{"created":"2025-02-21T03:19:04.148835+00:00","id":2006363,"links":{},"metadata":{"_buckets":{"deposit":"0631c932-9920-45ac-b95e-e4c28d418eb6"},"_deposit":{"created_by":41,"id":"2006363","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006363"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006363","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Degree of triangle centers and a generalization of the Euler line","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Agaoka Yoshio","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2010 Heldermann Verlag "},{"subitem_rights":"This is a post-peer-review, pre-copyedit version of an article published in Beiträge zur Algebra und Geometrie. The final authenticated version is available online at: http://eudml.org/doc/223783"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"triangle center","subitem_subject_scheme":"Other"},{"subitem_subject":"degree of triangle center","subitem_subject_scheme":"Other"},{"subitem_subject":"Euler line","subitem_subject_scheme":"Other"},{"subitem_subject":"Nagel line","subitem_subject_scheme":"Other"},{"subitem_subject":"Ceva conjugate","subitem_subject_scheme":"Other"},{"subitem_subject":"isotomic conjugate","subitem_subject_scheme":"Other"},{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"We introduce a concept “degree of triangle centers\", and give a formula expressing the degree of triangle centers on generalized Euler lines. This generalizes the well known 2 : 1 point configuration on the Euler line. We also introduce a natural family of triangle centers based on the Ceva conjugate and the isotomic conjugate. This family contains many famous triangle centers, and we conjecture that the degree of triangle centers in this family always takes the form (-2)k for some k ∈ Z.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Verlag"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0138-4821","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"2191-0383","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00558880","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"63"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"89","bibliographicPageStart":"63","bibliographicVolumeNumber":"51","bibliographic_titles":[{"bibliographic_title":"Beiträge zur Algebra und Geometrie"},{"bibliographic_title":"Contributions to Algebra and Geometryrie"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://eudml.org/doc/223783","subitem_relation_type_select":"URI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"agaoka_DegreeofTriangleCenters.pdf","filesize":[{"value":"277.5 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006363/files/agaoka_DegreeofTriangleCenters.pdf"},"version_id":"8a45ee7a-f99e-4099-839c-b678e86f31c7"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"25256"},"item_title":"Degree of triangle centers and a generalization of the Euler line","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2006363","relation_version_is_last":true,"title":["Degree of triangle centers and a generalization of the Euler line"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T07:26:14.655204+00:00"}