“那个小而不明智的形状”:16世纪版画中欧几里得点的视觉表现

IF 0.1 Q4 HISTORY & PHILOSOPHY OF SCIENCE
M. Barany
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引用次数: 2

摘要

本文通过仔细阅读欧几里得《几何要素》第一版印刷版中伴随几何点定义的图表,探讨了科学中视觉表现的基础和局限性。我从欧几里得“小而不敏感的形状”的图表的模态形式开始,展示了它如何结合了与欧几里得几何周围的哲学和实践角色相关的广泛的惯例和实践。然后,为了考虑几何训诂学中“纯粹表征”的作用,我探索了这种形式的几种变体,并通过描述事物与它们的图像之间的奇怪关系以及这种关系对理解科学知识和实践的影响来结束。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
'That small and unsensible shape': Visual Representations of the Euclidean Point in Sixteenth-Century Print
This paper probes the foundations and limits of visual representation in the sciences through a close reading of the diagrams that accompanied definitions of the geometric point in the first century of printed editions of Euclid’s Elements. I begin with the modal form for such diagrams of Euclid’s “small and unsensible shape,” showing how it incorporates a broad spectrum of conventions and practices related to the point’s philosophical and practical roles in the surrounding Euclidean geometry. I then explore the form’s several variations in order to consider the role of “mere representation” in geometric exegesis, and conclude by characterizing the curious relationship between things and their images and that relationship’s implications for understanding scientific knowledge and practice.
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