"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

{
  "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": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Dutch translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Esperanto translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Italian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Japanese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Latin translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Mandarin translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Tagalog translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "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.",
          "type": "example"
        }
      ],
      "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": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Entries with translation boxes",
        "Mandarin terms with redundant transliterations",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Dutch translations",
        "Terms with Esperanto translations",
        "Terms with Finnish translations",
        "Terms with German translations",
        "Terms with Hungarian translations",
        "Terms with Italian translations",
        "Terms with Japanese translations",
        "Terms with Latin translations",
        "Terms with Mandarin translations",
        "Terms with Polish translations",
        "Terms with Russian translations",
        "Terms with Spanish translations",
        "Terms with Tagalog translations",
        "en:Mathematics",
        "en:Numbers"
      ],
      "examples": [
        {
          "text": "Ten is a triangular number being the sum of 1, 2, 3, and 4.",
          "type": "example"
        }
      ],
      "glosses": [
        "Any integer that is the sum of n natural numbers from 1 to n."
      ],
      "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."
      ],
      "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"
}

Download raw JSONL data for triangular number meaning in English (3.6kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.