In my 2018 article in this journal, I described 15th-century Italian astronomer Giovanni Bianchini’s treatment of the problem of stellar coordinate conversion in his Tabulae primi mobilis , the first correct European solution. In this treatise Bianchini refers to a book he had written previously, containing the same error that had plagued his predecessors’ work on the problem. In this article, we announce the discovery of this earlier treatise. We compare its canons and tables to Bianchini’s later work, noting the places where the contents overlap (roughly one quarter of the text). We analyze his mathematical methods and the unique tables he constructed for converting stellar coordinates, including the earliest known European arc sine table, that he would abandon only a few years later.

中文翻译：

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在错误结束之前：乔瓦尼·比安奇尼 (Giovanni Bianchini) 关于恒星坐标转换的原始有缺陷的论文

在我在本刊 2018 年发表的文章中，我描述了 15 世纪意大利天文学家乔瓦尼·比安奇尼 (Giovanni Bianchini) 在他的第一个正确的欧洲解决方案 Tabulae primi mobilis 中对恒星坐标转换问题的处理。在这篇论文中，Bianchini 提到了他以前写的一本书，其中包含困扰他的前辈在该问题上的工作的相同错误。在本文中，我们宣布发现了这篇较早的论文。我们将其规范和表格与 Bianchini 的后期作品进行比较，注意内容重叠的地方（大约是文本的四分之一）。我们分析了他的数学方法和他构建的用于转换恒星坐标的独特表格，包括已知最早的欧洲反正弦表格，他将在几年后放弃这些表格。