"pronic" meaning in English

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      "expansion": "New Latin pronicus",
      "name": "bor"
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        "2": "la",
        "3": "promicus"
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      "expansion": "Latin promicus",
      "name": "der"
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      "args": {
        "1": "en",
        "2": "grc",
        "3": "προμήκης",
        "4": "",
        "5": "elongated, oblong"
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      "expansion": "Ancient Greek προμήκης (promḗkēs, “elongated, oblong”)",
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        "1": "en",
        "2": "pronic"
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  "etymology_text": "Apparently from New Latin pronicus, a misspelling of Latin promicus, from Ancient Greek προμήκης (promḗkēs, “elongated, oblong”), but the spelling has been pronic from its earliest known occurrence in English ( Leonhard Euler, Opera Omnia, series 1, volume 15).",
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  "lang_code": "en",
  "pos": "adj",
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      "examples": [
        {
          "text": "1478 - Pierpaolo Muscharello, Algorismus p.163.\nPronic root is as if you say, 9 times 9 makes 81. And now take the root of 9, which is 3, and this 3 is added above 81: it makes 84, so that the pronic root of 84 is said to be 3."
        },
        {
          "text": "1794 - David Wilkie, Theory of interest, p.6, Edinburgh: Peter Hill, 1794.\nWhen a = 2, and d = 2 also, in this case, in equation 1st, s=n² + n = a pronic number, which is produced by the addition of even numbers in an arithmetic progression beginning at 2; and the pronic root scriptstyle n=(√4s+1-1)/2."
        },
        {
          "text": "1804 - Paul Deighan, \"Recommendatory letters\", A complete treatise on arithmetic, rational and practical, vol.1, p.viii, Dublin: J. Jones, 1804.\nAs I admire each proposition fair,\nthe pronic number and the perfect square,\nthe puzzling intricate equation solv'd,\nas Grecia's chief the Gordian knot dissolv'd;\n- John Bartley"
        },
        {
          "ref": "1814 - Charles Butler, Easy Introduction to Mathematics, p.96, Barlett & Newman, 1814",
          "text": "A pronic number is that which is equal to the sum of a square number and its root. Thus, 6, 12, 20, 30, &c. are pronic numbers."
        },
        {
          "ref": "1998, Wayne L. McDaniel, “Pronic Lucas Numbers”, in The Fibonacci Quarterly, pages 60–62",
          "text": "It may be noted that if Lₙ is a pronic number, then Lₙ is two times a triangular number.",
          "type": "quotation"
        },
        {
          "text": "2005 - G. K. Panda1 and P. K. Ray, \"Cobalancing numbers and cobalancers\", International Journal of Mathematics and Mathematical Sciences, vol.2005, iss.8, pp.1189-1200.\nThus, our search for cobalancing number is confined to the pronic triangular numbers, that is, triangular numbers that are also pronic numbers."
        }
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      "glosses": [
        "Of a number which is the product of two consecutive integers"
      ],
      "id": "en-pronic-en-adj-Qb5-IyDt",
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          "mathematics",
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      "raw_glosses": [
        "(mathematics) Of a number which is the product of two consecutive integers"
      ],
      "related": [
        {
          "word": "rectangular number"
        },
        {
          "word": "oblong number"
        }
      ],
      "synonyms": [
        {
          "word": "heteromecic"
        }
      ],
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        "not-comparable"
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        "mathematics",
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      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "proninen"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "pronisch"
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          "code": "pl",
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          "note": "not used in Polish",
          "sense": "Translations"
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  "sounds": [
    {
      "ipa": "/ˈpɹɒnɪk/"
    }
  ],
  "word": "pronic"
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      "expansion": "Latin promicus",
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        "3": "προμήκης",
        "4": "",
        "5": "elongated, oblong"
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      "name": "der"
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  "etymology_text": "Apparently from New Latin pronicus, a misspelling of Latin promicus, from Ancient Greek προμήκης (promḗkēs, “elongated, oblong”), but the spelling has been pronic from its earliest known occurrence in English ( Leonhard Euler, Opera Omnia, series 1, volume 15).",
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  "lang_code": "en",
  "pos": "adj",
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      "word": "rectangular number"
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      "word": "oblong number"
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        {
          "text": "1478 - Pierpaolo Muscharello, Algorismus p.163.\nPronic root is as if you say, 9 times 9 makes 81. And now take the root of 9, which is 3, and this 3 is added above 81: it makes 84, so that the pronic root of 84 is said to be 3."
        },
        {
          "text": "1794 - David Wilkie, Theory of interest, p.6, Edinburgh: Peter Hill, 1794.\nWhen a = 2, and d = 2 also, in this case, in equation 1st, s=n² + n = a pronic number, which is produced by the addition of even numbers in an arithmetic progression beginning at 2; and the pronic root scriptstyle n=(√4s+1-1)/2."
        },
        {
          "text": "1804 - Paul Deighan, \"Recommendatory letters\", A complete treatise on arithmetic, rational and practical, vol.1, p.viii, Dublin: J. Jones, 1804.\nAs I admire each proposition fair,\nthe pronic number and the perfect square,\nthe puzzling intricate equation solv'd,\nas Grecia's chief the Gordian knot dissolv'd;\n- John Bartley"
        },
        {
          "ref": "1814 - Charles Butler, Easy Introduction to Mathematics, p.96, Barlett & Newman, 1814",
          "text": "A pronic number is that which is equal to the sum of a square number and its root. Thus, 6, 12, 20, 30, &c. are pronic numbers."
        },
        {
          "ref": "1998, Wayne L. McDaniel, “Pronic Lucas Numbers”, in The Fibonacci Quarterly, pages 60–62",
          "text": "It may be noted that if Lₙ is a pronic number, then Lₙ is two times a triangular number.",
          "type": "quotation"
        },
        {
          "text": "2005 - G. K. Panda1 and P. K. Ray, \"Cobalancing numbers and cobalancers\", International Journal of Mathematics and Mathematical Sciences, vol.2005, iss.8, pp.1189-1200.\nThus, our search for cobalancing number is confined to the pronic triangular numbers, that is, triangular numbers that are also pronic numbers."
        }
      ],
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        "Of a number which is the product of two consecutive integers"
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        "(mathematics) Of a number which is the product of two consecutive integers"
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    {
      "ipa": "/ˈpɹɒnɪk/"
    }
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      "word": "heteromecic"
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      "sense": "Translations",
      "word": "proninen"
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  "word": "pronic"
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