Subject: Mathematics--China--History--17th-18th centuries--Jesuit contributions

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.

Chousuan 籌算. [Jap-Sin II, 32]. [Rabdologiae. Chinese]
AuthorSchall von Bell, Johann Adam 湯若望, 1592-1666Rho, Giacomo 羅雅谷, 1592-1638Napier, John, 1550-1617
Place[China : s.n]
Publisher---
CollectionARSI
Edition
LanguageChinese 中文
TypeDigital Book (PDF)
Series
ShelfDigital Archives
Call NumberQA31.R56 1628
Descriptionpdf. [1 ce (43 frames) : ill. ; 26 cm]
NoteChousuan 籌算 / [Luo Yagu zhuan ; Tang Ruowang ding 羅雅谷撰 ; 湯若望訂.
Adapted from John Napier Rabdologiae seu numerationis per virgulas libri duo (1617).
Each frame represents two leaves of the original.
Spine title: Arithmetica.
Preface dated 1628.

Jap-Sin II, 32
Chousuan 籌算.
By Luo Yagu 羅雅谷 (Giacomo Rho).
One juan. Bound in one volume, European style. No date or place of publication.

The first folio mentions the collection (Xiyang xinfa lishu and the section to which the text belongs: 西洋新法曆書,法數部,籌算, the chief compiler (Xu Guangqi): 明禮部尚書兼翰林院學士協理詹事府事加一級俸徐光啟督修,the author and reviser (Giacomo Rho and Adam Schall): 修政曆法極西耶穌會士羅雅谷撰,湯若望訂,and the proofreaders (Zhu Guoshou, Zhu Guangda, Chen Suoxing, Huang Hongxian, Sun Silie and Jiao Yingxu): 門人朱國壽,朱光大, 陳所性, 黃宏憲, 孫嗣烈,焦應旭受法.

There is a preface, dated 20.III 1628 (Chongzhen 1) by Rho himself, followed by the table of contents of the book. The whole book consists of thirty-nine folios. There are nine columns in each half folio with twenty-one or twenty-two characters to each column. The title of the book and the number of the folio are given in the middle of each folio.

Rho states in his preface that the science of calculation is so widely employed in scientific studies as well as in people’s daily life that it can be called universal. He then goes on to say that though the study of arithmetic was common among his countrymen, those who were poor in memory found it hard to learn. The Napier’s rods method was invented to facilitate the study of arithmetic. It was for this purpose that this book was written in Chinese as a new method to help Chinese students.

Cf. Pfister, p. 191, no. 16 (Arithmétique népérienne, 1 vol.); Couplet, p. 23 (De Arithmetica); Wylie, p. 112 (On the Principle of Napier’s Rods).

Source: Albert Chan, Chinese Books and Documents in the Jesuit Archives in Rome (2002), p. 314-315.

Full bibliographic information see Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database)
Local access dig. archives, see folder ARSI Jap-Sin I-IV (II, 32)

Contribution des Jésuites français à la science chinoise aux XVIIe et XVIIIe siècles
AuthorDu Shiran 杜石然Han Qi 韓琦
PlaceParis
PublisherUnesco
CollectionRicci Institute Library
Edition
LanguageFrench
TypeExtract
Series
ShelfTBD
Call NumberQ127.C5 D914 1992
Descriptionp. 275-285 ; 25 cm.
Note

Du Shiran 杜石然 et Han Qi 韓琦.
Extract from: Impact: science et société, no. 167, p. 275-285.
Includes bibliographical references.
Also published in English: The contribution of French Jesuits to Chinese science in the seventeenth and eighteenth centuries.

Dace 大測. [Jap-Sin II, 51]
AuthorSchreck, Johann Terrenz 鄧玉函, 1576-1630
Place---
Publisher---
CollectionARSI
Edition
LanguageChinese 中文
TypeBook (stitch-bound 線裝本)
Series
ShelfARSI
Call NumberNOT HELD. DESCRIPTION ONLY
Description2 juan.
NoteFor full bibliographic and textual citation see: Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database).

JapSin II, 51
Dace 大測.
By Deng Yuhan 鄧玉函 (Johann Terrenz [Schreck]).
Two juan. Bamboo paper in a paper case. No date or place of publication.

