus。我们目前对他的表(命名为Maurolico文本塔布拉benefica在点头雷格蒙塔努斯的切线表中,塔布拉foecunda),以及翻译和分析。最后,我们证明了Maurolico的表格过于精确,无法从Rheticus的作品中得出,这使他免于历史指责。

更新日期:2021-05-10
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