"Carlyle circle" meaning in English

{
  "etymology_text": "The idea of using such a circle to solve a quadratic equation is attributed to Thomas Carlyle (1795–1881).",
  "forms": [
    {
      "form": "Carlyle circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carlyle circle (plural Carlyle circles)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.",
          "type": "example"
        }
      ],
      "glosses": [
        "A certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis."
      ],
      "id": "en-Carlyle_circle-en-noun-WYgVnzlj",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quadratic equation",
          "quadratic equation"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "horizontal",
          "horizontal"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "axis",
          "axis"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Carlyle circle",
        "Thomas Carlyle"
      ]
    }
  ],
  "word": "Carlyle circle"
}

{
  "etymology_text": "The idea of using such a circle to solve a quadratic equation is attributed to Thomas Carlyle (1795–1881).",
  "forms": [
    {
      "form": "Carlyle circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Carlyle circle (plural Carlyle circles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with usage examples",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.",
          "type": "example"
        }
      ],
      "glosses": [
        "A certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "quadratic equation",
          "quadratic equation"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "horizontal",
          "horizontal"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "axis",
          "axis"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain circle in a coordinate plane associated with a quadratic equation, having the property that the solutions of the equation are the horizontal coordinates of the intersections of the circle with the horizontal axis."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Carlyle circle",
        "Thomas Carlyle"
      ]
    }
  ],
  "word": "Carlyle circle"
}