"Euler angle" meaning in English

See Euler angle in All languages combined, or Wiktionary

Noun

Forms: Euler angles [plural]
Etymology: Named after Swiss mathematician Leonhard Euler (1707–1783). Etymology templates: {{named-after/list|mathematician||||}} mathematician, {{!}} |, {{lang|en|Leonhard Euler}} Leonhard Euler, {{named-after|en|Leonhard Euler|born=1707|died=1783|nat=Swiss|occ=mathematician|wplink==}} Named after Swiss mathematician Leonhard Euler (1707–1783) Head templates: {{en-noun}} Euler angle (plural Euler angles)
  1. (geometry) Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler. Wikipedia link: Euler angles Categories (topical): Geometry Related terms: Tait-Bryan angle Translations (any one of three angles that describe orientation in a 3-d coordinate system): eulerscher Winkel [masculine] (German), Euler-Winkel [masculine] (German), angolo di Eulero [masculine] (Italian), unghi Euler [neuter] (Romanian)

Inflected forms

Alternative forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "mathematician",
        "2": "",
        "3": "",
        "4": "",
        "5": ""
      },
      "expansion": "mathematician",
      "name": "named-after/list"
    },
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Leonhard Euler"
      },
      "expansion": "Leonhard Euler",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Leonhard Euler",
        "born": "1707",
        "died": "1783",
        "nat": "Swiss",
        "occ": "mathematician",
        "wplink": "="
      },
      "expansion": "Named after Swiss mathematician Leonhard Euler (1707–1783)",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after Swiss mathematician Leonhard Euler (1707–1783).",
  "forms": [
    {
      "form": "Euler angles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Euler angle (plural Euler angles)",
      "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": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Romanian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Euler angles can also represent the orientation of a mobile frame of reference in physics or the orientation of a basis in 3-dimensional linear algebra.",
          "type": "example"
        },
        {
          "ref": "1991, “AIAA Flight Simulation Technologies Conference: A Collection of Technical Papers”, in AIAA, page 271:",
          "text": "The use of Euler angles or Quaternions to represent entity (i.e., vehicle) orientation in the draft military standard for Distributed Interactive Simulation has drawn fierce debate.",
          "type": "quote"
        },
        {
          "ref": "2006, Don Koks, Explorations in Mathematical Physics: The Concepts Behind an Elegant Language, Springer, page 171:",
          "text": "We have not drawn a picture, since Euler angle pictures of three-dimensional rotations are notoriously difficult to comprehend; what is very useful is for the reader to make a set of wire axes with labels to help follow the sequence of rotations.",
          "type": "quote"
        },
        {
          "ref": "2008, Midori Kitagawa, Brian Windsor, MoCap for Artists: Workflow and Techniques for Motion Capture, Elsevier (Focal Press), page 188:",
          "text": "Why do we need to know what Euler angles are? Because we use them. Many commercial 3D computer animation packages that are available today use Euler angles to describe and change orientations of objects.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler."
      ],
      "id": "en-Euler_angle-en-noun-V9cOih6H",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "orientation",
          "orientation"
        ],
        [
          "rigid body",
          "rigid body"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "coordinate system",
          "coordinate system"
        ],
        [
          "formalism",
          "formalism"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler."
      ],
      "related": [
        {
          "word": "Tait-Bryan angle"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
          "tags": [
            "masculine"
          ],
          "word": "eulerscher Winkel"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
          "tags": [
            "masculine"
          ],
          "word": "Euler-Winkel"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
          "tags": [
            "masculine"
          ],
          "word": "angolo di Eulero"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
          "tags": [
            "neuter"
          ],
          "word": "unghi Euler"
        }
      ],
      "wikipedia": [
        "Euler angles"
      ]
    }
  ],
  "word": "Euler angle"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "mathematician",
        "2": "",
        "3": "",
        "4": "",
        "5": ""
      },
      "expansion": "mathematician",
      "name": "named-after/list"
    },
    {
      "args": {},
      "expansion": "|",
      "name": "!"
    },
    {
      "args": {
        "1": "en",
        "2": "Leonhard Euler"
      },
      "expansion": "Leonhard Euler",
      "name": "lang"
    },
    {
      "args": {
        "1": "en",
        "2": "Leonhard Euler",
        "born": "1707",
        "died": "1783",
        "nat": "Swiss",
        "occ": "mathematician",
        "wplink": "="
      },
      "expansion": "Named after Swiss mathematician Leonhard Euler (1707–1783)",
      "name": "named-after"
    }
  ],
  "etymology_text": "Named after Swiss mathematician Leonhard Euler (1707–1783).",
  "forms": [
    {
      "form": "Euler angles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Euler angle (plural Euler angles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Tait-Bryan angle"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Italian translations",
        "Terms with Romanian translations",
        "en:Geometry"
      ],
      "examples": [
        {
          "text": "Euler angles can also represent the orientation of a mobile frame of reference in physics or the orientation of a basis in 3-dimensional linear algebra.",
          "type": "example"
        },
        {
          "ref": "1991, “AIAA Flight Simulation Technologies Conference: A Collection of Technical Papers”, in AIAA, page 271:",
          "text": "The use of Euler angles or Quaternions to represent entity (i.e., vehicle) orientation in the draft military standard for Distributed Interactive Simulation has drawn fierce debate.",
          "type": "quote"
        },
        {
          "ref": "2006, Don Koks, Explorations in Mathematical Physics: The Concepts Behind an Elegant Language, Springer, page 171:",
          "text": "We have not drawn a picture, since Euler angle pictures of three-dimensional rotations are notoriously difficult to comprehend; what is very useful is for the reader to make a set of wire axes with labels to help follow the sequence of rotations.",
          "type": "quote"
        },
        {
          "ref": "2008, Midori Kitagawa, Brian Windsor, MoCap for Artists: Workflow and Techniques for Motion Capture, Elsevier (Focal Press), page 188:",
          "text": "Why do we need to know what Euler angles are? Because we use them. Many commercial 3D computer animation packages that are available today use Euler angles to describe and change orientations of objects.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "orientation",
          "orientation"
        ],
        [
          "rigid body",
          "rigid body"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "coordinate system",
          "coordinate system"
        ],
        [
          "formalism",
          "formalism"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Euler angles"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
      "tags": [
        "masculine"
      ],
      "word": "eulerscher Winkel"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
      "tags": [
        "masculine"
      ],
      "word": "Euler-Winkel"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
      "tags": [
        "masculine"
      ],
      "word": "angolo di Eulero"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "any one of three angles that describe orientation in a 3-d coordinate system",
      "tags": [
        "neuter"
      ],
      "word": "unghi Euler"
    }
  ],
  "word": "Euler angle"
}

Download raw JSONL data for Euler angle meaning in English (4.0kB)


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.

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.