• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Study for critical edition of the diagrams in Greek mathematical works

Research Project

Project/Area Number 17300287
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Sociology/History of science and technology
Research InstitutionOsaka Prefecture University

Principal Investigator

SAITO Ken  Osaka Prefecture University, School of Humanities and Social Sciences, Associate Professor (10221988)

Co-Investigator(Kenkyū-buntansha) TAKAHASHI Kenichi  Kyushu University, Graduate School of Social and Cultural Studies, Professor (00163254)
SUZUKI Takanori  Tokai University, School of High-Technology for Human Welfare, Associate Professor (20226525)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥9,980,000 (Direct Cost: ¥9,200,000、Indirect Cost: ¥780,000)
Fiscal Year 2007: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2006: ¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 2005: ¥4,400,000 (Direct Cost: ¥4,400,000)
KeywordsGreek mathematics / Greek astronomy / Diaarams in Greek mathematical works / Arabic Astronomy / Euclid / ギリシャ天文学史 / 国際研究者交流 / カナダ:フランス:エジプト / 古文書学 / 写本の図版 / イタリア,カナダ
Research Abstract

Diagrams of Euclid's Elements (Books 1-4), Phaenomena and Optics as they appear in manuscripts have been examined. It has turned out that the diagrams are considerably different from what we see in modern editions of these works, especially in the Elements for which the diagrams have been modefied for educational purpose.
All the diagrams are reproduced in the report (160 pages) which is also available on the web. A computer program used to make the reproduced diagrams is free and available to anyone.
The reproduced diagrams will serve to improve our understanding of ancient mathematicians' space recognition and of their criteria for valid proof in geometry.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (12 results)

All 2008 2007 2006 Other

All Journal Article (4 results) (of which Peer Reviewed: 1 results) Presentation (4 results) Book (2 results) Remarks (2 results)

  • [Journal Article] エウクレイデスの全体像に迫る2008

    • Author(s)
      斎藤 憲・鈴木 孝典・高橋 憲一, 他1名
    • Journal Title

      科学史研究 47

      Pages: 36-47

    • Related Report
      2007 Annual Research Report
  • [Journal Article] ユークリッド『原論』の図版 : 中間報告2007

    • Author(s)
      斎藤 憲
    • Journal Title

      津田塾大学・計算機科学 研究所報 28

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A preliminary study in the critical assessment of diagrams in Greek mathematical works2006

    • Author(s)
      Ken Saito
    • Journal Title

      SCIAMVS 7

      Pages: 81-144

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary 2006 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A preliminary study in the critical assessment of diagrams in Greek mathematical works2006

    • Author(s)
      Ken, Saito
    • Journal Title

      SCIAMVS 7

      Pages: 81-144

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] エウクレイデスの全体像に迫る:全集翻訳の経験から2007

    • Author(s)
      三浦 伸夫, 高橋 憲一, 鈴木 孝典, 斎藤 憲
    • Organizer
      日本科学史学会第54回年会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2007-05-27
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] エウクレイデスの全体像に迫る2007

    • Author(s)
      斎藤 憲・鈴木 孝典・高橋 憲一, 他1名
    • Organizer
      日本科学史学会2007年度年会シンポジウム
    • Place of Presentation
      京都産業大学
    • Year and Date
      2007-05-27
    • Related Report
      2007 Annual Research Report
  • [Presentation] Diagrams-sources hitherto ignored2007

    • Author(s)
      Ken Satio
    • Organizer
      AMS-MAA Joint Mathematics Meetings
    • Place of Presentation
      New Orleans
    • Year and Date
      2007-01-07
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Diagrams…sources hitherto ignored2007

    • Author(s)
      Ken, Saito
    • Organizer
      AMS-MAA Joint Mathematics Meetings
    • Place of Presentation
      New Orleans
    • Year and Date
      2007-01-07
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] エウクレイデス全集 第1巻2008

    • Author(s)
      三浦 伸夫・斎藤 憲(訳・解説)
    • Total Pages
      504
    • Publisher
      東京大学出版会
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] エウクレイデス(全集第1巻)2008

    • Author(s)
      斎藤 憲・三浦 伸夫
    • Total Pages
      504
    • Publisher
      東京大学出版会
    • Related Report
      2007 Annual Research Report
  • [Remarks] 「研究成果報告書概要(和文)」より

    • URL

      http://www.hs.osakafu-u.ac.jp/~ken.saito/diagram/

    • Related Report
      2007 Final Research Report Summary
  • [Remarks]

    • URL

      http://www.hs.osakafu-u.ac.jp/~ken.saito/diagram/index.html

    • Related Report
      2007 Annual Research Report

URL: 

Published: 2005-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi