Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2000618190', 'doi': 'https://doi.org/10.2307/2303682', 'title': 'Plane Trigonometry, Solid Geometry, and Spherical Trigonometry.', 'display_name': 'Plane Trigonometry, Solid Geometry, and Spherical Trigonometry.', 'publication_year': 1943, 'publication_date': '1943-08-01', 'ids': {'openalex': 'https://openalex.org/W2000618190', 'doi': 'https://doi.org/10.2307/2303682', 'mag': '2000618190'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/2303682', 'pdf_url': None, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://hdl.handle.net/2027/wu.89078198207', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5019939192', 'display_name': 'Beatrice L. Hagen', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Beatrice L. Hagen', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5033641427', 'display_name': 'Walter W. Hart', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'W. W. Hart', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5055520954', 'display_name': 'William Le Roy Hart', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'W. L. Hart', 'raw_affiliation_strings': [], 'affiliations': []}], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.49789, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 68, 'max': 76}, 'biblio': {'volume': '50', 'issue': '7', 'first_page': '450', 'last_page': '450'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12504', 'display_name': 'Foundations of Geometric Mathematics', 'score': 0.8366, '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': 'Foundations of Geometric Mathematics', 'score': 0.8366, '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/spherical-trigonometry', 'display_name': 'Spherical trigonometry', 'score': 0.9560453}, {'id': 'https://openalex.org/keywords/trigonometry', 'display_name': 'Trigonometry', 'score': 0.714345}, {'id': 'https://openalex.org/keywords/spherical-geometry', 'display_name': 'Spherical geometry', 'score': 0.66313887}, {'id': 'https://openalex.org/keywords/geometry', 'display_name': 'Geometry', 'score': 0.633864}, {'id': 'https://openalex.org/keywords/solid-geometry', 'display_name': 'Solid geometry', 'score': 0.55709994}], 'concepts': [{'id': 'https://openalex.org/C184551148', 'wikidata': 'https://www.wikidata.org/wiki/Q46463', 'display_name': 'Spherical trigonometry', 'level': 2, 'score': 0.9560453}, {'id': 'https://openalex.org/C29001434', 'wikidata': 'https://www.wikidata.org/wiki/Q8084', 'display_name': 'Trigonometry', 'level': 2, 'score': 0.8696444}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.7209212}, {'id': 'https://openalex.org/C77730005', 'wikidata': 'https://www.wikidata.org/wiki/Q326905', 'display_name': 'Spherical geometry', 'level': 2, 'score': 0.66313887}, {'id': 'https://openalex.org/C17825722', 'wikidata': 'https://www.wikidata.org/wiki/Q17285', 'display_name': 'Plane (geometry)', 'level': 2, 'score': 0.5671546}, {'id': 'https://openalex.org/C25653684', 'wikidata': 'https://www.wikidata.org/wiki/Q207648', 'display_name': 'Solid geometry', 'level': 2, 'score': 0.55709994}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.37197995}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3275137}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.2307/2303682', 'pdf_url': None, '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://hdl.handle.net/2027/wu.89078198207', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402431', 'display_name': 'Hathi Trust Digital Library (The HathiTrust Research Center)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': 'public-domain', 'license_id': 'https://openalex.org/licenses/public-domain', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://hdl.handle.net/2027/wu.89078198207', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402431', 'display_name': 'Hathi Trust Digital Library (The HathiTrust Research Center)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': None, 'host_organization_name': None, 'host_organization_lineage': [], 'host_organization_lineage_names': [], 'type': 'repository'}, 'license': 'public-domain', 'license_id': 'https://openalex.org/licenses/public-domain', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W578434869', 'https://openalex.org/W4241380465', 'https://openalex.org/W4236848336', 'https://openalex.org/W3150661828', 'https://openalex.org/W2334932879', 'https://openalex.org/W2066864643', 'https://openalex.org/W2066150164', 'https://openalex.org/W2000618190', 'https://openalex.org/W1970574376', 'https://openalex.org/W130327317'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2000618190', 'counts_by_year': [], 'updated_date': '2024-08-14T05:38:38.107156', 'created_date': '2016-06-24'}