"homothecy" meaning in English

{
  "forms": [
    {
      "form": "homothecies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homothecy (plural homothecies)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
        },
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          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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          "source": "w"
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      ],
      "examples": [
        {
          "ref": "1950, Duke Mathematical Journal, Duke University Press, page 76",
          "text": "Let us determine the center and the ratio of this homothecy.",
          "type": "quotation"
        },
        {
          "ref": "1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720",
          "text": "The restriction of B to S_b is a homothecy of scale b.",
          "type": "quotation"
        },
        {
          "ref": "2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161",
          "text": "Proposition 7.4 Homothecies preserve circles. That is, for any homothecy h and any circle C, h(C) is a circle as well.[…]Were we willing to do the same with homothecies, we would meet an obstruction: the composition of two homothecies is not necessarily a homothecy.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A homothetic transformation."
      ],
      "id": "en-homothecy-en-noun-Ww2Kg9cG",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "homothetic",
          "homothetic"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "raw_glosses": [
        "(geometry) A homothetic transformation."
      ],
      "synonyms": [
        {
          "sense": "type of transformation",
          "word": "homogeneous dilation"
        },
        {
          "sense": "type of transformation",
          "word": "homothety"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homothetic transformation"
      ]
    }
  ],
  "word": "homothecy"
}

{
  "forms": [
    {
      "form": "homothecies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homothecy (plural homothecies)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
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        "en:Geometry"
      ],
      "examples": [
        {
          "ref": "1950, Duke Mathematical Journal, Duke University Press, page 76",
          "text": "Let us determine the center and the ratio of this homothecy.",
          "type": "quotation"
        },
        {
          "ref": "1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720",
          "text": "The restriction of B to S_b is a homothecy of scale b.",
          "type": "quotation"
        },
        {
          "ref": "2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161",
          "text": "Proposition 7.4 Homothecies preserve circles. That is, for any homothecy h and any circle C, h(C) is a circle as well.[…]Were we willing to do the same with homothecies, we would meet an obstruction: the composition of two homothecies is not necessarily a homothecy.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A homothetic transformation."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "homothetic",
          "homothetic"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "raw_glosses": [
        "(geometry) A homothetic transformation."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homothetic transformation"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "type of transformation",
      "word": "homogeneous dilation"
    },
    {
      "sense": "type of transformation",
      "word": "homothety"
    }
  ],
  "word": "homothecy"
}