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Investigation and Research on Mathematics on Votive Tablets and Japanese Historical Mathematics, Search for a Key to Solution

Research Project

Project/Area Number 15500660
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

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

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 2005: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2004: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
KeywordsMathematics on Votive Tablets / Japanese Historical Mathematics / History of Mathematics / History of Science / 等円術 / 側円・側円術 / 岡山県の算額 / 一関の算額 / 粒座神社 / 龍野
Research Abstract

The aim of this research subject, written in Application Protocol, was as followings : Investigations and researches of Mathematical tablets dedicated to the shrine and published works of Japanese historical Mathematics, Search for a key to solution of Mathematic problems, and Introduce these Achievements of Japanese historical Mathematics to the public.
A considerable part of desired aim were attained and six papers were published in this research term : three years.
The dedication of my own Mathematic tablet to the shrine is future subject.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (17 results)

All 2006 2005 2004 Other

All Journal Article (15 results) Publications (2 results)

  • [Journal Article] 算額(その11)-郡上八幡神社-2006

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 50

      Pages: 89-106

    • NAID

      120005274112

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 等円術II-三斜等円術(一般公式)-2006

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 50

      Pages: 107-121

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Historical Japanese Geometry on Votive Tablets (11) - Gujo-Hachiman Shrine -2006

    • Author(s)
      Yoneyama, T :
    • Journal Title

      Journal of Toyo University, Natural Science Vol.50

      Pages: 89-106

    • NAID

      120005274112

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Equi-radial Circles in Segmental Triangles II. - Oblique Triangles ( General Formula ) -2006

    • Author(s)
      Yoneyama, T :
    • Journal Title

      Journal of Toyo University, Natural Science Vol.50

      Pages: 107-121

    • NAID

      120005274113

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 算額(その11)-郡上八幡神社-2006

    • Author(s)
      米山 忠興
    • Journal Title

      東洋大学紀要(自然科学篇) 50

      Pages: 89-106

    • NAID

      120005274112

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 等円術II-三斜等円術(一般公式)-2006

    • Author(s)
      米山 忠興
    • Journal Title

      東洋大学紀要(自然科学篇) 50

      Pages: 107-121

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 等円術I-鉤股中等円術-2005

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 49

      Pages: 87-110

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Equi-radial Circles in Segmental Triangles I. - Rectangular Triangle -2005

    • Author(s)
      Yoneyama, T :
    • Journal Title

      Journal of Toyo University, Natural Science Vol.49

      Pages: 87-110

    • NAID

      120005274106

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 等円術I.-鉤股中等円術-2005

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 49号

      Pages: 86-110

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 和算と和製漢文2005

    • Author(s)
      米山忠興
    • Journal Title

      白山中国学 通巻11号

      Pages: 1-18

    • NAID

      40007039289

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 算額(その10)-粒座天照神社-2004

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 48

      Pages: 75-85

    • NAID

      120005274101

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 側円術II-側円公式の例題・応用-2004

    • Author(s)
      米山忠興
    • Journal Title

      東洋大学紀要自然科学篇 48

      Pages: 87-97

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 和算と和製漢文2004

    • Author(s)
      米山忠興
    • Journal Title

      白山中国学 通巻11

    • NAID

      40007039289

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Historical Japanese Geometry on Votive Tablets (10) - Ryuza Shrine -2004

    • Author(s)
      YONEYAMA, T :
    • Journal Title

      Journal of Toyo University, Natural Science Vol.48

      Pages: 75-85

    • NAID

      120005274101

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Ellipse in Japanese Historical Mathematics II. - Applications of Elliptic Formulae -2004

    • Author(s)
      Yoneyama, I :
    • Journal Title

      Journal of Toyo University, Natural Science Vol.48

      Pages: 87-97

    • NAID

      120005274102

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] 米山 忠興: "算額(その10)-粒座天照神社-"東洋大学紀要 自然科学篇. 第48号. 75-85 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 米山 忠興: "側円術II.-側円公式の例題・応用-"東洋大学紀要 自然科学篇. 第48号. 87-97 (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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