"共面条件" meaning in 日本語

See 共面条件 in All languages combined, or Wiktionary

Noun

Forms: きょうめんじょうけん
  1. 三次元以上の空間において4つの点が同一平面上に存在する条件。
    Sense id: ja-共面条件-ja-noun-ERFhCEd~ Categories (other): 日本語 幾何学, 日本語 線型代数学 Topics: geometry, linear algebra
The following are not (yet) sense-disambiguated
Related terms: 幾何ベクトル, 共点条件, 共線条件, 一次従属, 一次独立
Categories (other): 日本語, 日本語 名詞
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  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
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    {
      "kind": "other",
      "name": "日本語 名詞",
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  "forms": [
    {
      "form": "きょうめんじょうけん"
    }
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  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "幾何ベクトル"
    },
    {
      "word": "共点条件"
    },
    {
      "word": "共線条件"
    },
    {
      "word": "一次従属"
    },
    {
      "word": "一次独立"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 幾何学",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "日本語 線型代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "4点A、B、C、Dが同一平面上に存在する"
        },
        {
          "text": "⟺⃑ABと⃑AC、⃑ADが一次従属"
        },
        {
          "text": "⟺det⃑AB⃑AC⃑AD=0 ※各ベクトルを列ベクトルと見たとき"
        },
        {
          "text": "⟺⃑AB=k⃑AC+l⃑ADとなる実数の組(k,l)が存在する"
        },
        {
          "text": "⟺⃑OD=s⃑OA+t⃑OB+u⃑OC\\s+t+u=1を満たす実数の組(s,t,u)が存在する。"
        }
      ],
      "glosses": [
        "三次元以上の空間において4つの点が同一平面上に存在する条件。"
      ],
      "id": "ja-共面条件-ja-noun-ERFhCEd~",
      "topics": [
        "geometry",
        "linear algebra"
      ]
    }
  ],
  "word": "共面条件"
}
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      "word": "幾何ベクトル"
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    {
      "word": "共点条件"
    },
    {
      "word": "共線条件"
    },
    {
      "word": "一次従属"
    },
    {
      "word": "一次独立"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 幾何学",
        "日本語 線型代数学"
      ],
      "examples": [
        {
          "text": "4点A、B、C、Dが同一平面上に存在する"
        },
        {
          "text": "⟺⃑ABと⃑AC、⃑ADが一次従属"
        },
        {
          "text": "⟺det⃑AB⃑AC⃑AD=0 ※各ベクトルを列ベクトルと見たとき"
        },
        {
          "text": "⟺⃑AB=k⃑AC+l⃑ADとなる実数の組(k,l)が存在する"
        },
        {
          "text": "⟺⃑OD=s⃑OA+t⃑OB+u⃑OC\\s+t+u=1を満たす実数の組(s,t,u)が存在する。"
        }
      ],
      "glosses": [
        "三次元以上の空間において4つの点が同一平面上に存在する条件。"
      ],
      "topics": [
        "geometry",
        "linear algebra"
      ]
    }
  ],
  "word": "共面条件"
}

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This page is a part of the kaikki.org machine-readable 日本語 dictionary. This dictionary is based on structured data extracted on 2025-08-04 from the jawiktionary dump dated 2025-08-02 using wiktextract (a681f8a and 3c020d2). 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.