|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|
|Author||Engelfriet, Peter M.|
|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 I-VI (Jihe yuanben, Beijing, 1607) and its reception up to 1723 / by Peter M. Engelfriet.|
Includes bibliographical references (p. -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.