{"created":"2023-06-20T14:35:01.724186+00:00","id":465,"links":{},"metadata":{"_buckets":{"deposit":"8245b6f2-e49d-4879-b4f4-94ac07b6aa11"},"_deposit":{"created_by":15,"id":"465","owners":[15],"pid":{"revision_id":0,"type":"depid","value":"465"},"status":"published"},"_oai":{"id":"oai:kjunshin.repo.nii.ac.jp:00000465","sets":["9:92"]},"author_link":["16"],"item_10002_alternative_title_1":{"attribute_name":"その他（別言語等）のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"非ユークリッド幾何学の半球面モデル"}]},"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-03-31","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"25","bibliographicPageEnd":"70, 113","bibliographicPageStart":"49","bibliographic_titles":[{"bibliographic_title":"国際人間学部紀要"},{"bibliographic_title":"International Human Studies","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"十七世紀、デザルグが透視図法に想を得て「平行な二直線はそれぞれの直線の双方向の無限遠に位置するある理念的な点で交わる」という公理を要請した時、幾何学は古代ギリシャにおける創始者たちが敢えて回避してきた「無限」という問題圏へと開かれた。その二世紀後、三人の同時代人、ボヤイ、ロバチェフスキー、ガウスはそれぞれ独立に、実在する空間の規定と思念されてきたユークリッド幾何学における「平行線公理」―「与えれた直線と平行で(すなわち無限遠点で交わる)その直線上にない一点を通る直線は、ただ一つだけ存在す\nる」という命題を否定しても、ユークリッド幾何学と同様の合同変換に基づく、無矛盾な体系が構築されることを発見した。本論は「与えれた直線と平行でその直線上にない一点を通る直線が、複数存在する」ような、所謂「双曲幾何学」的「平面」の存在を半球面モデルとして可視化すると共に、「三角形の内角の和は二直角より小さい」など、この「平面」の主要な性質を半球面モデルの定義から導出することを目的とする。\n","subitem_description_type":"Abstract"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島純心女子大学国際人間学部"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA12012192","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1880-1978","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"久木田, 英史","creatorNameLang":"ja"},{"creatorName":"クキタ, エイシ","creatorNameLang":"ja-Kana"}],"familyNames":[{"familyName":"久木田","familyNameLang":"ja"},{"familyName":"クキタ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"英史","givenNameLang":"ja"},{"givenName":"エイシ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"16","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"9000006944859","nameIdentifierScheme":"CiNii ID","nameIdentifierURI":"http://ci.nii.ac.jp/nrid/9000006944859"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-08-04"}],"displaytype":"detail","filename":"Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique.pdf","filesize":[{"value":"16.9 MB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique","url":"https://kjunshin.repo.nii.ac.jp/record/465/files/Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique.pdf"},"version_id":"acffa30f-0032-458b-a54f-c5b3ce33138e"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"射影幾何学","subitem_subject_scheme":"Other"},{"subitem_subject":"非ユークリッド幾何学","subitem_subject_scheme":"Other"},{"subitem_subject":"平行線公理","subitem_subject_scheme":"Other"},{"subitem_subject":"モデル","subitem_subject_scheme":"Other"},{"subitem_subject":"数学史","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"fra"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique"}]},"item_type_id":"10002","owner":"15","path":["92"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-08-04"},"publish_date":"2020-08-04","publish_status":"0","recid":"465","relation_version_is_last":true,"title":["Représentation de la Géométrie non-euclidienne par un Modèle hé misphérique"],"weko_creator_id":"15","weko_shared_id":-1},"updated":"2023-10-19T09:13:57.573001+00:00"}