{"title":"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 *","authors":"S. L. van der Pas","doi":"10.1017/S0009838814000457","DOIUrl":null,"url":null,"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.","PeriodicalId":47185,"journal":{"name":"CLASSICAL QUARTERLY","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2014-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/S0009838814000457","citationCount":"1","resultStr":"{\"title\":\"THE NORMAL ROAD TO GEOMETRY: δή IN EUCLID'S ELEMENTS AND THE MATHEMATICAL COMPETENCE OF HIS AUDIENCE*\",\"authors\":\"S. L. van der Pas\",\"doi\":\"10.1017/S0009838814000457\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":47185,\"journal\":{\"name\":\"CLASSICAL QUARTERLY\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2014-11-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/S0009838814000457\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CLASSICAL QUARTERLY\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/S0009838814000457\",\"RegionNum\":3,\"RegionCategory\":\"历史学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CLASSICAL QUARTERLY","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/S0009838814000457","RegionNum":3,"RegionCategory":"历史学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
THE NORMAL ROAD TO GEOMETRY: δή IN EUCLID'S ELEMENTS AND THE MATHEMATICAL COMPETENCE OF HIS AUDIENCE*
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.
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