AbstractGiovanni Bianchini’s fifteenth-century Tabulae primi mobilis is a collection of 50 pages of canons and 100 pages of tables of spherical astronomy and mathematical astrology, beginning with a treatment of the conversion of stellar coordinates from ecliptic to equatorial. His new method corrects a long-standing error made by a number of his antecedents, and with his tables the computations are much more efficient than in Ptolemy’s Almagest. The completely novel structure of Bianchini’s tables, here and in his Tabulae magistrales, was taken over by Regiomontanus in the latter’s Tabulae directionum. One of the tables Regiomontanus imported from Bianchini contains the first appearance of the tangent function in Latin Europe, which both used as an auxiliary quantity for the calculation of stellar coordinates.

中文翻译：

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错误的终结：Bianchini、Regiomontanus 和恒星坐标制表

摘要 Giovanni Bianchini 的 15 世纪 Tabulae primi mobilis 是 50 页的经典和 100 页的球面天文学和数学占星学表格的集合，从处理恒星坐标从黄道到赤道的转换开始。他的新方法纠正了他的一些前因所犯的一个长期存在的错误，并且他的表格的计算比托勒密的 Almagest 有效得多。在这里和他的 Tabulae magistrales 中，Bianchini 的表格的全新结构被 Regiomontanus 在后者的 Tabulae directionum 中接管。从 Bianchini 导入的 Regiomontanus 表中的一个包含了拉丁欧洲首次出现的切线函数，它们都用作计算恒星坐标的辅助量。