{
  "contentStorage": "postgres",
  "title": "刘徽",
  "description": "刘徽（225年—295年），曹魏、西晋人物。",
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  "entity": {
    "id": "person_cn_q316304",
    "type": "person",
    "title": "刘徽",
    "slug": "liu-hui",
    "aliases": [
      "Liu Hui"
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    "summary": "刘徽（225年—295年），曹魏、西晋人物。",
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        "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": "2026-10-29T17:14:06+08:00",
    "updatedBy": "user:admin",
    "revision": 6,
    "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]",
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    "fallback": true,
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    "birth": {
      "year": 225,
      "display": "225年"
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    "death": {
      "year": 295,
      "display": "295年"
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    "occupations": [
      "数学家"
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    "nativePlace": "淄博市",
    "personCategory": "历史人物"
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  "tags": [
    {
      "id": "tag-ancient-china",
      "slug": "ancient-china",
      "name": "China purba",
      "description": "Sejarah, tokoh dan bahagian pentadbiran dari zaman pra-Qin hingga Dinasti Qing.",
      "names": {
        "ar": "الصين القديمة",
        "de": "Das alte China",
        "en": "Ancient China",
        "es": "China antigua",
        "fr": "Chine ancienne",
        "hi": "प्राचीन चीन",
        "id": "Tiongkok kuno",
        "it": "Cina antica",
        "ja": "中国古代",
        "ko": "중국 고대",
        "ms": "China purba",
        "nl": "Het oude China",
        "pt": "China antiga",
        "ru": "Древний Китай",
        "th": "จีนโบราณ",
        "tr": "Antik Çin",
        "vi": "Trung Quốc cổ đại",
        "zh": "中国古代",
        "zh-hant": "中國古代"
      },
      "descriptions": {
        "ar": "التاريخ والشخصيات والتقسيمات الإدارية من عصر ما قبل تشين إلى أسرة تشينغ.",
        "de": "Geschichte, Personen und Verwaltungsgliederung von der Zeit vor Qin bis zur Qing-Dynastie.",
        "en": "History, people and administrative divisions from the pre-Qin era to the Qing dynasty.",
        "es": "Historia, personajes y divisiones administrativas desde la era pre-Qin hasta la dinastía Qing.",
        "fr": "Histoire, personnages et divisions administratives de l'époque pré-Qin à la dynastie Qing.",
        "hi": "चिन-पूर्व काल से चिंग राजवंश तक का इतिहास, व्यक्ति और प्रशासनिक विभाजन।",
        "id": "Sejarah, tokoh, dan pembagian administratif dari era pra-Qin hingga Dinasti Qing.",
        "it": "Storia, personaggi e divisioni amministrative dall'epoca pre-Qin alla dinastia Qing.",
        "ja": "先秦から清代までの歴史・人物・行政区画。",
        "ko": "先秦부터 청대까지의 역사·인물·행정 구역.",
        "ms": "Sejarah, tokoh dan bahagian pentadbiran dari zaman pra-Qin hingga Dinasti Qing.",
        "nl": "Geschiedenis, personen en bestuurlijke indeling van de pre-Qin-periode tot de Qing-dynastie.",
        "pt": "História, personagens e divisões administrativas da era pré-Qin até à dinastia Qing.",
        "ru": "История, персоналии и административное деление от доциньской эпохи до династии Цин.",
        "th": "ประวัติศาสตร์ บุคคล และเขตการปกครองตั้งแต่ยุคก่อนฉินจนถึงราชวงศ์ชิง",
        "tr": "Qin öncesi dönemden Qing hanedanına kadar tarih, kişiler ve idari bölümler.",
        "vi": "Lịch sử, nhân vật và đơn vị hành chính từ thời Tiền Tần đến nhà Thanh.",
        "zh": "先秦至清代的历史、人物与政区。",
        "zh-hant": "先秦至清代的歷史、人物與政區。"
      },
      "count": 1095
    }
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      "revision": 6,
      "updatedAt": "2026-10-29T17:14:06+08:00",
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      "key": "native_place",
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