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Database of the diagrams of ancient and medieval mathematical works

Research Project

Project/Area Number 21300325
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  大阪府立大学, 人間社会学部, 教授 (10221988)

Co-Investigator(Kenkyū-buntansha) NATHAN C Sidoli  早稲田大学, 国際教養学部, 講師 (50548922)
Project Period (FY) 2009 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥9,620,000 (Direct Cost: ¥7,400,000、Indirect Cost: ¥2,220,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2010: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords科学史 / ギリシャ数学 / エウクレイデス / 図版 / 写本の伝承 / 国際研究者交流 / ポーランド / スペイン / フランス / ユークリッド / 写本の図版 / メネラオス / アル・ハラウィ / アルキメデス / 国際研究交流 / アメリカ合衆国:エジプト:フランス:台湾
Research Abstract

We have developed a software DRaFT which enables easy and accurate reproduction of mathematical diagrams which appear in manuscripts. The reproduction of the diagrams in major manuscripts of following works has been published: Euclid’s ElementsBooks VI, XI, XII, XIII (including those of Book XII in Bologna manuscript, which are considerably DIFFERENT from other traditions, and have been inedited), Arabic version of Menalaus’ Spherics by Al-Harawi. The reproduction as well as the software is available at http://www.greekmath.org. We have also made some suggestions concerning the principle of critical assessment of variants of diagrams in different manuscripts.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (18 results)

All 2013 2012 2010 2009 Other

All Journal Article (2 results) (of which Peer Reviewed: 1 results) Presentation (11 results) Book (1 results) Remarks (4 results)

  • [Journal Article] Tradition of the diagrams, tradition of the text: A case study2012

    • Author(s)
      Ken Saito
    • Journal Title

      Synthese

      Volume: 186 Issue: 1 Pages: 7-20

    • DOI

      10.1007/s11229-012-0073-3

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
  • [Journal Article] Comparative analysis in Greek geometry.2012

    • Author(s)
      Ken Saito, Nathan Sidoli
    • Journal Title

      Historia mathematica

      Volume: 39 Issue: 1 Pages: 1-33

    • DOI

      10.1016/j.hm.2011.09.002

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] 原論第XII巻命題7の図版2013

    • Author(s)
      斎藤憲
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-20
    • Related Report
      2012 Final Research Report
  • [Presentation] 『原論』第XII巻命題7の図版2013

    • Author(s)
      斎藤憲
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Le figure nei libri stereometrici degli Elementi di Euclide2012

    • Author(s)
      Ken Saito
    • Organizer
      Society italiana di storia delle matematiche: XII congresso.
    • Place of Presentation
      University cattolica del sacro cuore. ブレシア(イタリア)
    • Year and Date
      2012-11-09
    • Related Report
      2012 Final Research Report
  • [Presentation] 古代中世数学文献の図版の校訂への課題2012

    • Author(s)
      斎藤憲
    • Organizer
      日本科学誌学会第59回年回
    • Place of Presentation
      三重大学
    • Year and Date
      2012-05-27
    • Related Report
      2012 Final Research Report
  • [Presentation] 古代中世数学文献の図版の校訂への課題2012

    • Author(s)
      斎藤憲
    • Organizer
      日本科学史学会第59回年会
    • Place of Presentation
      三重大学
    • Related Report
      2012 Annual Research Report
  • [Presentation] Le figure nei libri stereometrici degli Elementi di Euclide2012

    • Author(s)
      Ken Saito
    • Organizer
      Società italiana di storia delle matematiche: XII congresso
    • Place of Presentation
      Università cattolica del sacro cuore (Brescia)
    • Related Report
      2012 Annual Research Report
  • [Presentation] Le figure del libro XII degli Elementi di Euclide2010

    • Author(s)
      Ken Saito
    • Organizer
      Seminario di studi sulla scienza antica e la sua tradizione
    • Place of Presentation
      ミラノ大学(イタリア)
    • Year and Date
      2010-10-08
    • Related Report
      2012 Final Research Report
  • [Presentation] Le figure del libro XII degli Elementi di Euclide2010

    • Author(s)
      斎藤憲(Ken Saito)
    • Organizer
      Seminario di studi sulla scienza antica e la suatradizione
    • Place of Presentation
      ミラノ大学(イタリア)
    • Year and Date
      2010-10-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Toward a database of diagrams: to register and to be able to search characteristics of figures in classical geometry.2010

    • Author(s)
      Ken Saito
    • Organizer
      Congres Internationale: Texte & Images.
    • Place of Presentation
      パリ天文台(フランス)
    • Year and Date
      2010-05-07
    • Related Report
      2012 Final Research Report
  • [Presentation] Toward a database of diagrams : to register and to be able to search characteristics of figures in classical geometry2010

    • Author(s)
      斎藤憲(Ken Saito)
    • Organizer
      Congres Internationale : Texte & Image
    • Place of Presentation
      パリ天文台(フスンス)
    • Year and Date
      2010-05-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] Focusing on Actual Manuscripts to Discuss What the Genuine Text of Euclid Was2009

    • Author(s)
      Ken Saito
    • Organizer
      XXIII International Congress of History of Science and Technology
    • Place of Presentation
      ブダペスト(ハンガリー)
    • Year and Date
      2009-08-01
    • Related Report
      2012 Final Research Report 2009 Annual Research Report
  • [Book] 高橋憲一訳・解説『エウクレイデス全集』第2巻2010

    • Author(s)
      斎藤憲
    • Total Pages
      515
    • Related Report
      2012 Final Research Report
  • [Remarks]

    • URL

      http://www.greekmath.org

    • Related Report
      2012 Final Research Report
  • [Remarks] Diagrams in Greek mathematical works

    • URL

      http://www.greekmath.org

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2010 Annual Research Report

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Published: 2009-04-01   Modified: 2019-07-29  

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