"imaginary geometry" meaning in English

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  "etymology_text": "Calque of Russian мни́мая геометрия (mnímaja geometrija), coined by mathematician Nicolai Lobachevsky, probably influenced by мни́мое чи́сло (mnímoje číslo, “imaginary number”), although his precise reasoning is unknown.",
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  "lang_code": "en",
  "pos": "noun",
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        {
          "text": "1879, Frederick Pollock, Introduction, Part 1: Biographical, Leslie Stephen, Frederick Pollock (editors), William Kingdon Clifford, Lectures and Essays, Volume 1, Cambridge University Press, page 14,\nHe liked talking about imaginary geometry, as a matter of pure amusement, to anyone interested in it. But at the same time he attached a serious import to it."
        },
        {
          "ref": "2011, Seth Braver, Lobachevski Illuminated, Mathematical Association of America, page 188:",
          "text": "Claim 7. The Euclidean law of cosines holds for any infinitesimal triangle #x5C;triangleABC in imaginary geometry.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes."
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      "id": "en-imaginary_geometry-en-noun-XLv2Yi2x",
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          "Absolute geometry",
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          "parallel postulate",
          "parallel postulate"
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        [
          "Euclidean geometry",
          "Euclidean geometry"
        ],
        [
          "non-Euclidean geometries",
          "non-Euclidean geometry"
        ]
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        "(geometry) Absolute geometry, an axiomatised geometry in which the parallel postulate is absent and not replaced by an alternative, and of which Euclidean geometry and some non-Euclidean geometries are subtypes."
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        {
          "word": "elliptic geometry"
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        {
          "word": "hyperbolic geometry"
        },
        {
          "word": "pangeometry"
        }
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          "word": "geometry with no parallel postulate"
        }
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          "roman": "mnímaja geometrija",
          "sense": "geometry with no parallel postulate — see also absolute geometry",
          "tags": [
            "feminine"
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          "word": "мни́мая геометрия"
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      "wikipedia": [
        "Nicolai Lobachevsky"
      ]
    }
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  "word": "imaginary geometry"
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        },
        {
          "ref": "2011, Seth Braver, Lobachevski Illuminated, Mathematical Association of America, page 188:",
          "text": "Claim 7. The Euclidean law of cosines holds for any infinitesimal triangle #x5C;triangleABC in imaginary geometry.",
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        }
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  "translations": [
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "mnímaja geometrija",
      "sense": "geometry with no parallel postulate — see also absolute geometry",
      "tags": [
        "feminine"
      ],
      "word": "мни́мая геометрия"
    }
  ],
  "word": "imaginary geometry"
}