"Pascal's triangle" meaning in English

{
  "etymology_text": "From Blaise Pascal French mathematician.",
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      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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          "name": "Mathematics",
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      ],
      "glosses": [
        "A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above."
      ],
      "id": "en-Pascal's_triangle-en-noun-niUqpXdz",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometric",
          "geometric"
        ],
        [
          "binomial coefficient",
          "binomial coefficient"
        ],
        [
          "sum",
          "sum"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "Pascal's triangle",
          "word": "賈憲三角形"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Jiǎxiàn sānjiǎoxíng",
          "sense": "Pascal's triangle",
          "word": "贾宪三角形"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "Pascal's triangle",
          "word": "楊輝三角形"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Yánghuī sānjiǎoxíng",
          "sense": "Pascal's triangle",
          "word": "杨辉三角形"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "Pàsīkǎ sānjiǎoxíng",
          "sense": "Pascal's triangle",
          "word": "帕斯卡三角形"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "Pascal's triangle",
          "tags": [
            "masculine"
          ],
          "word": "Pascalův trojúhelník"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Pascal's triangle",
          "word": "Pascalin kolmio"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Pascal's triangle",
          "word": "triangle de Pascal"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Pascal's triangle",
          "tags": [
            "neuter"
          ],
          "word": "Pascalsches Dreieck"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Pascal's triangle",
          "tags": [
            "masculine"
          ],
          "word": "triangolo di Tartaglia"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Pascal's triangle",
          "tags": [
            "masculine"
          ],
          "word": "triangolo di Pascal"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "roman": "mosallas-e xayyâm",
          "sense": "Pascal's triangle",
          "word": "مثلث خیام"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "roman": "mosallas-e xayyâm-pâskâl",
          "sense": "Pascal's triangle",
          "word": "مثلث خیام-پاسکال"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "treugólʹnik Paskálja",
          "sense": "Pascal's triangle",
          "tags": [
            "masculine"
          ],
          "word": "треуго́льник Паска́ля"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "Pascal's triangle",
          "tags": [
            "masculine"
          ],
          "word": "Pascalov trokut"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "Pascal's triangle",
          "word": "Pascals triangel"
        }
      ],
      "wikipedia": [
        "Pascal's triangle"
      ]
    }
  ],
  "word": "Pascal's triangle"
}

{
  "etymology_text": "From Blaise Pascal French mathematician.",
  "forms": [
    {
      "form": "Pascal's triangles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "Pascal's triangle (plural Pascal's triangles)",
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  "lang_code": "en",
  "pos": "noun",
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        "Terms with Russian translations",
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      "glosses": [
        "A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above."
      ],
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        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometric",
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        ],
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          "binomial coefficient",
          "binomial coefficient"
        ],
        [
          "sum",
          "sum"
        ]
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        "(mathematics) A geometric representation of the binomial coefficients in a triangle, each entry being the sum of the two entries above."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Pascal's triangle"
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  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "Pascal's triangle",
      "word": "賈憲三角形"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Jiǎxiàn sānjiǎoxíng",
      "sense": "Pascal's triangle",
      "word": "贾宪三角形"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "Pascal's triangle",
      "word": "楊輝三角形"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Yánghuī sānjiǎoxíng",
      "sense": "Pascal's triangle",
      "word": "杨辉三角形"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "Pàsīkǎ sānjiǎoxíng",
      "sense": "Pascal's triangle",
      "word": "帕斯卡三角形"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "Pascal's triangle",
      "tags": [
        "masculine"
      ],
      "word": "Pascalův trojúhelník"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Pascal's triangle",
      "word": "Pascalin kolmio"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Pascal's triangle",
      "word": "triangle de Pascal"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Pascal's triangle",
      "tags": [
        "neuter"
      ],
      "word": "Pascalsches Dreieck"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Pascal's triangle",
      "tags": [
        "masculine"
      ],
      "word": "triangolo di Tartaglia"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Pascal's triangle",
      "tags": [
        "masculine"
      ],
      "word": "triangolo di Pascal"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "roman": "mosallas-e xayyâm",
      "sense": "Pascal's triangle",
      "word": "مثلث خیام"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "roman": "mosallas-e xayyâm-pâskâl",
      "sense": "Pascal's triangle",
      "word": "مثلث خیام-پاسکال"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "treugólʹnik Paskálja",
      "sense": "Pascal's triangle",
      "tags": [
        "masculine"
      ],
      "word": "треуго́льник Паска́ля"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Pascal's triangle",
      "tags": [
        "masculine"
      ],
      "word": "Pascalov trokut"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Pascal's triangle",
      "word": "Pascals triangel"
    }
  ],
  "word": "Pascal's triangle"
}