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1997 Fiscal Year Final Research Report Summary

Restoration of the Tool-Box of Greek Mathematics

Research Project

Project/Area Number 07680077
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 科学技術史(含科学社会学・科学技術基礎論)
Research InstitutionOsaka Prefecture University (1997)
Chiba University (1995-1996)

Principal Investigator

SAITO Ken  Osaka Prefecture University, College of Integrated Arts and Sciences, Associate Professor, 綜合科学部, 助教授 (10221988)

Project Period (FY) 1995 – 1997
KeywordsGreek Mathematics / Euclid / Apollonius / Archimedes / Elements / Conics
Research Abstract

Whole texts of the first four books of Apollonius' Conics, and some of Archimedes' works (On the Sphere and Cylinder, On Conoids and Spheroids and On Spirals) have been analyzed and the propositions and assumptions used there have been identified and indexed. Though only the index for the Conics has been printed in the report, the whole result is available on the web page : wwwhs.cias.osakafu-u.ac.jp/^-ksaito/. These indices contain almost all the "tools" for investigations and justifications in the arguments of Greek Geometers, and will be helpful for historians of Greek mathematics.
Ken SAITO,the head investigator, is grateful to Roberta Tassora (Pisa University, Italy), who analyzed the Conics, On the Sphere and Cylinder and On Conoids and Spheroids. Without her diligent and accurate work, this research would have been impossible. The final version of the indices is due to Ken SAITO,who is responsible for any error or imperfection in it.

  • Research Products

    (2 results)

All Other

All Publications (2 results)

  • [Publications] 斎藤 憲: "ユークリッド『原論』の成立:古代の伝承と現代の神話" 東京大学出版会, 254 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Ken SAITO: The Formation of Euclid's Elements : Ancient Tradition and Modern Myth (in Japanese). University of Tokyo Press, 254 (1997)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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