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算額の数学史・文化史的な調査・研究とその科学教育への活用について

Research Project

Project/Area Number 10680007
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 InstitutionToyo University

Principal Investigator

YONEYAMA Tadaoki  Toyo University, Faculty of Literature, Professor, 文学部, 教授 (00120353)

Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥1,600,000 (Direct Cost: ¥1,600,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥600,000 (Direct Cost: ¥600,000)
KeywordsHistorical / Japan / Geometry / Dedicated Tablets / Shrine and Temple
Research Abstract

The purpose of our researches are decoding problems and technical sentences in dedicated tablets and in books of Japanese historical mathematics written in Chinese literature, investigating the significance in mathematical history and in caltural history, inquiring into the solution of mathematic (especially geometric) problems, and moreover, planning to utilize our research to the education in mathematics and science.
Before and after our scientific research was adopted to Grant-in-Aid in the academic year 1998 (Heisei 10), progress was made in researches "circular inversion", "three inscribed circles it a rectangular triangle", and "equi-radius inscribed circles in each segmental triangle". Three papers were published on the former two themes, but not the last theme. The other problems, like "ellipse and circle inscribed in a rectangle" given by Naonobu Ajima, "a spheroid inscribed in a box", and "the fifth problem dedicated to Oishiko Shrine", and so on, were investigated. Poster paper were presented at Third International Conference on Oriental Astronomy held at Fukuoka 1998.
Concerning to the last part in ours subject : "utilization to science education", I mentioned to the tablet dedicated by Mogami Tokunai in connection with land survey and longitude-latitude of the Earth in my textbook on astrnomy.
In December 2000, I dedicated mathematical tablet to Takasago Shrine in Hyougo prefecture as the outcome of our research. I hope that high school and college student and also all people will be interested in Japanese historical mathematics as the precious cultural inheritance.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] 米山忠興: "算額(その4)-反転法-"東洋大学紀要教養課程篇(自然科学). 第43号. 21-31 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 米山忠興: "算額(その5)-反転法つづき-"東洋大学紀要教養課程篇(自然科学). 第44号. 31-46 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 米山忠興: "算額(その6)-鉤股中三円図-"東洋大学紀要教養課程篇(自然科学). 第44号. 47-69 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 米山忠興: "算額(その7)-高砂神社奉納算額-"東洋大学紀要自然科学篇. 第45号. 73-81 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Yoneyama: "Historical Japanese Geometry on Votive Tablets (Poster Paper)."Proceeding of the Third International Conference on Oriental Astronomy.. Fukuoka,1998. 263-270 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] YONEYAMA, Tadaoki: "Historical Jananese Geometry on Votive Tablets(4) -Circular Inversion-"Journal of the Toyo University, General Education (Natural Science). No.43. 21-31 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] YONEYAMA, Tadaoki: "Historical Japanese Geometry on Votive Tablets(5) -Circular Inversion (Continued)-"Journal of the Toyo University, General Education (Natural Science). No.44. 31-46 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] YONEYAMA,Tadaoki: "Historical Japanese Geometry on Votive Tablets(6) -Three Inscribed Circles in Rectangular Triangle-"Journal of the Toyo University, General Education (Natural Science). No.44. 47-69 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] YONEYAMA,Tadaoki: "Historical Japanese Geometry on Votive Tablets (Poster Paper)"Proceeding of the Third International Conference on Oriental Astronomy, Fukuoka, 27-30 October 1998.. 263-270

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] YONEYAMA, Tadaoki: "Historical Japanese Geometry on Votive Tablets(7) -Dedication of Mathematical Tablets to Takasago Shrine-"Journal of the Toyo University, Natural Science. No.45. 73-81 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 米山忠興: "算額(その7)-高砂神社への算額奉納"東洋大学紀要自然科学篇. 第45号. 73-81 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Tadaoki YONEYAMA: "Historical Japanese Geometry on Votare Tablets (poster paper)."Proceeding of the Third International Conference on Oriental Astronomy, Fukuoka,1998. 263-270 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 米山忠興: "算額(その5)-反転法つづき-"東洋大学紀要・教養課程篇(自然科学). 第44号. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 米山忠興: "算額(その6)-鉤股中三円図-"東洋大学紀要・教養課程篇(自然科学). 第44号. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 米山忠興: "算額(その4)-反転法-" 東洋大学紀要・教養課程篇(自然科学). 43号. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 米山忠興: "教養のための天文学講義" 丸善, 240 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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