Li Shanlan

出自全球本体聚合平台

公开 可引用 更新于 2026-09-13

Life

He studied the classics under Chen Huan (陳奐) but was especially fond of mathematics, and in his early years he worked through the older Chinese mathematical literature.[8] In the early Xianfeng period he went to Shanghai, where he collaborated with the Englishman Wei Lieya (偉烈亞力) on a translation of the last nine books of Euclid's Elements (歐幾里得幾何原本) and of the Daweiji shiji (代微積拾級, literally "Principles of Analytic Geometry and the Calculus").[9] In the Tongzhi period he was appointed chief instructor in mathematics at the Tongwen Guan in the capital and received a langzhongship in the Board of Revenue and the third-grade rank of a minister.[10]

His friends included Zeng Guofan (曾國藩), Wang Zhen (汪楨), Xu Youren (徐有壬), Ding Quzhong (丁取忠), Hua Hengfang (華蘅芳), Zhang Wenhu (張文虎), Gu Guanguang (顧觀光), Xu Shou (徐壽), Dai Xu (戴煦) and Qian Xizuo (錢熙祚), as well as Wei Lieya (偉烈亞力), Ai Yuese (艾約瑟) and Wei Lianchen (韋廉臣)[11]; his pupils included Yang Zhaoyun (楊兆鋆) and Xiong Fangbo (熊方柏)[12].

Scholarship and Works

His mathematical writings include the collection Zeguxizhai suanxue (則古昔齋算學) in 24 juan, Duoji bilei (垛積比類, 4 juan), Fangyuan chanyou (方圓闡幽, 1 juan), Duishu tanyuan (對數探源, 2 juan), Duishu jianzhui bianfa shi (對數尖錐變法釋, 1 juan), Jishu huiqiu (級數回求, 1 juan), Siyuan jie (四元解, 3 juan), Linde shu jie (麟德術解, 3 juan), Tuoyuan zhengshu jie (橢圜正術解, 2 juan), Huoqi zhenjue (火器真訣, 1 juan) and Kaoshu genfa (考數根法, 1 juan)[13]. Other works associated with him include Daishuxue (代數學, 13 juan), Tiantian (談天, 18 juan), Zhongxue (重學, 20 juan), Zhiwuxue (植物學, 8 juan) and Xu jihe yuanben (續幾何原本).[14]

AliasesCBDB

  • 壬叔 字
  • 秋紉 室名、別號

StatusCBDB

  • 書法家
  • 數學家

AssociationsCBDB

PersonRelationYears
曾國藩友–
汪楨友–
徐有壬友–
丁取忠友–
華蘅芳友–
張文虎友–
顧觀光友–
徐壽友–
戴煦友–
偉烈亞力友–
艾約瑟友–
錢熙祚友–
韋廉臣友–
陳奐為陳奐之學生–
楊兆鋆學生為楊兆鋆–
熊方柏學生為熊方柏–
張文虎與張文虎遊–

ExaminationsCBDB

RecordRank
學校: 生員(庠生)

WorksCBDB

TitleRoleYearEra
粟米演草:二卷
代微積拾級:十八卷
代數學:十三卷
八線數
則古習齋算學:二十四卷
四元解:三卷
圓錐曲線:三卷
垛積比類:四卷撰著者
天算或問:一卷撰著者
對數尖錐變法釋:一卷撰著者
對數探源:二卷
弧矢啟密:二卷
拾遺:四卷
攷數根法:一卷
數學一歸
新術:一卷
方圓探微
方圓闡幽:一卷撰著者
星命論
曲線說
曲責說:一卷
植物學:八卷
橢圜捷法
橢圜正術解:二卷撰著者
火器真訣:一卷
級數回求:一卷撰著者
續幾何原本
群經算學攷
談天:十八卷
談天附表:一卷
重學:二十卷
麟德術解:三卷撰著者
火器真訣一卷撰著者
談天十八卷附一卷
粟布演草二卷補一卷
弧矢啓祕二卷撰著者
對數探原二卷撰著者
橢圜新術一卷撰著者
橢園拾遺三卷撰著者
四元解二卷撰著者

