"osculating circle" meaning in All languages combined

See osculating circle on Wiktionary

Noun [English]

Forms: osculating circles [plural]
Head templates: {{en-noun}} osculating circle (plural osculating circles)
  1. (geometry, for any point on a curve) The circle that has the same tangent, and the same curvature at the point on the curve. Categories (topical): Circle, Curves, Geometry Related terms: centre of curvature, radius of curvature Translations (notion in mathematics): cercle osculateur [masculine] (French), Schmiegkreis [feminine] (German), Krümmungskreis [feminine] (German)
    Sense id: en-osculating_circle-en-noun-~au3kPYg Categories (other): English entries with incorrect language header Topics: geometry, mathematics, sciences

Inflected forms

Download JSON data for osculating circle meaning in All languages combined (1.9kB)

{
  "forms": [
    {
      "form": "osculating circles",
      "tags": [
        "plural"
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  "head_templates": [
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      "args": {},
      "expansion": "osculating circle (plural osculating circles)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Circle",
          "orig": "en:Circle",
          "parents": [
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            "Shapes",
            "Geometry",
            "Mathematics",
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            "Sciences",
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        }
      ],
      "glosses": [
        "The circle that has the same tangent, and the same curvature at the point on the curve."
      ],
      "id": "en-osculating_circle-en-noun-~au3kPYg",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "tangent",
          "tangent"
        ],
        [
          "curvature",
          "curvature"
        ]
      ],
      "raw_glosses": [
        "(geometry, for any point on a curve) The circle that has the same tangent, and the same curvature at the point on the curve."
      ],
      "raw_tags": [
        "for any point on a curve"
      ],
      "related": [
        {
          "word": "centre of curvature"
        },
        {
          "word": "radius of curvature"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "notion in mathematics",
          "tags": [
            "masculine"
          ],
          "word": "cercle osculateur"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "notion in mathematics",
          "tags": [
            "feminine"
          ],
          "word": "Schmiegkreis"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "notion in mathematics",
          "tags": [
            "feminine"
          ],
          "word": "Krümmungskreis"
        }
      ]
    }
  ],
  "word": "osculating circle"
}
{
  "forms": [
    {
      "form": "osculating circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "osculating circle (plural osculating circles)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "centre of curvature"
    },
    {
      "word": "radius of curvature"
    }
  ],
  "senses": [
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        "English lemmas",
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        "The circle that has the same tangent, and the same curvature at the point on the curve."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "tangent",
          "tangent"
        ],
        [
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          "curvature"
        ]
      ],
      "raw_glosses": [
        "(geometry, for any point on a curve) The circle that has the same tangent, and the same curvature at the point on the curve."
      ],
      "raw_tags": [
        "for any point on a curve"
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "notion in mathematics",
      "tags": [
        "masculine"
      ],
      "word": "cercle osculateur"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "notion in mathematics",
      "tags": [
        "feminine"
      ],
      "word": "Schmiegkreis"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "notion in mathematics",
      "tags": [
        "feminine"
      ],
      "word": "Krümmungskreis"
    }
  ],
  "word": "osculating circle"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 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.