THE NORMAL ROAD TO GEOMETRY: δή IN EUCLID'S ELEMENTS AND THE MATHEMATICAL COMPETENCE OF HIS AUDIENCE*

IF 0.2 3区历史学 Q1 Arts and Humanities

CLASSICAL QUARTERLY Pub Date : 2014-11-20 DOI:10.1017/S0009838814000457

S. L. van der Pas

引用次数: 1

Abstract

Euclid famously stated that there is no royal road to geometry, but his use of δή does give an indication of the minimum level of knowledge and understanding which he required from his audience. The aim of this article is to gain insight into his interaction with his audience through a characterization of the use of δή in the Elements. I will argue that the primary use of δή indicates a lively interaction between Euclid and his audience. Furthermore, the specific contexts in which δή occurs reveal the considerable mathematical competence that Euclid expected from his audience.

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通往几何的正常道路:欧几里得的元素和他的听众的数学能力之间的δή *

欧几里得有一个著名的说法，那就是没有通往几何的捷径，但是他对δή的使用确实表明了他对听众的最低知识和理解水平的要求。本文的目的是通过描述“δή”在《要素》中的使用，深入了解他与听众之间的互动。我将论证δή这个词的主要使用表明欧几里得和他的听众之间有一种生动的互动。此外，δή发生的特定情境显示欧几里得期望他的听众具有相当的数学能力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

CLASSICAL QUARTERLY CLASSICS-

CiteScore

0.40

自引率

0.00%

发文量

期刊介绍： The Classical Quarterly has a reputation for publishing the highest quality classical scholarship for nearly 100 years. It publishes research papers and short notes in the fields of language, literature, history and philosophy. Two substantial issues (around 300 pages each) of The Classical Quarterly appear each year, in May and December. Given the quality and depth of the articles published in The Classical Quarterly, any serious classical library needs to have a copy on its shelves. Published for the The Classical Association