Subject: Mathematics--China--Early works to 1800

Biaodu shuo 表度說. [Jap-Sin II, 62]
AuthorDe Ursis, Sabatino 熊三拔, 1575–1620
Place---
Publisher---
CollectionRicci Institute Library
Edition
LanguageChinese 中文
TypeBook (Text in Collection)
Series
ShelfDigital Archives, Case X
Call NumberBX880.L5 1965x
Description1 juan. (v.5, p.2523-2618)
NoteIn: [TXCH, vol. 5, pp. 2523-2618]
For full bibliographic and textual citation see: Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database).

JapSin II, 62
Biaodu shuo 表度說.
Transmitted orally by Xiong Sanba 熊三拔 (Sabatino de Ursis) and written down by Zhou Ziyu 周子愚 and Zhuo Erkang 卓爾康.
One juan. Bamboo paper in one ce with a paper case. No date or place of publication.

The cover bears a label with the title and a Latin inscription: “De Gnomonica | a p. Sabbathinus | de Ursis S.J.”
There is a preface (five and one-half folios) by Li Zhizao 李之藻 (Hangzhou). A second preface (three folios), dated 1614 (Wanli 42), by Zhou Ziyu of Cishui 慈水, at the end of which there are two wooden carved seals in cursive style: 古太史氏 and 周子愚印. Instead of the preface of Li Zhizao, Hsü Tsung-tse (1949, p. 283–284) reproduces the preface of Xiong Mingyu 熊明遇 (jinshi of 1601), which is not found in our copy.
Folio 1 gives the title, the author and collaborators (Zhou and Zhuo): 泰西熊三拔口授,慈水周子愚,武林卓爾康筆記. There are ten columns in each half folio with twenty-two characters to each column. The title of the book is given in the middle of each folio and the number of the folio below the fish-tail. The main text consists of forty folios, and contains tables and illustrations.
The book, which deals with the gnomon, is included in the Tianxue chuhan and was later copied into the Imperial Library, the Siku quanshu. Both the Huang-Qing jingjie 皇清經解 and the Chourenzhuan 疇人傳 make reference to it.

Cf. Pfister, p. 105, no. 3; Feng 1938, p. 125; Hsü 1949, pp. 281–284; SKTY 3:2180–2181; Courant 4903; Couplet, p. 13; DMB 2:1332.

Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, p. 368.

Euclid in China : the genesis of the first Chinese translation of Euclid's Elements, books I-VI (Jihe yuanben, Beijing, 1607) and its reception up to 1723
AuthorEngelfriet, Peter M.
PlaceLeiden
PublisherBrill
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeBook, Digital Book (PDF)
SeriesSinica Leidensia ; 40
ShelfHallway Cases, Digital Archives
Call NumberQA31.E8753 1998
Descriptionxii, 488 p. : ill. ; 25 cm. + pdf
Note

Euclid in China : the genesis of the first Chinese translation of Euclid's Elements, books I-VI (Jihe yuanben, Beijing, 1607) and its reception up to 1723 / by Peter M. Engelfriet.
Includes bibliographical references (p. [467]-482) and index.

Ch. 1. Introduction. Pt. I From Rome to Beijing.
Ch. 2. Mathematics in Jesuit Context: A. The educational mission. Ricci’s pre-mathematical education. B. Clavius’ promotion of the mathematical sciences. Introduction of the Elements. Opposition against mathematics. C. Mathematics in Aristotelian context. Quantity. The Syllogism. D. The "School of Clavius": Ricci’s mathematical training. Limitations of Jesuit mathematics.
Ch. 3. Matteo Ricci and Xu Guangqi in Late Ming Society. A. Matteo Ricci: from Macao to Beijing. B. Calendar reform and a possible earlier translation of Euclid. C. Xu Guangqi’s background. D. Some aspects of intellectual life during the Ming: the cultural environment – Neo-Confucian concepts relevant to science – Diagrams and charts. E. Mathematics during the Ming.
Pt. II The Translation.
Ch. 4. Clavius' 1574 Edition. Preliminary remarks. B. Transmission of the Elements. Arabic translations and Latin middle ages – Renaissance. C. Clavius’ edition. D. Theory of proportions. Clavius versus Commandino: a point of divergence. E. Postulates, axioms and constructions.
Ch. 5. The Jihe yuanben. Editions. Terminology and language. Definitions, axioms and postulates. (Book I-VI).
Appendix to Ch. 5. The Enunciations of all Propositions.
Pt. III Reception and Influence: Ch. 6 Mathematics in the Service of the Dynasty. Xu Guangqi’s preface, Researches into traditional mathematics, books on "forms and numbers". Yuanrongjiao yi : Tongwen suanzhi : The year 1616. The period 1620-1635. Qiqi tushuo ; Jihe yaofa : Calendar reform : Celiang quanyi.
Ch. 7 The Ming-Qing Transition. A. Brief historical survey. B. Chinese cosmology and Western science - Xiong Mingyu - The Fang family. C. "Expansion of Numbers and magnitudes" : the Jihe yue. D. Between Ming and Qing: Huang Zongxi - Lu Shiyi - Wang Xichan.
Ch. 8 Three Scholar-Mathematicians of the Late Seventeenth Century: A. Li Zijin. B. Du Zhigeng: the Jihe lunyue. C. Mei Wending: life till 1700 - Euclidean geometry explained by Gougu - extension to three dimensional space - Views on Mathematics.
Ch. 9 The Royal Road: A. Kangxi Emperor. B. New "Elements". C. Shuli jingyun and beyond.
Ch. 10 Conclusion. App. 1: Preface by Matteo Ricci. App. 2: Preface by Wu Xuehao . Abbreviations – Bibliography – Index.

