"Apollonian circle" meaning in English

{
  "forms": [
    {
      "form": "Apollonian circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Apollonian circle (plural Apollonian 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": "topical",
          "langcode": "en",
          "name": "Circle",
          "orig": "en:Circle",
          "parents": [
            "Curves",
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Curves",
          "orig": "en:Curves",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any circle in two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa."
      ],
      "id": "en-Apollonian_circle-en-noun-I1nUJ1SD",
      "links": [
        [
          "geometry",
          "geometry"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any circle in two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "two families of circles",
          "tags": [
            "feminine"
          ],
          "word": "Apolloniova kružnice"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "two families of circles",
          "word": "Kreis des Apollonios"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "two families of circles",
          "word": "apollonischer Kreis"
        },
        {
          "code": "el",
          "lang": "Greek",
          "roman": "apollónios kýklos",
          "sense": "two families of circles",
          "tags": [
            "masculine"
          ],
          "word": "απολλώνιος κύκλος"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "two families of circles",
          "word": "Apollóniusz-kör"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "two families of circles",
          "tags": [
            "Brazil",
            "masculine"
          ],
          "word": "círculo de Apolônio"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "two families of circles",
          "tags": [
            "masculine"
          ],
          "word": "círculo de Apolonio"
        }
      ]
    }
  ],
  "word": "Apollonian circle"
}

{
  "forms": [
    {
      "form": "Apollonian circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Apollonian circle (plural Apollonian circles)",
      "name": "en-noun"
    }
  ],
  "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",
        "en:Circle",
        "en:Curves",
        "en:Geometry"
      ],
      "glosses": [
        "Any circle in two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ]
      ],
      "raw_glosses": [
        "(geometry) Any circle in two families of circles such that every circle in the first family intersects every circle in the second family orthogonally and vice versa."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "two families of circles",
      "tags": [
        "feminine"
      ],
      "word": "Apolloniova kružnice"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "two families of circles",
      "word": "Kreis des Apollonios"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "two families of circles",
      "word": "apollonischer Kreis"
    },
    {
      "code": "el",
      "lang": "Greek",
      "roman": "apollónios kýklos",
      "sense": "two families of circles",
      "tags": [
        "masculine"
      ],
      "word": "απολλώνιος κύκλος"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "two families of circles",
      "word": "Apollóniusz-kör"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "two families of circles",
      "tags": [
        "Brazil",
        "masculine"
      ],
      "word": "círculo de Apolônio"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "two families of circles",
      "tags": [
        "masculine"
      ],
      "word": "círculo de Apolonio"
    }
  ],
  "word": "Apollonian circle"
}