"trisection point" meaning in English

See trisection point in All languages combined, or Wiktionary

Noun

Forms: trisection points [plural]
Head templates: {{en-noun}} trisection point (plural trisection points)
  1. (geometry) Either of two points which trisect a given line segment. Categories (topical): Geometry Related terms: trisector
    Sense id: en-trisection_point-en-noun-P-vI1gSM Categories (other): English entries with incorrect language header Topics: geometry, mathematics, sciences

Inflected forms

Download JSON data for trisection point meaning in English (2.0kB)

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  "forms": [
    {
      "form": "trisection points",
      "tags": [
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  "head_templates": [
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  "pos": "noun",
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          "name": "English entries with incorrect language header",
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        {
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          "name": "Geometry",
          "orig": "en:Geometry",
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      "examples": [
        {
          "text": "The centroid of a triangle is, by definition, the point of intersection of the three medians: moreover, it is a trisection point of each of the medians.",
          "type": "example"
        },
        {
          "text": "1959 [Doubleday], William R. Gondin, Bernard Sohmer, Intermediate Algebra & Analytic Geometry Made Simple, 1967, W. H. Allen, page 147,\nFind the trisection points of the line P_4P_5 in the same diagram."
        },
        {
          "text": "1965, Paul A. White, Vector Analytic Geometry, Dickenson Publishing Company, page 73,\nIn triangle ABC, let E be the midpoint of BC and D the trisection point of AC nearest C."
        },
        {
          "text": "1998, Paul J. Nahin, An Imaginary Tale: The Story of √, Princeton University Press, 2010, paperback, page 88,\nAnd if λ=2, then P is a trisection point of P_1P_2 and\nz=(z_1+2z_2)/3.\nNotice that this trisection point is closer to P_2 than it is to P_1. The other trisection point, the one that is closer to P_1 than it is to P_2, occurs for λ= tfrac 1 2, which gives\nz=(2z_1+z_2)/3."
        }
      ],
      "glosses": [
        "Either of two points which trisect a given line segment."
      ],
      "id": "en-trisection_point-en-noun-P-vI1gSM",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
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        ],
        [
          "trisect",
          "trisect"
        ],
        [
          "line segment",
          "line segment"
        ]
      ],
      "raw_glosses": [
        "(geometry) Either of two points which trisect a given line segment."
      ],
      "related": [
        {
          "word": "trisector"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "trisection point"
}
{
  "forms": [
    {
      "form": "trisection points",
      "tags": [
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  ],
  "head_templates": [
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      "expansion": "trisection point (plural trisection points)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "trisector"
    }
  ],
  "senses": [
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      "examples": [
        {
          "text": "The centroid of a triangle is, by definition, the point of intersection of the three medians: moreover, it is a trisection point of each of the medians.",
          "type": "example"
        },
        {
          "text": "1959 [Doubleday], William R. Gondin, Bernard Sohmer, Intermediate Algebra & Analytic Geometry Made Simple, 1967, W. H. Allen, page 147,\nFind the trisection points of the line P_4P_5 in the same diagram."
        },
        {
          "text": "1965, Paul A. White, Vector Analytic Geometry, Dickenson Publishing Company, page 73,\nIn triangle ABC, let E be the midpoint of BC and D the trisection point of AC nearest C."
        },
        {
          "text": "1998, Paul J. Nahin, An Imaginary Tale: The Story of √, Princeton University Press, 2010, paperback, page 88,\nAnd if λ=2, then P is a trisection point of P_1P_2 and\nz=(z_1+2z_2)/3.\nNotice that this trisection point is closer to P_2 than it is to P_1. The other trisection point, the one that is closer to P_1 than it is to P_2, occurs for λ= tfrac 1 2, which gives\nz=(2z_1+z_2)/3."
        }
      ],
      "glosses": [
        "Either of two points which trisect a given line segment."
      ],
      "links": [
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          "geometry",
          "geometry"
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        ],
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        ],
        [
          "line segment",
          "line segment"
        ]
      ],
      "raw_glosses": [
        "(geometry) Either of two points which trisect a given line segment."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "trisection 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.

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