The cover bears a label with the title and a Latin inscription: “Liber Primus | De Resolutione triangulorum | recti, lineorum et sphaericorum Liber secundus | de arte construendi tabellas | sinuum tangentium Sectantium | a p. Joanne Terrentio S.J.”
The title page bears four large Chinese characters: Xinfa lishu 新法曆書 (Calendar according to the new method). The verso of this folio mentions the title and the section to which the book belongs: 西洋新法曆書,法原部, the chief compiler (Xu Guangqi): 明體部尚書兼翰林院學士協理詹事府事加俸一級徐光啟修, the author (Terrenz) and reviser (Schall): 修改曆法極西耶穌會士鄧玉函撰,湯若望訂, and the proofreaders (Chen Yingdeng, Pan Guoxiang, Zheng Hongyou, Zhou Yin, Chen Yujie, and Liu Youqing): 門人陳應登,潘國祥,鄭洪猷,周胤,陳于階,劉有慶受法.
The table of contents consists of three folios. There are nine columns to each half folio with twenty-two characters in the first column of each paragraph and twenty-one in the rest of the paragraph. The title is given in the middle of each folio with the number of the folio. Juan A and B have twenty-six folios each. The Dace is a book on trigonometry 大測者,測三角形法也 (see folio 2 of the table of contents).

Cf. Pfister, p. 157, no. 4; Feng 1938, p. 185, no. 4; Hsü 1949, p. 369; Couplet, p. 18; Courant 4876.
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, pp. 354-355.

JapSin II, 51 D
Dace 大測.
By Deng Yuhan 鄧玉函 (Johann Terrenz [Schreck]).
Two juan. Bamboo paper in a paper case. No date or place of publication.

This book is a duplicate of Jap-Sin II, 51, except that the title page does not give the four characters 新法曆書, as does the latter.
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, p. 355.

emperor's new mathematics : Western learning and imperial authority during the Kangxi Reign (1662-1722)
AuthorJami, Catherine
PlaceOxford, England
PublisherOxford University Press
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeBook, Digital Book (PDF)
Series
ShelfHallway Cases, Digital Archives
Call NumberQ127.C6 J36 2012
Descriptionxv, 436 p. : ill. ; 25 cm. + pdf
NoteThe emperor's new mathematics : Western learning and imperial authority during the Kangxi Reign (1662-1722) / Catherine Jami.
Color maps on lining papers.
Includes bibliographical references (p. 395-420) and index.

Local access dig.pdf. [Jami-Emperors-New-Mathematics.pdf]

ISBN9780199601400 ; 0199601402
LCCN2011937338
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
Haidao suanjing 海島算經. Celiang fayi 測量法義. Celiang yitong 測量異同. Gougu yi 句股義 [勾股義]. Wangzhi limu suanfa jie 王制里畝算法解. Wangzhi jingtian suanfa jie 王制井田算法解. Liji yishu suanfa jie 禮記義疏算法解
AuthorRicci, Matteo 利瑪竇, 1552-1610Xu Guangqi 徐光啟, 1562-1633Liu Hui 劉徽, 3rd/4th cent.Li Chunfeng 李淳風 [李湻風], 602-670Tan Tai 談泰, juren 1786
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 ; 1301
ShelfAdmin. Office Gallery
Call NumberAC149.T76 1935 v. 1301
Description81 p. in various pagings : ill. ; 17.5 cm.
NoteHaidao suanjing 海島算經 / Liu Hui zhuan 劉徽撰 ; Li Chunfeng zhu 李淳風注. Celiang fayi 測量法義 / Li Madou koushou 利瑪竇口授 ; Xu Guangqi bishou 徐光啓筆受. Celiang yitong 測量異同 / Xu Guangqi zhuan 徐光啓撰. Gougu yi 句股義 / Xu Guangqi zhuan 徐光啓撰. Wangzhi limu suanfa jie 王制里畝算法解 / Tan Tai zhu 談泰著. Wangzhi jingtian suanfa jie 王制井田算法解 / Tan Tai zhu 談泰著. Liji yishu suanfa jie 禮記義疏算法解 / Tan Tai zhu 談泰著.
Alt. character form Gougu yi 勾股義 (cf. Standaert, et al.)
História das ciências matemáticas Portugal e o Oriente = History of mathematical sciences Portugal and East Asia
AuthorHistória das Ciências Matemáticas Portugal e o Oriente (1995 : Convento da Arrábida)
PlaceCamarate
PublisherFundação Oriente
CollectionRicci Institute Library
Edition
LanguagePortuguese, English, French
TypeBook (Proceedings)
Series
ShelfHallway Cases
Call NumberQA27.C5 H57 2000
Description361 p. : ill. ; 23 cm.
NoteHistória das ciências matemáticas Portugal e o Oriente = History of mathematical sciences Portugal and East Asia.
"The Conference...took place at the Convento da Arrábida from 2-4 November 1995....promoted by Fundação Oriente, and was also sponsored by the Mathematics Department of the Faculty of Sciences of Lisbon University, by CMAF... [et al.]" -- t.p. verso.
Includes bibliographical references.
Text in Portuguese, English and French.

