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  1. 掲載誌一覧
  2. 鹿児島大学教育学部研究紀要.自然科学編
  3. vol.72(2021年3月)
  1. 教育学部
  2. 教育学部・紀要論文

An Analogue of an Old Quadrature Problem by Archimedes

http://hdl.handle.net/10232/00031641
http://hdl.handle.net/10232/00031641
2d8ab153-de93-42d1-b7f6-ec91e88eb4ff
名前 / ファイル ライセンス アクション
24359807_v72_p1-11.pdf 24359807_v72_p1-11 (784.4 kB)
Item type 紀要論文 / Departmental Bulletin Paper(1)
公開日 2021-03-26
タイトル
タイトル An Analogue of an Old Quadrature Problem by Archimedes
著者 ISOKAWA, Yukinao

× ISOKAWA, Yukinao

WEKO 138913

ISOKAWA, Yukinao

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言語
言語 eng
キーワード
主題言語 en
主題Scheme Other
主題 Cone
キーワード
主題言語 en
主題Scheme Other
主題 Suface area
キーワード
主題言語 en
主題Scheme Other
主題 Volume
キーワード
主題言語 en
主題Scheme Other
主題 Archimedes
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ departmental bulletin paper
要約(Abstract)
内容記述タイプ Other
内容記述 Consider a solid made by intersecting two congruent cones while assuming that axes of these cones intersect perpendicularly. The paper studies quadrature of both surface area S and volume V of the solid, and gives explicit exressions for S and V . In a limitting case where cones tend to cylinders, these explicit expressions reduce to the oldest result by Archimedes. In the final section we investigate relationship between S and V , and find a relation which states that volume V of our solid is equal to that of a cone with base being equal to S and height (after being appropriately defined). This relation is similar to the greatest discovery by Archimedes for spheres.
収録雑誌名 鹿児島大学教育学部研究紀要. 自然科学編
en : Bulletin of the Faculty of Education, Kagoshima University. Natural science

巻 72, p. 1-11, 発行日 2021-03
ISSN
収録物識別子タイプ ISSN
ISSN 24359807
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
NDC
主題Scheme NDC
主題 410
公開者・出版者
出版者 鹿児島大学
公開者よみ
公開者よみ カゴシマ ダイガク
公開者別名
公開者別名 Kagoshima University
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