problem of Apollonius in English

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{
  "etymology_text": "Apollonius of Perga posed and solved this famous problem in ancient times.",
  "forms": [
    {
      "form": "the problem of Apollonius",
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
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          "name": "Geometry",
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        }
      ],
      "glosses": [
        "The problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane."
      ],
      "id": "en-problem_of_Apollonius-en-name-kPGBNhwt",
      "links": [
        [
          "geometry",
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          "Euclidean"
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          "plane geometry",
          "plane geometry"
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          "construct"
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          "circle",
          "circle"
        ],
        [
          "tangent",
          "tangent"
        ],
        [
          "plane",
          "plane"
        ]
      ],
      "raw_glosses": [
        "(geometry) The problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane."
      ],
      "synonyms": [
        {
          "word": "Apollonius's problem"
        },
        {
          "word": "Apollonian problem"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "problem of Apollonius"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Apollonius of Perga posed and solved this famous problem in ancient times.",
  "forms": [
    {
      "form": "the problem of Apollonius",
      "tags": [
        "canonical"
      ]
    }
  ],
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  "lang_code": "en",
  "pos": "name",
  "senses": [
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        "en:Geometry"
      ],
      "glosses": [
        "The problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "Euclidean",
          "Euclidean"
        ],
        [
          "plane geometry",
          "plane geometry"
        ],
        [
          "construct",
          "construct"
        ],
        [
          "circle",
          "circle"
        ],
        [
          "tangent",
          "tangent"
        ],
        [
          "plane",
          "plane"
        ]
      ],
      "raw_glosses": [
        "(geometry) The problem, in Euclidean plane geometry, of constructing circles that are tangent to three given circles in a plane."
      ],
      "synonyms": [
        {
          "word": "Apollonius's problem"
        },
        {
          "word": "Apollonian problem"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "problem of Apollonius"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-09-16 from the enwiktionary dump dated 2026-09-02 using wiktextract (d6fca27 and 65e1673). 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.

"problem of Apollonius" meaning in English

Proper name