Preface / Luís Saraiva -- Les sciences mathématiques en Chine vers 1600 / Jean-Claude Martzloff --The Portuguese assistancy of the Society of Jesus and scientific activities in its Asian missions until 1640 / Ugo Baldini -- L'Exploration d'une mathématique: l'École de Jésuite Grégoire de Saint-Vincent dans les Pays Ibériques et Au-Delà / Jean Dhombres -- O problema da longitude posto pelas Navegações, o Tratado de Tordesilhas e as Negociações de Elas-Badajoz / José Joaquim Dionísio -- Os Jesuítas e o Intercâmbio Científico entre a Europa e o Oriente do século XVI ao século XVIII / Alfredo Dinis -- F. Furtado (1587-1653) S.J. and his Chinese translation of Aristotle’s Cosmology / Han Qi -- The Pleasure-Garden of Myriad Forms: some reflections on the Chinese translation of Euclid (1607) / Peter Engelfreit -- P. Andreas Pereira and his contribution to mathematics and astronomy in China / Wang Yusheng -- D. Frei Alexandre de Gouveia, Bispo de Pequim, Astrónomo e matemático na Corte Chinesa / Antonio Graça de Abreu -- Nagasáqui e a primeira Abertura do Japão ao Ocidente / João Paulo Oliveira e Costa -- The navigational instruments in Duarte de Sande's Dialogus de Missione Legatorum Iaponensium ad Romanum Curiam (1590) / Charles Burnett -- Notes on the contents and fate of the Western scientific influence in Japan in the sixteenth and seventeenth centuries / Henrique Leitão -- Les activités scientifiques (mathématiques, astronomie) des Missions Catholiques au Japon et en Chine du milieu du XVIe Siècle au milieu di XIXe Siècle / Jean-Claude Martzloff -- Two Jesuit contributions to geometry in China / Joseph MacDonnell -- Image and patronage: the role of Portugal in the transmission of scientific knowledge from Europe to China / Catherine Jami.

ISBN9727850103 ; 9789727850105
History of mathematical sciences : Portugal and East Asia II : Scientific practices and the Portuguese expansion in Asia (1498-1759)
AuthorSaraiva, LuísHistory of Mathematical Sciences :Portugal and East Asia II (1998 : University of Macao)
PlaceHackensack, N.J.
PublisherWorld Scientific
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeConference Proceedings
Series
ShelfDigital Archives
Call NumberQA27.E18 C66 1998d
Descriptionpdf [xiv, 182 p. : ill. (some color) ; 24 cm]
NoteHistory of mathematical sciences : Portugal and East Asia II : University of Macau, China, 10-12 October 1998 / edited by Luís Saraiva.
At head of title: Scientific practices and the Portuguese expansion in Asia (1498-1759)
Includes bibliographical references.

"This book explores the interaction between Europe and East Asia between the 16th and 18th centuries in the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transmission of European science to East Asia. It is an important contribution to understanding this fundamental period of scientific history, beginning with the arrival of Vasco da Gama in India in 1498 and ending with the expulsion of the Society of Jesus from Portugal in 1759."