Local access dig.pdf. [Euclid in China.pdf]

ISBN9789004109445 ; 9004109447
LCCN98010589
Jiuzhang suanshu 九章算術
AuthorLiu Hui 劉徽, 3rd/4th cent.Li Chunfeng 李淳風 [李湻風], 602-670
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition初版
LanguageChinese 中文
TypeBook (Text in Collection)
SeriesCongshu jicheng chubian 叢書集成初編 ; 1263
ShelfAdmin. Office Gallery
Call NumberAC149.T76 1935 v. 1263
Description2, 2, 2, 189 p. : ill. ; 17.5 cm.
NoteJiuzhang suanshu 九章算術 / Liu Hui zhu 劉徽注 ; Li Chunfeng zhushi 李湻[i.e. 淳]風注釋.
T.p. and colophon use variant "Chun 湻" {U+6E7B}. "淳"is LC authorized form.
民國25 [1936].
Oujilide Jihe yuanben yanjiu lunwenji 歐幾里德幾何原本研究論文集
AuthorModeletu 莫德勒圖Zhu Enkuan 朱恩寬
PlaceHulunbei’er Shi 呼倫貝爾市
PublisherNei Menggu wenhua chubanshe 內蒙古文化出版社
CollectionRicci Institute Library
Edition第1版
LanguageChinese, English
TypeBook (Proceedings)
Series
ShelfHallway Cases
Call NumberQA31.E8612 2006
Description2, 348 p. : ill. ; 21 cm.
NoteOujilide Jihe yuanben yanjiu lunwenji 歐幾里德幾何原本研究論文集 / Mode, Zhu Enkuan zhubian 莫德, 朱恩寬主編.
Includes bibliographic references.
In Chinese, with one essay in English: Xu Yibao 徐義保: "The first Chinese translation of the last nine books of Euclid's Elements and its source" (Henry Billingsley edition).
Editor 'Mode 莫德' previous use: Modeletu 莫德勒圖. Cf. 1987 呼和浩特 Mongolian ed.
"內蒙古師范大學科學學史與科技管理學院, 陜西師范大學數學與信息科學學院資助出版"--t.p.
ISBN7805063222
sea island mathematical manual : surveying and mathematics in ancient China. [Haidao suanjing 海島算經. English]
AuthorLiu Hui 劉徽, 3rd/4th cent.Swetz, Frank J., 1937-
PlaceUniversity Park, PA
PublisherPennsylvania State University Press
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeDigital Book (PDF)
Series
ShelfDigital Archives
Call NumberTA527.C6 S94 1992
Descriptiondig.pdf. [xi, 73 p. : ill. ; 23 cm.]
NoteThe sea island mathematical manual : surveying and mathematics in ancient China / Frank J. Swetz.
An annotated translation and discussion of Liu Hui's Haidao Suanjing (Sea island mathematical manual), written in 263 A.D.
Includes bibliographical references (p. [67]-70) and index.
Local access dig.pdf. [Swetz-Sea Island Math.pdf]
ISBN0271007958 ; 9780271007953
LCCN91013002
Shuli jingyun 數理精蘊
AuthorKangxi 康熙, Emperor of China, 1654-1722
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionRicci Institute Library
Edition初版
LanguageChinese 中文
TypeBook
SeriesGuoxue jiben congshu 國學基本叢書
ShelfHallway Cases
Call NumberQA27.C5 S78 1936
Description3 v. (11, 1659 p.) : ill. ; 18 cm.
NoteShuli jingyun 數理精蘊 / Qing Shengzu qibian 清聖祖敕編.
Published: 民國25 [1936].
Shuxue 數學. Xu Shuxue 續數學
AuthorJiang Yong 江永, 1681-1762
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition初版
LanguageChinese 中文
TypeBook (Text in Collection)
SeriesCongshu jicheng chubian 叢書集成初編 ; 1328-1329
ShelfAdmin. Office Gallery
Call Number1328-1329
Description2 v. (4, 415 p.) : ill. ; 17.5 cm.
NoteShuxue : fu Xu Shuxue 數學 : 附續數學 / Jiang Yong zhuan 江永撰.
民國25 [1936].
Zhoubi suanjing : fu yinyi 周髀算經 : 附音義. Zhoubi suanjing shu 周髀算經述
AuthorZhen Luan 甄鸞Zhao Shuang 趙爽Feng Jing 馮經, juren 1770
PlaceShanghai 上海
PublisherShangwu yinshuguan 商務印書館
CollectionBibl. Sinensis Soc. Iesu
Edition初版
LanguageChinese 中文
TypeBook (Text in Collection)
SeriesCongshu jicheng chubian 叢書集成初編 ; 1262
ShelfAdmin. Office Gallery
Call NumberAC149.T76 1935 v. 1262
Description132 p. in various pagings : ill. ; 17.5 cm.
NoteZhoubi suanjing : fu yinyi 周髀算經 : 附音義 / Zhao Junqing zhu 趙君卿注 ; Zhen Luan chongshu 甄鸞重述 ; Li Chunfeng shi 李淳風釋. Zhoubi suanjing shu 周髀算經述 / Feng Jing zhuan 馮經撰.
民國26 [1937].

Zhoubi suanjing 周髀算經, see E. Wilkinson, Chinese history, a manual, pp. 470, 670, 789. For English translation and study, see C. Cullen, Astronomy and Mathematics in Ancient China, 1996.