Publication Information

{'id': 'https://openalex.org/W1542120230', 'doi': None, 'title': 'Roads to geometry', 'display_name': 'Roads to geometry', 'publication_year': 1991, 'publication_date': '1991-09-01', 'ids': {'openalex': 'https://openalex.org/W1542120230', 'mag': '1542120230'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://openlibrary.org/books/OL3685870M/Roads_to_geometry', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'book', 'indexed_in': [], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5072599829', 'display_name': 'Edward C. Wallace', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Edward C. Wallace', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5044608376', 'display_name': 'Stephen F. West', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Stephen F. West', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], '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': False, 'cited_by_count': 17, 'citation_normalized_percentile': {'value': 0.609091, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 83, 'max': 84}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9875, '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': 0.9875, '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/T13267', 'display_name': 'Advanced Theoretical and Applied Studies in Material Sciences and Geometry', 'score': 0.9353, 'subfield': {'id': 'https://openalex.org/subfields/2204', 'display_name': 'Biomedical Engineering'}, '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/foundations-of-geometry', 'display_name': 'Foundations of geometry', 'score': 0.90593743}, {'id': 'https://openalex.org/keywords/ordered-geometry', 'display_name': 'Ordered geometry', 'score': 0.82439864}, {'id': 'https://openalex.org/keywords/absolute-geometry', 'display_name': 'Absolute geometry', 'score': 0.81670094}, {'id': 'https://openalex.org/keywords/non-euclidean-geometry', 'display_name': 'Non-Euclidean geometry', 'score': 0.8005936}, {'id': 'https://openalex.org/keywords/convex-geometry', 'display_name': 'Convex geometry', 'score': 0.5495469}, {'id': 'https://openalex.org/keywords/synthetic-geometry', 'display_name': 'Synthetic geometry', 'score': 0.51973915}, {'id': 'https://openalex.org/keywords/analytic-geometry', 'display_name': 'Analytic geometry', 'score': 0.45301157}, {'id': 'https://openalex.org/keywords/affine-geometry', 'display_name': 'Affine geometry', 'score': 0.43637997}], 'concepts': [{'id': 'https://openalex.org/C180110497', 'wikidata': 'https://www.wikidata.org/wiki/Q5474574', 'display_name': 'Foundations of geometry', 'level': 4, 'score': 0.90593743}, {'id': 'https://openalex.org/C105653879', 'wikidata': 'https://www.wikidata.org/wiki/Q7100712', 'display_name': 'Ordered geometry', 'level': 5, 'score': 0.82439864}, {'id': 'https://openalex.org/C115094139', 'wikidata': 'https://www.wikidata.org/wiki/Q332430', 'display_name': 'Absolute geometry', 'level': 5, 'score': 0.81670094}, {'id': 'https://openalex.org/C10784197', 'wikidata': 'https://www.wikidata.org/wiki/Q233858', 'display_name': 'Non-Euclidean geometry', 'level': 3, 'score': 0.8005936}, {'id': 'https://openalex.org/C185362025', 'wikidata': 'https://www.wikidata.org/wiki/Q177409', 'display_name': 'Projective geometry', 'level': 3, 'score': 0.7594147}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.7250665}, {'id': 'https://openalex.org/C129782007', 'wikidata': 'https://www.wikidata.org/wiki/Q162886', 'display_name': 'Euclidean geometry', 'level': 2, 'score': 0.71342695}, {'id': 'https://openalex.org/C206352148', 'wikidata': 'https://www.wikidata.org/wiki/Q209306', 'display_name': 'Hyperbolic geometry', 'level': 3, 'score': 0.68775326}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.65493566}, {'id': 'https://openalex.org/C110202963', 'wikidata': 'https://www.wikidata.org/wiki/Q1783542', 'display_name': 'Convex geometry', 'level': 5, 'score': 0.5495469}, {'id': 'https://openalex.org/C133347240', 'wikidata': 'https://www.wikidata.org/wiki/Q249148', 'display_name': 'Synthetic geometry', 'level': 4, 'score': 0.51973915}, {'id': 'https://openalex.org/C46175816', 'wikidata': 'https://www.wikidata.org/wiki/Q134787', 'display_name': 'Analytic geometry', 'level': 2, 'score': 0.45301157}, {'id': 'https://openalex.org/C23684344', 'wikidata': 'https://www.wikidata.org/wiki/Q382520', 'display_name': 'Affine geometry', 'level': 4, 'score': 0.43637997}, {'id': 'https://openalex.org/C68363185', 'wikidata': 'https://www.wikidata.org/wiki/Q180969', 'display_name': 'Algebraic geometry', 'level': 2, 'score': 0.4152443}, {'id': 'https://openalex.org/C173110770', 'wikidata': 'https://www.wikidata.org/wiki/Q382698', 