Macau: an intercultural frontier in the Ming period / Luís Filipe Barreto -- Survey and study of pre-1900 Chinese maps seen in Europe / Li Xiaocong -- Western knowledge of geography reflected in Juan Cobo's Shilu (1593) / Liu Dun -- The continuing influence of the Portuguese: "A new interpretation of world geography" / Wang Qianjin -- Teachers of mathematics in China: the Jesuits and their textbooks (1580-1723) / Catherine Jami -- News from China in sixteenth century Europe: the Portuguese connection / Rui Loureiro -- The Indianization of Spain in the 16th century / Juan Gil -- Jesuit observations and star-mappings in Beijing as the transmission of scientific knowledge / Keizo Hashimoto -- The compilation of the Lixiang Kaocheng houbian, its origin, sources, and social context / Han Qi -- A Japanese reaction to Aristotelian cosmology / Tadashi Yoshida -- Portugal and Korea: obscure connections in the pre-modern sciences before 1900 / Park Seong-Rae -- Translations of Portuguese texts into Konkani and Konkani compositions into Portuguese, with educational influence on literature and art and the transfer of technology / Joseph Velinkar.

Local access dig.pdf & djvu [Saraiva-Mathematical-Sciences.pdf & .djvu]
Also available online via Gleeson Library.

ISBN9812560785 ; 9789812560780
LCCN2005394737
Imagined civilizations : China, the West, and their first encounter
AuthorHart, Roger (Roger Preston)
PlaceBaltimore, MD
PublisherJohns Hopkins University Press
CollectionRicci Institute Library
Edition
LanguageEnglish, Chinese
TypeBook
Series
ShelfHallway Cases
Call NumberBV3417.H37 2013
Descriptionvii, 374 pages : ill. ; 25 cm.
NoteImagined civilizations : China, the West, and their first encounter / Roger Hart.
Includes bibliographical references (pages 305-366) and index.

"Accounts of the seventeenth-century Jesuit Mission to China have often celebrated it as the great encounter of two civilizations. The Jesuits portrayed themselves as wise men from the West who used mathematics and science in service of their mission. Chinese literati-official Xu Guangqi (1562-1633), who collaborated with the Italian Jesuit Matteo Ricci (1552-1610) to translate Euclid's Elements into Chinese, reportedly recognized the superiority of Western mathematics and science and converted to Christianity. Most narratives relegate Xu and the Chinese to subsidiary roles as the Jesuits' translators, followers, and converts. Imagined Civilizations tells the story from the Chinese point of view. Using Chinese primary sources, Roger Hart focuses in particular on Xu, who was in a position of considerable power over Ricci. The result is a perspective startlingly different from that found in previous studies. Hart analyzes Chinese mathematical treatises of the period, revealing that Xu and his collaborators could not have believed their declaration of the superiority of Western mathematics. Imagined Civilizations explains how Xu's West served as a crucial resource. While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor."--Publisher's website.

Science as the measure of civilizations -- From Copula to incommensurable worlds -- Mathematical texts in historical context -- Tracing practices purloined by the three pillars -- Xu Guangqi, Grand Guardian -- Conclusions -- Acknowledgments -- Appendix A: Zhu Zaiyu's New theory of calculation -- Appendix B: Xu Guangqi's Right triangles, meanings -- Appendix C: Xu Guangqi's writings.

In English; some text in Chinese with accompanying English translation.
Text also online at EBSCO host (USF community only).

ISBN9781421406060 ; 1421406063
Jean-François Gerbillon, S.J. (1654-1707) : mathématicien de Louis XIV, premier Supérieur général de la Mission française de Chine
AuthorFerdinand Verbiest FoundationThomaz de Bossierre (Bossière), Yves de, MmeGerbillon, Jean-François 張誠, 1654-1707
PlaceLeuven
PublisherFerdinand Verbiest Foundation, K.U. Leuven
CollectionRicci Institute Library
Edition
LanguageFrench
TypeBook
SeriesLouvain Chinese studies ; 2
ShelfHallway Cases
Call NumberBV3415.L489 no. 2
Description211 p. : ill. ; 24 cm.
NoteJean-François Gerbillon, S.J. (1654-1707) : mathématicien de Louis XIV, premier Supérieur général de la Mission française de Chine / Mme Yves Thomaz de Bossierre.
Cover and flyleaf subtitle: Un des cinq mathématiciens envoyés en Chine par Louis XIV.
Includes bibliographical references (p. 162-168) and index. With chronology, table of place names and glossary.
Flyleaf device: Zhang Cheng Shi Zhai 張誠實齋.
ISBN9080183318
Jesuits, the Padroado and East Asian science (1552-1773)
AuthorJami, CatherineSaraiva, LuísConference History of Mathematical Sciences: Portugal and East Asia III (2005 : University of Tokyo)
PlaceSingapore
PublisherWorld Scientific
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeDigital Book (PDF)
Series
ShelfDigital Archives
Call NumberQA27.E18 C66 2005d
Descriptiondig.pdf. [xviii, 229 p. : ill. (some color) ; 24 cm.]
NoteThe Jesuits, the Padroado and East Asian science (1552-1773) / edited by Luís Saraiva and Catherine Jami.
At head of title: History of Mathematical Sciences : Portugal and East Asia III
"The conference 'History of Mathematical Sciences:Portugal and East Asia III' took place at the Graduate School of Mathematical Sciences, University of Tokyo, Komba Campus, from 4 to the 7 August 2005"--Page vii.

