"homogeneous coordinate" meaning in English

See homogeneous coordinate in All languages combined, or Wiktionary

Noun

Forms: homogeneous coordinates [plural]
Head templates: {{en-noun}} homogeneous coordinate (plural homogeneous coordinates)
  1. (geometry) Any one of a set of n + 1 coordinates which non-uniquely identify a point in an n-dimensional projective space; when such coordinates are all multiplied by the same scalar, then the set of them still identifies the same point. Wikipedia link: Homogeneous coordinates Categories (topical): Geometry

Inflected forms

Download JSON data for homogeneous coordinate meaning in English (2.0kB)

{
  "forms": [
    {
      "form": "homogeneous coordinates",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homogeneous coordinate (plural homogeneous coordinates)",
      "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 terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with homo-",
          "parents": [],
          "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"
        }
      ],
      "glosses": [
        "Any one of a set of n + 1 coordinates which non-uniquely identify a point in an n-dimensional projective space; when such coordinates are all multiplied by the same scalar, then the set of them still identifies the same point."
      ],
      "id": "en-homogeneous_coordinate-en-noun-~hFLOy5C",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "coordinates",
          "coordinates"
        ],
        [
          "projective space",
          "projective space"
        ],
        [
          "scalar",
          "scalar"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any one of a set of n + 1 coordinates which non-uniquely identify a point in an n-dimensional projective space; when such coordinates are all multiplied by the same scalar, then the set of them still identifies the same point."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homogeneous coordinates"
      ]
    }
  ],
  "word": "homogeneous coordinate"
}
{
  "forms": [
    {
      "form": "homogeneous coordinates",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homogeneous coordinate (plural homogeneous coordinates)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms prefixed with co-",
        "English terms prefixed with homo-",
        "English terms with non-redundant non-automated sortkeys",
        "en:Geometry"
      ],
      "glosses": [
        "Any one of a set of n + 1 coordinates which non-uniquely identify a point in an n-dimensional projective space; when such coordinates are all multiplied by the same scalar, then the set of them still identifies the same point."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "coordinates",
          "coordinates"
        ],
        [
          "projective space",
          "projective space"
        ],
        [
          "scalar",
          "scalar"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any one of a set of n + 1 coordinates which non-uniquely identify a point in an n-dimensional projective space; when such coordinates are all multiplied by the same scalar, then the set of them still identifies the same point."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homogeneous coordinates"
      ]
    }
  ],
  "word": "homogeneous coordinate"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-09 from the enwiktionary dump dated 2024-05-02 using wiktextract (4d5d0bb and edd475d). 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.