"triangular number" meaning in English

See triangular number in All languages combined, or Wiktionary

Noun

Forms: triangular numbers [plural]
Head templates: {{en-noun}} triangular number (plural triangular numbers)
  1. (mathematics) Any integer that is the sum of n natural numbers from 1 to n. Wikipedia link: triangular number Categories (topical): Mathematics, Numbers Synonyms: triangle number Hyponyms: hexagonal number Translations (an integer which is the sum of n natural numbers): 三角形數 (Chinese Mandarin), 三角形数 (sānjiǎoxíngshù) (Chinese Mandarin), driehoeksgetal [neuter] (Dutch), triangula nombro (Esperanto), kolmioluku (Finnish), Dreieckszahl [feminine] (German), háromszögszám (Hungarian), numero triangolare [masculine] (Italian), 三角数 (sankaku-sū) (Japanese), numerus triangularis [masculine] (Latin), liczba trójkątna [feminine] (Polish), треуго́льное число́ (treugólʹnoje čisló) [neuter] (Russian), número triangular [masculine] (Spanish), bilang na tatsihain (Tagalog)

Inflected forms

Download JSON data for triangular number meaning in English (3.9kB)

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  "forms": [
    {
      "form": "triangular numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "triangular number (plural triangular numbers)",
      "name": "en-noun"
    }
  ],
  "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"
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        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Numbers",
          "orig": "en:Numbers",
          "parents": [
            "All topics",
            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Ten is a triangular number being the sum of 1, 2, 3, and 4."
        }
      ],
      "glosses": [
        "Any integer that is the sum of n natural numbers from 1 to n."
      ],
      "hyponyms": [
        {
          "word": "hexagonal number"
        }
      ],
      "id": "en-triangular_number-en-noun-eG3jP5TT",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "natural number",
          "natural number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any integer that is the sum of n natural numbers from 1 to n."
      ],
      "synonyms": [
        {
          "word": "triangle number"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "三角形數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "sānjiǎoxíngshù",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "三角形数"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "neuter"
          ],
          "word": "driehoeksgetal"
        },
        {
          "code": "eo",
          "lang": "Esperanto",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "triangula nombro"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "kolmioluku"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "feminine"
          ],
          "word": "Dreieckszahl"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "háromszögszám"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "masculine"
          ],
          "word": "numero triangolare"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "sankaku-sū",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "三角数"
        },
        {
          "code": "la",
          "lang": "Latin",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "masculine"
          ],
          "word": "numerus triangularis"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "feminine"
          ],
          "word": "liczba trójkątna"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "treugólʹnoje čisló",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "neuter"
          ],
          "word": "треуго́льное число́"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "an integer which is the sum of n natural numbers",
          "tags": [
            "masculine"
          ],
          "word": "número triangular"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "an integer which is the sum of n natural numbers",
          "word": "bilang na tatsihain"
        }
      ],
      "wikipedia": [
        "triangular number"
      ]
    }
  ],
  "word": "triangular number"
}
{
  "forms": [
    {
      "form": "triangular numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "triangular number (plural triangular numbers)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "hexagonal number"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
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      ],
      "examples": [
        {
          "text": "Ten is a triangular number being the sum of 1, 2, 3, and 4."
        }
      ],
      "glosses": [
        "Any integer that is the sum of n natural numbers from 1 to n."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
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        ]
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      "raw_glosses": [
        "(mathematics) Any integer that is the sum of n natural numbers from 1 to n."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "triangular number"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "triangle number"
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "三角形數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "sānjiǎoxíngshù",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "三角形数"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "neuter"
      ],
      "word": "driehoeksgetal"
    },
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "triangula nombro"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "kolmioluku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "feminine"
      ],
      "word": "Dreieckszahl"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "háromszögszám"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "masculine"
      ],
      "word": "numero triangolare"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "sankaku-sū",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "三角数"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "masculine"
      ],
      "word": "numerus triangularis"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "feminine"
      ],
      "word": "liczba trójkątna"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "treugólʹnoje čisló",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "neuter"
      ],
      "word": "треуго́льное число́"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "an integer which is the sum of n natural numbers",
      "tags": [
        "masculine"
      ],
      "word": "número triangular"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "an integer which is the sum of n natural numbers",
      "word": "bilang na tatsihain"
    }
  ],
  "word": "triangular number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 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.