'display_name': 'Affine space', 'level': 3, 'score': 0.4052283}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.15438884}, {'id': 'https://openalex.org/C92757383', 'wikidata': 'https://www.wikidata.org/wiki/Q382497', 'display_name': 'Affine transformation', 'level': 2, 'score': 0.10461551}, {'id': 'https://openalex.org/C49870271', 'wikidata': 'https://www.wikidata.org/wiki/Q193657', 'display_name': 'Convex set', 'level': 4, 'score': 0.0}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C12108790', 'wikidata': 'https://www.wikidata.org/wiki/Q2234833', 'display_name': 'Convex analysis', 'level': 4, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://openlibrary.org/books/OL3685870M/Roads_to_geometry', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W846490855', 'https://openalex.org/W805371022', 'https://openalex.org/W3112363379', 'https://openalex.org/W3033524673', 'https://openalex.org/W2973883076', 'https://openalex.org/W2941257424', 'https://openalex.org/W2501171837', 'https://openalex.org/W2297217060', 'https://openalex.org/W2161914470', 'https://openalex.org/W2101247307', 'https://openalex.org/W2084749141', 'https://openalex.org/W2026745357', 'https://openalex.org/W1907204227', 'https://openalex.org/W1902339461', 'https://openalex.org/W1641937208', 'https://openalex.org/W1586212627', 'https://openalex.org/W1564984840', 'https://openalex.org/W1548536193', 'https://openalex.org/W1505064872', 'https://openalex.org/W149040805'], 'abstract_inverted_index': {'1.': [0], 'Rules': [1], 'of': [2, 66, 84, 149, 202, 247], 'the': [3, 85, 181], 'Road': [4], '(Axiomatic': [5], 'Systems).': [6], 'Historical': [7], 'Background:': [8], 'Axiomatic': [9], 'Systems': [10], 'and': [11, 28, 91, 95, 122, 211], 'their': [12], 'Properties.': [13], 'Finite': [14], 'Geometries.': [15, 36, 53], 'Axioms': [16, 218], 'for': [17, 39, 44, 49, 73, 167, 219, 227, 236, 244], 'Incidence': [18], 'Geometry.': [19, 41, 46, 51, 127, 129, 162, 169, 192, 222, 230, 238, 249], '2.': [20], 'Many': [21], 'Ways': [22, 136], 'to': [23, 33, 80, 137, 144], 'Go.': [24], 'Introduction.': [25, 59, 87, 125, 141, 193], "Euclid's": [26, 29, 209], 'Geometry': [27, 83, 175, 179], 'Elements.': [30], 'An': [31], 'Introduction': [32], 'Modern': [34], 'Euclidean': [35, 40, 45, 50, 98, 103, 108, 115, 220, 228, 237], "Hilbert's": [37, 217], 'Model': [38, 43, 166, 246], "Birkhoff's": [42, 225], 'SMSG': [47, 234], 'Postulates': [48, 212, 226, 235], 'Non-Euclidean': [52], '3.': [54], 'Traveling': [55], 'Together': [56], '(Neutral': [57], 'Geometry).': [58, 124], 'Preliminary': [60], 'Notions.': [61], 'Congruence': [62, 94], 'Conditions.': [63], 'The': [64, 68, 71, 88, 112, 147, 151, 194, 200, 233], 'Place': [65], 'Parallels.': [67], 'Saccheri-Legendre': [69], 'Theorem.': [70], 'Search': [72], 'a': [74], 'Rectangle.': [75], 'Summary.': [76, 117, 133, 184, 206], '4.': [77], 'One': [78], 'Way': [79], 'Go': [81, 138], '(Euclidean': [82], 'Plane).': [86], 'Parallel': [89, 153], 'Postulate': [90], 'Some': [92, 102], 'Implications.': [93], 'Area.': [96], 'Similarity.': [97], 'Results': [99, 104, 109, 156], 'Concerning': [100, 105, 110, 157], 'Circles.': [101], 'Triangles.': [106, 111], 'More': [107], 'Nine-Point': [113], 'Circle.': [114], 'Constructions.': [116], '5.': [118], 'Side': [119], 'Trips': [120], '(Analytic': [121], 'Transformational': [123, 128], 'Analytic': [126, 130], 'Transformations.': [131, 205], 'Inversion.': [132], '6.': [134], 'Other': [135], '(Non-Euclidean': [139], 'Geometries).': [140], 'A': [142, 165, 174], 'Return': [143], 'Neutral': [145], 'Geometry:': [146, 173], 'Angle': [148], 'Parallelism.': [150], 'Hyperbolic': [152, 155, 161, 168, 248], 'Postulate.': [154], 'Polygons.': [158], 'Area': [159], 'in': [160, 180], 'Showing': [163], 'Consistency:': [164], 'Classifying': [170], 'Theorems.': [171], 'Elliptic': [172], 'With': [176], 'No': [177], 'Parallels?': [178], 'Real': [182, 195], 'World.': [183], '7.': [185], 'All': [186], 'Roads': [187], 'Lead': [188], 'To': [189], '...': [190], 'Projective': [191, 196, 204], 'Plane.': [197], 'Duality.': [198], 'Perspectivity.': [199], 'Theorem': [201], 'Desargues.': [203], 'Appendix': [207, 215, 223, 231, 239], 'A.': [208], 'Definitions': [210], 'Book': [213], 'I.': [214], 'B.': [216], 'Plane': [221, 229], 'C.': [224], 'D.': [232], 'E.': [240], "Geometer's": [241], 'SketchPad...': [242], 'Scripts': [243], 'Poincare': [245], 'Bibliography.': [250], 'Index.': [251]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1542120230', 'counts_by_year': [{'year': 2018, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-12-14T18:52:27.022606', 'created_date': '2016-06-24'}