"projective geometry" meaning in English

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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "English entries with incorrect language header",
          "parents": [
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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      ],
      "glosses": [
        "The branch of mathematics that investigates those properties of figures that are invariant under homographies, special kinds of spaces called projective spaces, and the geometric structures that inhabit them."
      ],
      "id": "en-projective_geometry-en-noun-gWaxhmkX",
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          "mathematics",
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        [
          "properties",
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          "figure",
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        ],
        [
          "invariant",
          "invariant"
        ],
        [
          "homographies",
          "homography"
        ],
        [
          "space",
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        ],
        [
          "projective space",
          "projective space"
        ],
        [
          "structure",
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      ],
      "raw_glosses": [
        "(mathematics) The branch of mathematics that investigates those properties of figures that are invariant under homographies, special kinds of spaces called projective spaces, and the geometric structures that inhabit them."
      ],
      "related": [
        {
          "word": "algebraic geometry"
        },
        {
          "word": "analytic geometry"
        },
        {
          "word": "differential geometry"
        },
        {
          "word": "projective plane"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "branch of mathematics",
          "word": "projektiivinen geometria"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "géométrie projective"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "geometria proiettiva"
        },
        {
          "alt": "しゃえいきかがく",
          "code": "ja",
          "lang": "Japanese",
          "roman": "shaei kikagaku",
          "sense": "branch of mathematics",
          "word": "射影幾何学"
        },
        {
          "code": "mk",
          "lang": "Macedonian",
          "roman": "proektívna geométrija",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "проекти́вна геоме́трија"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "geometria rzutowa"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "projektívnaja geométrija",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "проекти́вная геоме́трия"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "branch of mathematics",
          "tags": [
            "feminine"
          ],
          "word": "projektivna geometrija"
        }
      ],
      "wikipedia": [
        "projective geometry"
      ]
    }
  ],
  "word": "projective geometry"
}

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      "expansion": "projective geometry (uncountable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "algebraic geometry"
    },
    {
      "word": "analytic geometry"
    },
    {
      "word": "differential geometry"
    },
    {
      "word": "projective plane"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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      ],
      "glosses": [
        "The branch of mathematics that investigates those properties of figures that are invariant under homographies, special kinds of spaces called projective spaces, and the geometric structures that inhabit them."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "properties",
          "properties"
        ],
        [
          "figure",
          "figure"
        ],
        [
          "invariant",
          "invariant"
        ],
        [
          "homographies",
          "homography"
        ],
        [
          "space",
          "space"
        ],
        [
          "projective space",
          "projective space"
        ],
        [
          "structure",
          "structure"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The branch of mathematics that investigates those properties of figures that are invariant under homographies, special kinds of spaces called projective spaces, and the geometric structures that inhabit them."
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
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      "wikipedia": [
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  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "branch of mathematics",
      "word": "projektiivinen geometria"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "géométrie projective"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "geometria proiettiva"
    },
    {
      "alt": "しゃえいきかがく",
      "code": "ja",
      "lang": "Japanese",
      "roman": "shaei kikagaku",
      "sense": "branch of mathematics",
      "word": "射影幾何学"
    },
    {
      "code": "mk",
      "lang": "Macedonian",
      "roman": "proektívna geométrija",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "проекти́вна геоме́трија"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "geometria rzutowa"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "projektívnaja geométrija",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "проекти́вная геоме́трия"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "branch of mathematics",
      "tags": [
        "feminine"
      ],
      "word": "projektivna geometrija"
    }
  ],
  "word": "projective geometry"
}