"non-Euclidean geometry" meaning in English

See non-Euclidean geometry in All languages combined, or Wiktionary

Noun

Forms: non-Euclidean geometries [plural]
Head templates: {{en-noun}} non-Euclidean geometry (plural non-Euclidean geometries)
  1. (geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience. Wikipedia link: non-Euclidean geometry Categories (topical): Geometry Synonyms: noneuclidean geometry US Related terms: absolute geometry, elliptic geometry, hyperbolic geometry, parallel postulate Translations (Any system of geometry not based on the set of axioms of Euclidean geometry): qeyri-Evklid həndəsəsi (Azerbaijani), евклидтыҡы булмаған геометрия (yevklidtıqı bulmağan geometriya) (Bashkir), neeuklidovská geometrie [feminine] (Czech), epäeuklidinen geometria (Finnish), géométrie non euclidienne [feminine] (French), არაევკლიდური გეომეტრია (araevḳliduri geomeṭria) (Georgian), nichteuklidische Geometrie [feminine] (German), nemeuklideszi geometria (Hungarian), óevklíðsk rúmfræði [feminine] (Icelandic), geometri non-Euklides (Indonesian), geometria non euclidea [feminine] (Italian), metageometria [feminine] (Italian), 非ユークリッド幾何学 (hi-Yūkuriddo kikagaku) (alt: ひユークリッドきかがく) (Japanese), евклидтық емес геометрия (evklidtyq emes geometriä) (Kazakh), 비유클리드 기하학 (biyukeullideu gihahak) (Korean), неевклидова геометрија (neevklidova geometrija) [feminine] (Macedonian), هندسه نااقلیدسی (Persian), geometria nieeuklidesowa [feminine] (Polish), geometria não-euclidiana [feminine] (Portuguese), geometrie neeuclidiană [feminine] (Romanian), неевкли́дова геоме́трия (nejevklídova geométrija) [feminine] (Russian), neeuklidska geometrija [feminine] (Serbo-Croatian)

Inflected forms

Download JSON data for non-Euclidean geometry meaning in English (6.4kB)

{
  "antonyms": [
    {
      "word": "Euclidean geometry"
    }
  ],
  "forms": [
    {
      "form": "non-Euclidean geometries",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "non-Euclidean geometry (plural non-Euclidean geometries)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Non-Euclidean geometry",
          "orig": "en:Non-Euclidean geometry",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience."
      ],
      "id": "en-non-Euclidean_geometry-en-noun-ZrPllOhD",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "axiom",
          "axiom"
        ],
        [
          "Euclidean geometry",
          "Euclidean geometry"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "space",
          "space"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience."
      ],
      "related": [
        {
          "word": "absolute geometry"
        },
        {
          "word": "elliptic geometry"
        },
        {
          "word": "hyperbolic geometry"
        },
        {
          "word": "parallel postulate"
        }
      ],
      "synonyms": [
        {
          "word": "noneuclidean geometry US"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "az",
          "lang": "Azerbaijani",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "qeyri-Evklid həndəsəsi"
        },
        {
          "code": "ba",
          "lang": "Bashkir",
          "roman": "yevklidtıqı bulmağan geometriya",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "евклидтыҡы булмаған геометрия"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "neeuklidovská geometrie"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "epäeuklidinen geometria"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "géométrie non euclidienne"
        },
        {
          "code": "ka",
          "lang": "Georgian",
          "roman": "araevḳliduri geomeṭria",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "არაევკლიდური გეომეტრია"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "nichteuklidische Geometrie"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "nemeuklideszi geometria"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "óevklíðsk rúmfræði"
        },
        {
          "code": "id",
          "lang": "Indonesian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "geometri non-Euklides"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "geometria non euclidea"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "metageometria"
        },
        {
          "alt": "ひユークリッドきかがく",
          "code": "ja",
          "lang": "Japanese",
          "roman": "hi-Yūkuriddo kikagaku",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "非ユークリッド幾何学"
        },
        {
          "code": "kk",
          "lang": "Kazakh",
          "roman": "evklidtyq emes geometriä",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "евклидтық емес геометрия"
        },
        {
          "code": "ko",
          "lang": "Korean",
          "roman": "biyukeullideu gihahak",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "비유클리드 기하학"
        },
        {
          "code": "mk",
          "lang": "Macedonian",
          "roman": "neevklidova geometrija",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "неевклидова геометрија"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "word": "هندسه نااقلیدسی"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "geometria nieeuklidesowa"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "geometria não-euclidiana"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "geometrie neeuclidiană"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "nejevklídova geométrija",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "неевкли́дова геоме́трия"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
          "tags": [
            "feminine"
          ],
          "word": "neeuklidska geometrija"
        }
      ],
      "wikipedia": [
        "non-Euclidean geometry"
      ]
    }
  ],
  "word": "non-Euclidean geometry"
}
{
  "antonyms": [
    {
      "word": "Euclidean geometry"
    }
  ],
  "forms": [
    {
      "form": "non-Euclidean geometries",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "non-Euclidean geometry (plural non-Euclidean geometries)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "absolute geometry"
    },
    {
      "word": "elliptic geometry"
    },
    {
      "word": "hyperbolic geometry"
    },
    {
      "word": "parallel postulate"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English entries with topic categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Geometry",
        "en:Non-Euclidean geometry"
      ],
      "glosses": [
        "Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "axiom",
          "axiom"
        ],
        [
          "Euclidean geometry",
          "Euclidean geometry"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "space",
          "space"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any system of geometry not based on the set of axioms of Euclidean geometry, which is based on the three-dimensional space of common experience."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "non-Euclidean geometry"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "noneuclidean geometry US"
    }
  ],
  "translations": [
    {
      "code": "az",
      "lang": "Azerbaijani",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "qeyri-Evklid həndəsəsi"
    },
    {
      "code": "ba",
      "lang": "Bashkir",
      "roman": "yevklidtıqı bulmağan geometriya",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "евклидтыҡы булмаған геометрия"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "neeuklidovská geometrie"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "epäeuklidinen geometria"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "géométrie non euclidienne"
    },
    {
      "code": "ka",
      "lang": "Georgian",
      "roman": "araevḳliduri geomeṭria",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "არაევკლიდური გეომეტრია"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "nichteuklidische Geometrie"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "nemeuklideszi geometria"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "óevklíðsk rúmfræði"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "geometri non-Euklides"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "geometria non euclidea"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "metageometria"
    },
    {
      "alt": "ひユークリッドきかがく",
      "code": "ja",
      "lang": "Japanese",
      "roman": "hi-Yūkuriddo kikagaku",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "非ユークリッド幾何学"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "evklidtyq emes geometriä",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "евклидтық емес геометрия"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "biyukeullideu gihahak",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "비유클리드 기하학"
    },
    {
      "code": "mk",
      "lang": "Macedonian",
      "roman": "neevklidova geometrija",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "неевклидова геометрија"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "word": "هندسه نااقلیدسی"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "geometria nieeuklidesowa"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "geometria não-euclidiana"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "geometrie neeuclidiană"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "nejevklídova geométrija",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "неевкли́дова геоме́трия"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Any system of geometry not based on the set of axioms of Euclidean geometry",
      "tags": [
        "feminine"
      ],
      "word": "neeuklidska geometrija"
    }
  ],
  "word": "non-Euclidean geometry"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.