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Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve
https://oist.repo.nii.ac.jp/records/2086
https://oist.repo.nii.ac.jp/records/20869f99fe65-9bb8-47b8-90cc-b4308a3fd9cd
名前 / ファイル | ライセンス | アクション |
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rspa.2020.0617 (684.0 kB)
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Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2021-05-17 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | ruled surface | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | rectifying developable | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | tangent developable | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | geodesic curvature | |||||
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 | journal article | |||||
著者(英) |
Seguin, Brian
× Seguin, Brian× Chen, Yi-chao× Fried, Eliot |
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書誌情報 |
en : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 巻 477, 号 2246, p. 20200617, 発行日 2021-02-10 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | There are two familiar constructions of a developable surface from a space curve. The tangent developable is a ruled surface for which the rulings are tangent to the curve at each point and relative to this surface the absolute value of the geodesic curvature κg of the curve equals the curvature κ. The alternative construction is the rectifying developable. The geodesic curvature of the curve relative to any such surface vanishes. We show that there is a family of developable surfaces that can be generated from a curve, one surface for each function k that is defined on the curve and satisfies |k| ≤ κ, and that the geodesic curvature of the curve relative to each such constructed surface satisfies κg = k. | |||||
出版者 | ||||||
出版者 | The Royal Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1364-5021 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1471-2946 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1098/rspa.2020.0617 | |||||
権利 | ||||||
権利情報 | © 2021 The Author(s). | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://royalsocietypublishing.org/doi/full/10.1098/rspa.2020.0617 | |||||
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 |