论文标题
元素第二本书中图的现象学
Phenomenology of diagrams in Book II of the Elements
论文作者
论文摘要
在本文中，我们从表示并未在图表上表示的数字的角度来解释第二本书的元素。我们表明，欧几里得对图中未表示的数字的依赖是一种证明技术，它使他的图II.11--14变成了一种意识形态图。我们还讨论了由J. Baldwin和A. Mueller，L。Corry，D。Fowler，R。Hartshorne，I。Mueller，K。Saito以及B. Van Der Waerden的版本中所谓的几何代数解释。
In this paper, we provide an interpretation of Book II of the Elements from the perspective of figures which are represented and not represented on the diagrams. We show that Euclid's reliance on figures not represented on the diagram is a proof technique which enables to turn his diagrams II.11--14 into ideograms of a kind. We also discuss interpretations of Book II developed by J. Baldwin and A. Mueller, L. Corry, D. Fowler, R. Hartshorne, I. Mueller, K. Saito, and the so-called geometric algebraic interpretation in B. van der Waerden's version.
