{
  "contentStorage": "postgres",
  "title": "刘徽 · Beziehungen",
  "description": "刘徽（225年—295年），曹魏、西晋人物。",
  "url": "/de/people/liu-hui-q316304/relation.html",
  "entity": {
    "id": "person_cn_q316304",
    "type": "person",
    "title": "刘徽",
    "slug": "liu-hui-q316304",
    "aliases": [
      "Liu Hui"
    ],
    "summary": "刘徽（225年—295年），曹魏、西晋人物。",
    "status": "published",
    "categories": [
      "category-history"
    ],
    "tags": [
      "tag-ancient-china"
    ],
    "sources": [
      {
        "id": "wikidata",
        "title": "Wikidata Q316304",
        "url": "https://www.wikidata.org/wiki/Q316304"
      },
      {
        "id": "zhwiki",
        "title": "刘徽（维基百科）",
        "url": "https://zh.wikipedia.org/wiki/%E5%88%98%E5%BE%BD"
      }
    ],
    "createdAt": "2026-10-25T00:00:00+08:00",
    "updatedAt": "2026-10-29T01:57:49+08:00",
    "updatedBy": "user:admin",
    "revision": 3,
    "body": "## 生平\n\n刘徽，魏晋时期数学家，正史和其他史籍中都没有他的传记，生卒年与生平事迹大多不详。[^zhwiki]\n\n从《九章算术注》自序可知，刘徽曾在洛阳立表测影，可能参加过历法讨论并进行过天文测量。魏景元四年（263年），他为《九章算术》作注十卷。关于他的籍贯，学者据《宋史·礼志》所载封爵“魏刘徽淄乡男”，推测他是山东人，但淄乡故地有邹平、淄川等不同说法，尚无定论；也有学者推测他出自汉梁敬王刘定国之后，这些都出于后世考证，并非史籍明载。[^zhwiki]\n\n## 历史成就\n\n刘徽的数学成就集中在《九章算术注》中。他提出割圆术，从圆内接正六边形开始逐次倍增边数逼近圆周，先算得圆周率近似值157/50（即3.14），再以捷法求得3927/1250（即3.1416）。[^zhwiki] 他以“出入相补”原理为面积、体积计算提供证明方法，并为勾股定理另作证明；他又指出《九章算术》计算球体积的方法有误，提出“牟合方盖”模型，为后世祖冲之父子求出球体积公式奠定了基础。[^zhwiki] 此外，他创立重差术，以多次观测测量山高水深，相关注文后来被抽出单行，题为《海岛算经》，列入唐代《算经十书》。[^zhwiki]\n\n## 基本信息\n\n- 所属朝代或国家：曹魏、西晋[^wikidata]\n- 出生地：[[place_cn_370300|淄博市]][^wikidata]",
    "url": "/people/liu-hui-q316304.html",
    "lang": "de",
    "fallback": true,
    "availableLangs": [
      "zh",
      "en"
    ],
    "birth": {
      "year": 225,
      "display": "225年"
    },
    "death": {
      "year": 295,
      "display": "295年"
    },
    "occupations": [
      "数学家"
    ],
    "nativePlace": "淄博市",
    "personCategory": "历史人物"
  },
  "entities": null,
  "relations": [
    {
      "id": "relation_cnpeople_born_q316304",
      "fromId": "person_cn_q316304",
      "relationType": "born_in",
      "toId": "place_cn_370300",
      "sourceRefs": [
        {
          "entityId": "person_cn_q316304",
          "sourceId": "wikidata"
        }
      ],
      "label": "Born in",
      "targetId": "place_cn_370300",
      "targetTitle": "淄博市",
      "targetUrl": "/de/places/zibo-370300.html",
      "incoming": false
    }
  ],
  "relationGroups": [
    {
      "type": "born_in",
      "label": "Born in",
      "items": [
        {
          "id": "relation_cnpeople_born_q316304",
          "fromId": "person_cn_q316304",
          "relationType": "born_in",
          "toId": "place_cn_370300",
          "sourceRefs": [
            {
              "entityId": "person_cn_q316304",
              "sourceId": "wikidata"
            }
          ],
          "label": "Born in",
          "targetId": "place_cn_370300",
          "targetTitle": "淄博市",
          "targetUrl": "/de/places/zibo-370300.html",
          "incoming": false
        }
      ]
    }
  ],
  "lang": "de",
  "availableLangs": [
    "zh",
    "en"
  ],
  "fallback": true,
  "infoFields": [
    {
      "key": "birth_date",
      "label": "Birth",
      "value": "225年"
    },
    {
      "key": "death_date",
      "label": "Death",
      "value": "295年"
    },
    {
      "key": "native_place",
      "label": "Native place",
      "value": "淄博市"
    },
    {
      "key": "person_category",
      "label": "Person category",
      "value": "历史人物"
    },
    {
      "key": "occupations",
      "label": "Occupations",
      "value": "数学家"
    }
  ],
  "pagination": {
    "page": 1,
    "pageSize": 50,
    "total": 1,
    "pageCount": 1
  },
  "relationsTotal": 1
}