"Japanese theorem" meaning in English

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      "expansion": "the Japanese theorem",
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      "glosses": [
        "A theorem stating that, no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the sum of inradii is independent of the triangulation, then the polygon is cyclic."
      ],
      "id": "en-Japanese_theorem-en-name-UmKNlA6r",
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          "inradii",
          "inradius"
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          "triangle",
          "triangle"
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          "constant",
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      "glosses": [
        "A theorem stating that the centers of the incircles of certain triangles inside a cyclic quadrilateral are vertices of a rectangle."
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      "id": "en-Japanese_theorem-en-name-2KXHkBPE",
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        [
          "center",
          "center"
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          "incircle",
          "incircle"
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          "quadrilateral",
          "quadrilateral"
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          "rectangle",
          "rectangle"
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  "word": "Japanese theorem"
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      "form": "the Japanese theorem",
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  "senses": [
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      "glosses": [
        "A theorem stating that, no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the sum of inradii is independent of the triangulation, then the polygon is cyclic."
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          "inradius"
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        "A theorem stating that the centers of the incircles of certain triangles inside a cyclic quadrilateral are vertices of a rectangle."
      ],
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          "center",
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          "incircle",
          "incircle"
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          "rectangle"
        ]
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  "word": "Japanese theorem"
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    "Japanese theorem"
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  "title": "Japanese theorem",
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