"homothetically" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homothetic",
        "3": "ally"
      },
      "expansion": "homothetic + -ally",
      "name": "suffix"
    }
  ],
  "etymology_text": "homothetic + -ally",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "homothetically (not comparable)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -ally",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Qiang Guang, Jonathan J. Zhu, “Rigidity and Curvature Estimates for Graphical Self-shrinkers”, in arXiv",
          "text": "Self-shrinkers are hypersurfaces that shrink homothetically under mean curvature flow; these solitons model the singularities of the flow.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "In a homothetic manner."
      ],
      "id": "en-homothetically-en-adv-IzwU5dNA",
      "links": [
        [
          "homothetic",
          "homothetic"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "homothetically"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "homothetic",
        "3": "ally"
      },
      "expansion": "homothetic + -ally",
      "name": "suffix"
    }
  ],
  "etymology_text": "homothetic + -ally",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "homothetically (not comparable)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        "English adverbs",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms suffixed with -ally",
        "English terms with quotations",
        "English uncomparable adverbs"
      ],
      "examples": [
        {
          "ref": "2015, Qiang Guang, Jonathan J. Zhu, “Rigidity and Curvature Estimates for Graphical Self-shrinkers”, in arXiv",
          "text": "Self-shrinkers are hypersurfaces that shrink homothetically under mean curvature flow; these solitons model the singularities of the flow.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "In a homothetic manner."
      ],
      "links": [
        [
          "homothetic",
          "homothetic"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "homothetically"
}