Euclid in China : the genesis of the first Chinese translation of Euclid's Elements, books IVI (Jihe yuanben, Beijing, 1607) and its reception up to 1723

Author  Engelfriet, Peter M.
 Pub. Location  Leiden  Publisher  Brill  Date  1998  Phys. Desc.  xii, 488 p. : ill. ; 25 cm.  Location  Hallway Cases  Call Number  QA31.E8753 1998 
Euclid in China : the genesis of the first Chinese translation of Euclid's Elements, books IVI (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 premathematical 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 – NeoConfucian 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 IVI).
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 16201635. Qiqi tushuo ; Jihe yaofa : Calendar reform : Celiang quanyi.
Ch. 7 The MingQing 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 ScholarMathematicians 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. 
