{"id":"https://openalex.org/W3017589901","doi":"https://doi.org/10.1080/00029890.2020.1721405","title":"A Generalization of the Steiner Inellipse","display_name":"A Generalization of the Steiner Inellipse","publication_year":2020,"publication_date":"2020-04-23","ids":{"openalex":"https://openalex.org/W3017589901","doi":"https://doi.org/10.1080/00029890.2020.1721405","mag":"3017589901"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1721405","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1721405","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/A5045051187","display_name":"Alexandru Tupan","orcid":null},"institutions":[{"id":"https://openalex.org/I14403649","display_name":"University of Wisconsin\u2013River Falls","ror":"https://ror.org/02ep9vf55","country_code":"US","type":"education","lineage":["https://openalex.org/I14403649"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexandru Tupan","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin River Falls, River Falls, WI 54022, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin River Falls, River Falls, WI 54022, USA","institution_ids":["https://openalex.org/I14403649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5045051187"],"corresponding_institution_ids":["https://openalex.org/I14403649"],"apc_list":null,"apc_paid":null,"fwci":0.3852,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55286944,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"127","issue":"5","first_page":"428","last_page":"436"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9987000226974487,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9850000143051147,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.8194030523300171},{"id":"https://openalex.org/keywords/equidistant","display_name":"Equidistant","score":0.7645121812820435},{"id":"https://openalex.org/keywords/midpoint","display_name":"Midpoint","score":0.702520489692688},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6974366903305054},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.627673327922821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5327304601669312},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4485713541507721},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.41168612241744995},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1592370569705963}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.8194030523300171},{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.7645121812820435},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.702520489692688},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6974366903305054},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.627673327922821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5327304601669312},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4485713541507721},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.41168612241744995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1592370569705963}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2020.1721405","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1721405","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1997119007","https://openalex.org/W2020888625","https://openalex.org/W2398059328","https://openalex.org/W2398223863","https://openalex.org/W2398915987","https://openalex.org/W2883575793","https://openalex.org/W2895632790"],"related_works":["https://openalex.org/W2055230676","https://openalex.org/W2373708349","https://openalex.org/W2370379095","https://openalex.org/W2064284991","https://openalex.org/W2385837322","https://openalex.org/W4300566153","https://openalex.org/W2546071705","https://openalex.org/W2795378890","https://openalex.org/W2122029179","https://openalex.org/W2836992267"],"abstract_inverted_index":{"We":[0,19],"classify":[1],"the":[2,9,16],"conics":[3],"passing":[4],"through":[5],"six":[6],"points":[7],"on":[8],"sides":[10],"of":[11],"a":[12],"triangle":[13],"equidistant":[14],"from":[15,22],"corresponding":[17],"midpoints.":[18],"use":[20],"tools":[21],"synthetic":[23],"geometry":[24],"and":[25],"real":[26],"algebraic":[27],"geometry.":[28]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}