ChinaKnowledge.de -
An Encyclopaedia on Chinese History and Literature

Lisuan quanshu 曆算全書

Mar 17, 2025 © Ulrich Theobald

Lisuan quanshu 曆算全書 is a book on calendric calculations compiled during the high Qing period 清 (1644-1911) by Mei Wending 梅文鼎 (1633-1721), courtesy name Dingjiu 定九, style Wu'an 勿庵, from Xuancheng 宣城, Anhui.

He compiled more than 80 writings on astronomy and mathematics, among others, Mingshi lizhi nigao 明史曆志擬稿, Lizhi zhuiyan 曆志贅言, Lixue yiwen 曆學疑問, Gujin lifa tongkao 古今曆法通考, Ping sanjiao juyao 平三角舉要, Hu sanjiao juyao 弧三角舉要, Jihe bubian 幾何補編, Qiandu celiang 塹堵測量, Jihe tongshi 幾何通解, Huanzhong shuchi 環中黍尺, Lixue pianzhi 曆學駢枝, Hu'an lisuan shumu 勿庵曆算書目, Datong lizhi 大統曆志, Wu'an lisuan shuji 勿菴曆算書記, Zhong-Xi jingxing tongyi kao 中西經星同異考, Da Li Cibu wen li 答李祠部問曆, Qishi'er hou taiyang weidu 七十二候太陽緯度, Xie libu lifa 寫曆步曆法, Shibu jiaoshi shi 時步交食式 and Bu wuxing shi 步五星式.

The Lisuan quanshu has a length of 62 juan. Is it a collection of 29 writings of Mei, with texts on calendrical science placed at the front and such on mathematics at the back. The calendrical part can be divided into theoretical texts and such on calculation. However, the sequence of texts differs in the relevant editions. The following table of contents follows the Jianji Hall edition 兼濟堂 (Master Wei from Baixiang 柏郷魏氏) from the Yongzheng reign-period 雍正 (1723-1735):

Table 1. Mei Wending's 梅文鼎 collection Lisuan quanshu 曆算全書
三角法擧要 五卷 Sanjiaofa juyao
諸方節氣加時日軌高度表 一卷 Zhufang jieqi jiashi rigui gaodu biao
句股闡微 四卷 Gougu chanwei (with a supplement by Yang Zuomei 楊作枚)
五星紀要 一卷 Wuxing jiyao
弧三角擧要 五卷 Hu sanjiao juyao
火星本法 一卷 Huoxing benfa
環中黍尺 六卷 Huanzhong suchi
七政細草補註 一卷 Qizheng xicao buzhu
壍堵測量 二卷 Qiandu celiang
仰儀簡儀二銘補註 一卷 Yangyi jianyi er ming buzhu
方圓冪積 一卷 Fangyuan miji
曆學駢枝 四卷 Lixue pianzhi
幾何補編 五卷 Jihe bubian
授時平立定三差詳說 一卷 Shoushi pingli ding san cha xiangshuo
解八線割圓之根 一卷 Jie baxian geyuan zhi gen
曆學答問 一卷 Lixue dawen
歷學疑問 三卷
補 二卷
Lixue yiwen
Bu
古算衍略 一卷 Gusuan yanlüe
交會管見 一卷 Jiaohui guanjian
筆算 五卷 Bisuan
交食蒙求 三卷 Jiaoshi mengqiu
籌算 七卷 Chousuan
揆日候星紀要 一卷 Kuiri houxing jiyao
度算釋例 二卷 Dusuan shili
歲周地度合攷 一卷 Suizhou didu hekao
方程論 六卷 Fangcheng lun
冬至攷 一卷 Dongzhi kao
少廣拾遺 一卷 Shaoguang shiyi

The collection is also included in the series Meishi congshu jiyao 梅氏叢書輯要 and Siku quanshu 四庫全書.

Sources:
Feng Lisheng 馮立升, and Wang Hailin 王海林. 2005. "Meishi lisuan quanshu zai Riben de liuchuan he yingxiang 《梅氏曆算全書》在日本的流傳和影響." Xibei Daxue xuebao (Ziran kexue ban) 西北大學學報(自然科學版)2005(06):827-830.
Jami, Catherine. 1994. "History of Mathematics in Mei Wending's (1633-1721) Work." Historia Scientiarum 4 (2): 159–74.
Li Xueqin 李學勤, and Lü Wenyu 呂文郁, eds. 1996. Siku da cidian 四庫大辭典, vol. 2, 1738. Changchun: Jilin daxue chubanshe.
Martzloff, Jean Claude. 1980. "Note sur ‘L'explication générale de la géométrie’ Jihé Tongjie de Méi Wénding (1633-1721)." China Mission Studies 2: 3–12.
Martzloff, Jean Claude. 1981a. "La géométrie Euclidienne selon Mei Wending." Historia Scientiarum 21: 27–42.
Martzloff, Jean-Claude. 1981b. Recherches sur l'œuvre mathématique de Méi Wénding, 1633-1721. Paris: Collège de France, Institut des hautes études chinoises.