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Books on Astronomy and Mathematics (tianwen suanfa lei 天文算法類) is a subcategory in traditional Chinese bibliographies and part of the category of Masters and Philosophers (zibu 子部). The section as presented in the reprint series Siku quanshu 四庫全書 is divided into treatises on astronomy (tuibu 推步), including 31 books, and treatises on mathematics (suanshu 算書), including 25 books. A few book have been compiled by Western scientists, like the Jesuit missionary Matteo Ricci (Chinese name Li Madou 利瑪竇), Emmanuel Diaz (Yang Manuo 陽瑪諾), Sabatino de Ursis (Xiong Sanba 熊三拔) or Jean-Nicolas Smogolenski (Mu Nige 穆尼閣). The most famous books are the ancient astronomical treatise Zhoubi suanjing 周髀算經, the Jihe yuanben 幾何原本, a book on Western geometry, and the corpus of the ten ancient mathematical classics (suanjing shishu 算經十書).
Part of Siku quanshu 四庫全書 | ||
Part of Xuxiu siku quanshu 續修四庫全書 |
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推步之屬 tuibu Astronomy |
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| 夏小正 | Xia xiaozheng → part of Da Dai Liji 大戴禮記 | (Zhou) NN |
| 石氏星經 | Shishi xingjing → Divination | (Zhou) 石申 Shi Kun |
| 周髀算經 二卷 | Zhoubi suanjing | (Han) 趙君卿 Zhao Junqing (?; comm.); (Northern Zhou) 甄鸞 Zheng Luan (arr.); (Tang) 李淳風 Li Chunfeng (comm.) |
| 步天歌 | Butian ge | (Tang) NN |
| 開元占經 | Kaiyuan zhanjing → Divination | (Tang) 瞿曇悉達 Qutan Xida |
| 新儀象法要 三卷 | Xin yixiang fayao | (Song) 蘇頌 Su Song |
| 六經天文編 二卷 | Liujing tianwen bian | (Song) 王應麟 Wang Yinglin |
| 原本革象新書 五卷 重修革象新書 二卷 |
Yuanben gexiang xinshu Chongxiu gexiang xinshu |
(Yuan) 趙友欽 Zhao Youqin (Ming) 王禕 Wang Yi (rev.) |
| 七政推步 七卷 | Qizheng tuibu | (Ming) 貝琳 Bei Lin (comp.) |
| 聖壽萬年曆 八卷 (附)律曆融通 四卷 |
Shengshou wannian li (app.) Lüli rongtong |
(Ming) 朱載堉 Zhu Zaiyu (comp.) |
| 古今律曆考 七十二卷 | Gujin lüli kao | (Ming) 邢雲路 Xing Yunlu |
| 乾坤體義 三卷 | Qiankun tiyi | (Ming) 利瑪竇 Li Madou (Matteo Ricci) |
| 表度說 一卷 | Biaodushuo | (Ming) 熊三拔 Xiong Sanba (Sabatino de Ursis; narr.), Zhou Ziyu 周子愚 (rec.) |
| 簡平儀說 一卷 | Jianping yishuo | (Ming) 熊三拔 Xiong Sanba (Sabatino de Ursis) |
| 天問略 一卷 | Tianwenlüe | (Ming) 陽瑪諾 Yang Manuo (Manuel Dias) |
| 新法算書 百卷 | Xinfa suanshu | (Ming) 徐光啟 Xu Guangqi, et al. |
| 測量法義 一卷 測量異同 一卷 句股義 一卷 |
Celiang fayi Celiang yitong Gouguyi |
(Ming) 徐光啟 Xu Guangqi |
| 渾蓋通憲圖說 二卷 | Hungai tongxian tushuo | (Ming) 李之藻 Li Zhizao |
| 圜容較義 一卷 | Huanrong jiaoyi | (Ming) 李之藻 Li Zhizao |
| 歷體略 三卷 | Litilüe | (Ming) 王英明 Wang Yingming |
| (御製)曆象考成 四十二卷 | (Yuzhi) Lixiang kaocheng | (Qing) imp. ord. |
| 疇人傳 | Chourenzhuan → Biographies | (Qing) 阮元 Ruan Yuan |
算書之屬 suanshu Mathematics |
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算經十書 Suanjing shishu The Ten Books of Mathematics |
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| 九章算術 九卷 | Jiuzhang suanshu | (Jin) 劉徽 Liu Hui (comm.); (Tang) 李淳風 Li Chunfeng (comm.) |
| 孫子算經 三卷 | Sunzi suanjing | () NN |
| 數術記遺 一捲 | Shushu jiyi | (Han) 徐岳 Xu Yue (?); (Northern Zhou) 甄鸞 Zheng Luan (comm.) |
| 海島算經 一卷 | Haidao suanjing | (Jin) 劉徽 Liu Hui; (Tang) 李淳風 Li Chunfeng (comm.) |
| 五曹算經 五卷 | Wucao suanjing | () NN |
| 五經算術 二卷 | Wujing suanshu | (Northern Zhou) 甄鸞 Zheng Luan; (Tang) 李淳風 Li Chunfeng (comm.) |
| 夏侯陽算經 三卷 | Xiahou Yang suanjing | () 夏侯陽 Xiahou Yang; (Northern Zhou) 甄鸞 Zheng Luan (comm.) |
| 張邱建算經 三卷 | Zheng Qiujian suanjing | () 張邱建 Zheng Qiujian; (Northern Zhou) 甄鸞 Zheng Luan (comm.) |
| 緝古算經 一卷 | Jigu suanjing | (Tang) 王孝通 Wang Xiaotong |
others |
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| 數學九章 十八卷 | Shuxue jiuzhang | (Song) 秦九韶 Qin Jiushao |
| 測圓海鏡 十二卷 | Ceyuan haijing | (Yuan) 李治 Li Zhi |
| (御製) 數理精蘊 五十三卷 | (Yuzao) Shuli jingyun | (Qing) imp. ord. |
* not included in the series Siku quanshu 四庫全書, the catalogue Siku quanshu zongmu tiyao 四庫全書總目題要, nor the Xuxiu siku quanshu 續修四庫全書. |
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