Citations

  1. [1] Name and dates Li Shanlan was born in 1810 and died in 1884.
    • CBDBLi Shanlan (65735)CBDB records his name as Li Shanlan (李善蘭), born in 1810 and died in 1884.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian gives his name as 李善蘭 and his death year as 1884.
    • WikidataLi Shanlan (Q715748)Wikidata gives his labels as Li Shanlan and 李善蘭.
  2. [2] Dynasty and occupation Li Shanlan was a mathematician of the Qing dynasty, also known for his calligraphy.
    • CBDBLi Shanlan (65735)CBDB places him in the Qing dynasty and lists his statuses as calligrapher and mathematician.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records him as a man of the Qing.
    • WikidataLi Shanlan (Q715748)Wikidata describes him as a Chinese mathematician.
  3. [3] Courtesy name and sobriquet Li Shanlan's courtesy name was Renshu and his sobriquet Qiuren (壬叔 and 秋紉 in Chinese).
    • CBDBLi Shanlan (65735)CBDB gives his courtesy name as Renshu (壬叔) and his sobriquet as Qiuren (秋紉).
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian gives his courtesy name as 壬叔 and his sobriquet as 秋紉, written 秋纫 in its alias list.
    • WikidataLi Shanlan (Q715748)Wikidata lists the aliases Renshu, Qiuren, 壬叔 and 秋紉.
  4. [4] Native place Li Shanlan came from Haining in Zhejiang province.
    • CBDBLi Shanlan (65735)CBDB records his place of origin as Haining Department (海寧州).
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records him as a native of Haining, Zhejiang.
  5. [5] Examination status Li Shanlan held the status of a licentiate (shengyuan, 生員).
  6. [6] Offices He was chief instructor in mathematics at the Tongwen Guan in the capital and held the office of langzhong of the Board of Revenue with the third-grade rank of a minister.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records that in the Tongzhi period he served as chief instructor in mathematics at the Tongwen Guan in the capital and was granted the office of langzhong of the Board of Revenue and the third-grade rank of a minister; the Wanqing yi shihui records his office as langzhong of the Board of Revenue with the added third-grade rank of a minister.
  7. [7] Conflicting dates Sources differ on his dates: his birth year is given as 1810, 1811 or 1814, and his death year as 1882 or 1884.
    • CBDBLi Shanlan (65735)CBDB gives 1810 as his birth year and 1884 as his death year.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian gives his dates as 1814–1884.
    • WikidataLi Shanlan (Q715748)Wikidata records 2 January 1811 as his date of birth and 9 December 1882 as his date of death, and describes him as a Chinese mathematician (1810–1882).
  8. [8] Studies As a young man Li Shanlan studied the classics under Chen Huan and was especially fond of mathematics, devoting his early years to the older Chinese mathematical literature.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records that he studied the classics under Chen Huan as a youth, was especially fond of mathematics, and in his early years worked at the older Chinese mathematical writings.
    • CBDBLi Shanlan (65735)CBDB records him as a pupil of Chen Huan.
  9. [9] Shanghai and translations In the early Xianfeng period he went to Shanghai and collaborated with the Englishman Wei Lieya on translations of the last nine books of Euclid's Elements and of the Daweiji shiji.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records that in the early Xianfeng period he went to Shanghai and, with the Englishman Wei Lieya, translated the last nine books of Euclid's Elements and the Daweiji shiji, the latter rendered literally as "Principles of Analytic Geometry and the Calculus".
    • CBDBLi Shanlan (65735)CBDB lists the Daweiji shiji (代微積拾級) in 18 juan among his works and records Wei Lieya as a friend.
  10. [10] Tongwen Guan appointment In the Tongzhi period he was appointed chief instructor in mathematics at the Tongwen Guan in the capital, receiving a langzhongship in the Board of Revenue and the third-grade rank of a minister.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian records his Tongzhi-period appointment as chief instructor in mathematics at the Tongwen Guan in the capital, with the office of langzhong of the Board of Revenue and the third-grade rank of a minister.
  11. [11] Associates His friends included Zeng Guofan, Wang Zhen, Xu Youren, Ding Quzhong, Hua Hengfang, Zhang Wenhu, Gu Guanguang, Xu Shou, Dai Xu, Qian Xizuo, Wei Lieya, Ai Yuese and Wei Lianchen.
    • CBDBLi Shanlan (65735)CBDB records friendly relations between Li Shanlan and all of the persons named.
  12. [12] Pupils Yang Zhaoyun and Xiong Fangbo were his pupils.
  13. [13] Mathematical writings His mathematical writings include the Zeguxizhai suanxue in 24 juan, the Duoji bilei in 4 juan, the Fangyuan chanyou in 1 juan, the Duishu tanyuan in 2 juan, the Duishu jianzhui bianfa shi in 1 juan, the Jishu huiqiu in 1 juan, the Siyuan jie in 3 juan, the Linde shu jie in 3 juan, the Tuoyuan zhengshu jie in 2 juan, the Huoqi zhenjue in 1 juan and the Kaoshu genfa in 1 juan.
    • CBDBLi Shanlan (65735)CBDB lists these works, giving the collection as 則古習齋算學 in 24 juan and the final title as 攷數根法 in 1 juan.
    • Souyun李善蘭 (64499)The Zhongguo lidai renming da cidian names the Zeguxizhai suanxue (則古昔齋算學) and the Kaoshu genfa (考數根法) among his other writings.
  14. [14] Other works Other works associated with him include the Daishuxue in 13 juan, the Tiantian in 18 juan, the Zhongxue in 20 juan, the Zhiwuxue in 8 juan and the Xu jihe yuanben.
    • CBDBLi Shanlan (65735)CBDB lists the Daishuxue (代數學, 13 juan), Tiantian (談天, 18 juan), Zhongxue (重學, 20 juan), Zhiwuxue (植物學, 8 juan) and Xu jihe yuanben among his works.