"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

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    {
      "word": "Euclidean geometry"
    }
  ],
  "forms": [
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      "form": "non-Euclidean geometries",
      "tags": [
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  "lang_code": "en",
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          "name": "Non-Euclidean geometry",
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      "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."
      ],
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        "(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"
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      "translations": [
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          "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"
        },
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          "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"
}
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      "word": "Euclidean geometry"
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    {
      "word": "absolute geometry"
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      "word": "elliptic geometry"
    },
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      "word": "hyperbolic geometry"
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      "word": "parallel postulate"
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        "geometry",
        "mathematics",
        "sciences"
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        "non-Euclidean geometry"
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      "word": "noneuclidean geometry US"
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  "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"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

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