2020/10/16 by Piotr Błaszczyk, Błaszczyk, Piotr
Computer Science · Mathematics · #History and Theory of Mathematics #Mathematics and Applications #Mathematics, Computing, and Information Processing #math.HO
paper · pdf · doi:10.48550/arxiv.2010.08550
arxiv created 2020/10/16 · arxiv updated 2020/10/20
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.