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The 300th-and-Something Proof of the Pythagorean Theorem - A Combinatorial Equivalent - Dedicated to Professor H. Komiyama on the Occasion of His Retirement
https://doi.org/10.15113/00011349
https://doi.org/10.15113/00011349b5a412c9-157d-4cd6-ab3a-b4590d13767f
名前 / ファイル | ライセンス | アクション |
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arfe-v68p43-46.pdf (472.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-05-31 | |||||
タイトル | ||||||
タイトル | The 300th-and-Something Proof of the Pythagorean Theorem - A Combinatorial Equivalent - Dedicated to Professor H. Komiyama on the Occasion of His Retirement | |||||
その他のタイトル | ||||||
その他のタイトル | ピタゴラスの定理の三百何番目かの証明 - 組合せ論的なある同値命題 - 小宮山先生の退任に寄せて | |||||
著者 |
宮井, 秋男
× 宮井, 秋男 |
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著者別名 | ||||||
姓名 | MIYAI, Akio | |||||
著者(機関) | ||||||
岩手大学教育学部数学教育 | ||||||
Abstract | ||||||
内容記述タイプ | Other | |||||
内容記述 | More than 300 different proofs are known for the Pythagorean theorem. Inspired by E. Landau’s “unusual proof” for the theorem in trigonometric form, a proof based on the theory of power series is given. Also, a combinatorial equivalent with unexpected appearance is proposed for this most fundamental of all geometric theorems. | |||||
出版者 | ||||||
出版者 | 岩手大学教育学部 | |||||
登録日 | ||||||
日付 | 2009-05-31 | |||||
言語 | ||||||
言語 | eng | |||||
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 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
ID登録 | ||||||
ID登録 | 10.15113/00011349 | |||||
ID登録タイプ | JaLC | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00017940 | |||||
書誌情報 |
岩手大学教育学部研究年報 巻 68, p. 43-46, 発行日 2009-02-28 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0367-7370 |