{"id":"https://openalex.org/W3112563632","doi":"https://doi.org/10.1080/00029890.2020.1820795","title":"On a New Property of the Steiner Inellipse","display_name":"On a New Property of the Steiner Inellipse","publication_year":2020,"publication_date":"2020-11-25","ids":{"openalex":"https://openalex.org/W3112563632","doi":"https://doi.org/10.1080/00029890.2020.1820795","mag":"3112563632"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1820795","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1820795","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009766538","display_name":"Anatoly Eydelzon","orcid":"https://orcid.org/0000-0002-8822-9277"},"institutions":[{"id":"https://openalex.org/I162577319","display_name":"The University of Texas at Dallas","ror":"https://ror.org/049emcs32","country_code":"US","type":"education","lineage":["https://openalex.org/I162577319"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anatoly Eydelzon","raw_affiliation_strings":["Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75082"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75082","institution_ids":["https://openalex.org/I162577319"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009766538"],"corresponding_institution_ids":["https://openalex.org/I162577319"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1494589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"127","issue":"10","first_page":"933","last_page":"935"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parallelogram","display_name":"Parallelogram","score":0.9410765171051025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7649262547492981},{"id":"https://openalex.org/keywords/isosceles-triangle","display_name":"Isosceles triangle","score":0.6540232300758362},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6050750613212585},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5233049392700195},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.500058650970459},{"id":"https://openalex.org/keywords/incircle-and-excircles-of-a-triangle","display_name":"Incircle and excircles of a triangle","score":0.42030400037765503},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3177189230918884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1911792755126953},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.049238502979278564}],"concepts":[{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.9410765171051025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7649262547492981},{"id":"https://openalex.org/C98653994","wikidata":"https://www.wikidata.org/wiki/Q875937","display_name":"Isosceles triangle","level":2,"score":0.6540232300758362},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6050750613212585},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5233049392700195},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.500058650970459},{"id":"https://openalex.org/C97787015","wikidata":"https://www.wikidata.org/wiki/Q10615255","display_name":"Incircle and excircles of a triangle","level":2,"score":0.42030400037765503},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3177189230918884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1911792755126953},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.049238502979278564},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2020.1820795","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1820795","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5699999928474426,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2398059328"],"related_works":["https://openalex.org/W2765562706","https://openalex.org/W53038356","https://openalex.org/W2391261957","https://openalex.org/W2978665772","https://openalex.org/W2414356478","https://openalex.org/W2624440837","https://openalex.org/W3103858986","https://openalex.org/W266827612","https://openalex.org/W2041121945","https://openalex.org/W4248596675"],"abstract_inverted_index":{"We":[0],"consider":[1],"an":[2],"old":[3],"problem":[4],"of":[5,22,39,47,56,65],"partitioning":[6],"a":[7,26],"triangle":[8,24,49],"into":[9],"three":[10,14],"similar":[11],"triangles":[12],"and":[13],"parallelograms":[15],"by":[16],"lines":[17],"parallel":[18],"to":[19,53],"the":[20,23,37,45,48,54,57,62,66],"sides":[21],"through":[25],"given":[27],"interior":[28],"point":[29],"M.":[30],"In":[31],"this":[32],"note,":[33],"we":[34],"show":[35],"that":[36],"locus":[38],"those":[40],"points":[41],"M":[42],"for":[43],"which":[44],"sum":[46,55],"areas":[50,59],"is":[51,60],"equal":[52],"parallelogram":[58],"precisely":[61],"Steiner":[63],"inellipse":[64],"triangle.":[67]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}