Georg Agricola’s De Re Metallica (1556) is an impressive work about mining arts and sciences, still used as a reference work to understand the mining world of his time and to analyze the relationships between scholars and practitioners. This essay begins by studying how Agricola presents the underground surveying, also known as geometria subterranea. How does the author’s mathematics relate to contemporary geometry or to actual surveying practices? Second, the essay contrasts his scholarly approach with sixteenth-century administrative and technical documents, as well as mining sermons. Comparing the practical geometry contained in the De Re Metallica with different kinds of sources helps to question the relationships between the arts and natural and exact sciences in the practical settings of early modern Europe. Finally, it argues for a distinction between the inquiry on the historical progress of mathematics in civil life and philosophical questions about the rise of new sciences.

中文翻译：

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De Re Geometrica：在早期现代矿山中写作、绘画和讲授数学

Georg Agricola 的 De Re Metallica (1556) 是一部关于采矿艺术和科学的令人印象深刻的著作，至今仍被用作了解他那个时代的采矿世界和分析学者与从业者之间关系的参考著作。本文首先研究 Agricola 如何呈现地下测量，也称为几何地下测量。作者的数学与当代几何学或实际测量实践有何关联？其次，这篇文章将他的学术方法与 16 世纪的行政和技术文件以及采矿布道进行了对比。将 De Re Metallica 中包含的实用几何与不同类型的来源进行比较，有助于质疑早期现代欧洲实际环境中艺术与自然科学和精确科学之间的关系。最后，