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An Analogue of an Old Quadrature Problem by Archimedes
http://hdl.handle.net/10232/00031641
http://hdl.handle.net/10232/000316412d8ab153-de93-42d1-b7f6-ec91e88eb4ff
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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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 |
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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 |
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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 |