"Steiner point" meaning in English

See Steiner point in All languages combined, or Wiktionary

Noun

Forms: Steiner points [plural]
Etymology: Named after Jakob Steiner. Head templates: {{en-noun}} Steiner point (plural Steiner points)
  1. (electronics) One vertex of a Steiner tree. Categories (topical): Electronics
    Sense id: en-Steiner_point-en-noun-M7rsf~pT Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 37 5 20 17 20 Disambiguation of English entries with language name categories using raw markup: 45 5 25 11 15 Disambiguation of English terms with non-redundant non-automated sortkeys: 37 7 22 14 21 Topics: business, electrical-engineering, electricity, electromagnetism, electronics, energy, engineering, natural-sciences, physical-sciences, physics
  2. (graph theory) An extra vertex that is not a member of the input. Categories (topical): Graph theory
    Sense id: en-Steiner_point-en-noun-FMSzMb6E Topics: graph-theory, mathematics, sciences
  3. (geometry) The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle. Categories (topical): Geometry
    Sense id: en-Steiner_point-en-noun-juIhWFd0 Topics: geometry, mathematics, sciences
  4. (geometry) The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system. Categories (topical): Geometry
    Sense id: en-Steiner_point-en-noun-qlSZt9ae Topics: geometry, mathematics, sciences
  5. (geometry) Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices. Categories (topical): Geometry
    Sense id: en-Steiner_point-en-noun-VgotORLR Topics: geometry, mathematics, sciences

Inflected forms

Download JSON data for Steiner point meaning in English (4.6kB)

{
  "etymology_text": "Named after Jakob Steiner.",
  "forms": [
    {
      "form": "Steiner points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Steiner point (plural Steiner points)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Electronics",
          "orig": "en:Electronics",
          "parents": [
            "Technology",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "_dis": "37 5 20 17 20",
          "kind": "other",
          "name": "English entries with incorrect language header",
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            "Entry maintenance"
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          "source": "w+disamb"
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        {
          "_dis": "45 5 25 11 15",
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
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          "source": "w+disamb"
        },
        {
          "_dis": "37 7 22 14 21",
          "kind": "other",
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          "parents": [
            "Terms with non-redundant non-automated sortkeys",
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        }
      ],
      "examples": [
        {
          "text": "I created a Steiner point in my layout design at the point where I want my net's routing to branch."
        }
      ],
      "glosses": [
        "One vertex of a Steiner tree."
      ],
      "id": "en-Steiner_point-en-noun-M7rsf~pT",
      "links": [
        [
          "electronics",
          "electronics"
        ],
        [
          "vertex",
          "vertex"
        ],
        [
          "Steiner tree",
          "Steiner tree"
        ]
      ],
      "raw_glosses": [
        "(electronics) One vertex of a Steiner tree."
      ],
      "topics": [
        "business",
        "electrical-engineering",
        "electricity",
        "electromagnetism",
        "electronics",
        "energy",
        "engineering",
        "natural-sciences",
        "physical-sciences",
        "physics"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Graph theory",
          "orig": "en:Graph theory",
          "parents": [
            "Mathematics",
            "Visualization",
            "Formal sciences",
            "Computing",
            "Interdisciplinary fields",
            "Sciences",
            "Technology",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An extra vertex that is not a member of the input."
      ],
      "id": "en-Steiner_point-en-noun-FMSzMb6E",
      "links": [
        [
          "graph theory",
          "graph theory"
        ]
      ],
      "raw_glosses": [
        "(graph theory) An extra vertex that is not a member of the input."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
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          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle."
      ],
      "id": "en-Steiner_point-en-noun-juIhWFd0",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "circumcircle",
          "circumcircle"
        ],
        [
          "Brocard triangle",
          "Brocard triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
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          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system."
      ],
      "id": "en-Steiner_point-en-noun-qlSZt9ae",
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      "raw_glosses": [
        "(geometry) The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
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          "kind": "topical",
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          "name": "Geometry",
          "orig": "en:Geometry",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices."
      ],
      "id": "en-Steiner_point-en-noun-VgotORLR",
      "links": [
        [
          "geometry",
          "geometry"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Steiner point"
}
{
  "categories": [
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    "English entries with incorrect language header",
    "English entries with language name categories using raw markup",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English terms with non-redundant non-automated sortkeys"
  ],
  "etymology_text": "Named after Jakob Steiner.",
  "forms": [
    {
      "form": "Steiner points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Electronics"
      ],
      "examples": [
        {
          "text": "I created a Steiner point in my layout design at the point where I want my net's routing to branch."
        }
      ],
      "glosses": [
        "One vertex of a Steiner tree."
      ],
      "links": [
        [
          "electronics",
          "electronics"
        ],
        [
          "vertex",
          "vertex"
        ],
        [
          "Steiner tree",
          "Steiner tree"
        ]
      ],
      "raw_glosses": [
        "(electronics) One vertex of a Steiner tree."
      ],
      "topics": [
        "business",
        "electrical-engineering",
        "electricity",
        "electromagnetism",
        "electronics",
        "energy",
        "engineering",
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        "physical-sciences",
        "physics"
      ]
    },
    {
      "categories": [
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      ],
      "glosses": [
        "An extra vertex that is not a member of the input."
      ],
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        [
          "graph theory",
          "graph theory"
        ]
      ],
      "raw_glosses": [
        "(graph theory) An extra vertex that is not a member of the input."
      ],
      "topics": [
        "graph-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Geometry"
      ],
      "glosses": [
        "The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle."
      ],
      "links": [
        [
          "geometry",
          "geometry"
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        [
          "circumcircle",
          "circumcircle"
        ],
        [
          "Brocard triangle",
          "Brocard triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Geometry"
      ],
      "glosses": [
        "The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system."
      ],
      "links": [
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          "geometry",
          "geometry"
        ],
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          "geometric",
          "geometric"
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      "raw_glosses": [
        "(geometry) The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Geometry"
      ],
      "glosses": [
        "Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Steiner point"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.