{"id":"https://openalex.org/W4396808339","doi":"https://doi.org/10.36347/sjpms.2024.v11i05.001","title":"Circling the Square with Straightedge & Compass in Euclidean Geometry","display_name":"Circling the Square with Straightedge & Compass in Euclidean Geometry","publication_year":2024,"publication_date":"2024-05-02","ids":{"openalex":"https://openalex.org/W4396808339","doi":"https://doi.org/10.36347/sjpms.2024.v11i05.001"},"language":"en","primary_location":{"id":"doi:10.36347/sjpms.2024.v11i05.001","doi":"https://doi.org/10.36347/sjpms.2024.v11i05.001","is_oa":true,"landing_page_url":"http://doi.org/10.36347/sjpms.2024.v11i05.001","pdf_url":"https://doi.org/10.36347/sjpms.2024.v11i05.001","source":{"id":"https://openalex.org/S4210194730","display_name":"Scholars Journal of Physics Mathematics and Statistics","issn_l":"2393-8056","issn":["2393-8056","2393-8064"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scholars Journal of Physics, Mathematics and Statistics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.36347/sjpms.2024.v11i05.001","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102561501","display_name":"Tran Dinh Son","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I3129949034","display_name":"Lewisham Southwark College","ror":"https://ror.org/025fme611","country_code":"GB","type":"education","lineage":["https://openalex.org/I3129949034"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Tran Dinh Son","raw_affiliation_strings":["Lewisham College, Lewisham Way, London SE4 1UT, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lewisham College, Lewisham Way, London SE4 1UT, United Kingdom","institution_ids":["https://openalex.org/I3129949034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102561501"],"corresponding_institution_ids":["https://openalex.org/I3129949034"],"apc_list":null,"apc_paid":null,"fwci":5.1017,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.96550678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"11","issue":"05","first_page":"54","last_page":"64"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9883000254631042,"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":0.9883000254631042,"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/T12170","display_name":"History and Theory of Mathematics","score":0.00989999994635582,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.00019999999494757503,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/squaring-the-circle","display_name":"squaring the circle","score":0.9890000224113464},{"id":"https://openalex.org/keywords/straightedge-and-compass-constructions","display_name":"compass and straightedge construction","score":0.8539999723434448},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.9409999847412109},{"id":"https://openalex.org/keywords/angle-trisection","display_name":"angle trisection","score":0.8040000200271606},{"id":"https://openalex.org/keywords/doubling-the-cube","display_name":"doubling the cube","score":0.9729999899864197},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.38499999046325684}],"concepts":[{"id":"https://openalex.org/C2778361833","wikidata":"https://www.wikidata.org/wiki/Q34735","display_name":"Compass","level":2,"score":0.8479611873626709},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.67857825756073},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6295059323310852},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5374736189842224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4697485566139221},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26611772179603577},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04513850808143616}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.36347/sjpms.2024.v11i05.001","doi":"https://doi.org/10.36347/sjpms.2024.v11i05.001","is_oa":true,"landing_page_url":"http://doi.org/10.36347/sjpms.2024.v11i05.001","pdf_url":"https://doi.org/10.36347/sjpms.2024.v11i05.001","source":{"id":"https://openalex.org/S4210194730","display_name":"Scholars Journal of Physics Mathematics and Statistics","issn_l":"2393-8056","issn":["2393-8056","2393-8064"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scholars Journal of Physics, Mathematics and Statistics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.36347/sjpms.2024.v11i05.001","doi":"https://doi.org/10.36347/sjpms.2024.v11i05.001","is_oa":true,"landing_page_url":"http://doi.org/10.36347/sjpms.2024.v11i05.001","pdf_url":"https://doi.org/10.36347/sjpms.2024.v11i05.001","source":{"id":"https://openalex.org/S4210194730","display_name":"Scholars Journal of Physics Mathematics and Statistics","issn_l":"2393-8056","issn":["2393-8056","2393-8064"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Scholars Journal of Physics, Mathematics and Statistics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396808339.pdf","grobid_xml":"https://content.openalex.org/works/W4396808339.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W97412212","https://openalex.org/W135141464","https://openalex.org/W253921512","https://openalex.org/W1972629340","https://openalex.org/W1982110918","https://openalex.org/W1992077130","https://openalex.org/W2006895952","https://openalex.org/W2009563716","https://openalex.org/W2044837560","https://openalex.org/W2117615896","https://openalex.org/W2921819676","https://openalex.org/W4205271670","https://openalex.org/W4231050482","https://openalex.org/W4243409352","https://openalex.org/W4384301935","https://openalex.org/W4384302458","https://openalex.org/W4387175818"],"related_works":["https://openalex.org/W4391889139","https://openalex.org/W4404250596","https://openalex.org/W4384301935","https://openalex.org/W4411515908","https://openalex.org/W4402578038","https://openalex.org/W4408532601","https://openalex.org/W7201885875","https://openalex.org/W4412646827","https://openalex.org/W7171985932","https://openalex.org/W7135830910"],"abstract_inverted_index":{"There":[0],"are":[1,11,20],"three":[2],"classical":[3],"problems":[4],"remaining":[5],"from":[6,58,92],"ancient":[7,116,156],"Greek":[8,117,157],"mathematics":[9],"which":[10,40,138],"extremely":[12],"influential":[13],"in":[14,44,85,103,109,142],"the":[15,25,29,34,36,45,64,97,125,130,143,155,163],"development":[16],"of":[17,39,48,61,132,161],"Geometry.":[18,87],"They":[19],"Trisecting":[21],"an":[22,151],"Angle,":[23],"Squaring":[24,35],"Circle,":[26],"and":[27,51],"Doubling":[28],"Cube":[30],"problems.":[31],"I":[32,123,171],"solve":[33],"Circle":[37,98],"problem,":[38,137],"paper":[41],"is":[42,150,176],"published":[43,106],"International":[46],"Journal":[47],"Mathematics":[49,144],"Trends":[50],"Technology":[52],"(Volume":[53],"69,":[54],"June":[55,110],"2023).":[56],"Upstream":[57],"this":[59,115,121,134,175],"method":[60,127],"exact":[62,94],"\u201cSquaring":[63,96,162],"Circle\u201d,":[65,164],"we":[66],"can":[67],"deduce,":[68],"conversely/inversely,":[69],"to":[70,128],"get":[71],"a":[72,80,83,166,169],"new":[73,135],"Mathematical":[74],"challenge":[75,136,159],"\"CIRCLING":[76],"THE":[77],"SQUARE\"":[78],"with":[79],"straightedge":[81,167],"&":[82,101,168],"compass":[84,102],"Euclidean":[86,104],"This":[88],"study":[89],"idea":[90],"came":[91],"my":[93,177],"solution":[95,153],"by":[99,107],"Straightedge":[100],"Geometry\u201d,":[105],"IJMTT":[108],"2023":[111],"at":[112],"https://ijmttjournal.org/Volume-69/Issue-6/IJMTT-V69I6P506.pdf":[113],"for":[114],"Geometry":[118,158],"problem.":[119],"In":[120],"research,":[122],"adopt":[124],"ANALYSIS":[126],"prove":[129],"process":[131,149],"solving":[133,154],"has":[139],"not":[140],"existed":[141],"field":[145],"till":[146],"today.":[147],"The":[148],"inverse/converse":[152],"problem":[160],"using":[165],"compass.":[170],"hereby":[172],"commit":[173],"that":[174],"own":[178],"personal":[179],"research":[180],"project.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":4}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-05-11T00:00:00"}