The Jesuit mathematicians of the Portuguese Assistancy and the Portuguese historians of mathematics (1819-1940) / Luis Manuel Ribeiro Saraiva -- The Jesuit College in Macao as a meeting point of the European, Chinese and Japanese mathematical traditions. Some remarks on the present state of research, mainly concerning sources (16th-17th centuries) / Ugo Baldini -- The transmission of Western cosmology to 16th century Japan / Hiraoka Ryuji -- The contents and context of Manuel Dias' Tianwenlüe / Henrique Leitao -- The textual tradition of Manuel Dias' Tianwenlüe / Rui Magone -- Restoring the unity of the world: Fang Yizhi and Jie Xuan's responses to Aristotelian natural philosophy / Lim Jongtae -- Traditional Vietnamese astronomy in accounts of Jesuit missionaries / Alexei Volkov -- Tomé Pereira (1645-1708), clockmaker, musician and interpreter at the Kangxi Court: Portuguese interests and the transmission of science / Catherine Jami -- The Yuzhi lixiang kaocheng houbian in Korea / Shi Yunli.

At the end of the 15th century, Portugal was given the oversight (Padroado) of all Catholic missions in Asia. The Society of Jesus played a major role in this enterprise of evangelization, which in Jesuit hands led to the transmission of major elements of European mathematical sciences to East Asia. The essays in this volume present important new data and analysis on the extent to and ways in which Jesuit scientific culture and Portuguese policies regarding education, trade and mission shaped the reception of "Western learning" in China, Japan, Korea and Vietnam in the early modern period.

Includes bibliographical references.

Local access dig.pdf. [Saraiva-Jami-Jesuits Padroado Asian science.pdf]
Online edition via Gleeson Library (ebsco).

ISBN9812771255 ; 9789812771254
LCCN2008274771
Jiao Xun de shuli sixiang yu Qian-Jia xueshu 焦循的數理思想與乾嘉學術
AuthorChen Juyuan 陳居淵, 1952-
PlaceJinan 濟南
PublisherQi Lu shushe 齊魯書社
CollectionRicci Institute Library
Edition
LanguageChinese 中文[簡體字]
TypeExtract/Offprint
Series
ShelfFile Cabinet A
Call NumberQA27.C5 C534 2004x
Descriptionp. [105]-112 ; 26 cm.
NoteJiao Xun de shuli sixiang yu Qian-Jia xueshu 焦循的數理思想與乾嘉學術 / Chen Juyuan 陳居淵.
Extract/Offprint from Kongzi yanjiu 孔子研究 2004年第5期.
Jihe yaofa 幾何要法. [Jap-Sin II, 17. Jap-Sin II 18-18a]
AuthorAleni, Giulio 艾儒略, 1582-1649Qu Shigu 瞿式榖, b. 1593
PlaceFuzhou 福州
PublisherMinzhong Jingjiaotang 閩中景教堂
CollectionARSI
Edition
LanguageChinese 中文
TypeBook (stitch-bound 線裝本)
Series
ShelfARSI
Call NumberNOT HELD. DESCRIPTION ONLY
Description2 ce in 1 vol.
NoteFull textual citation see: Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database).

JapSin II, 17
Jihe yaofa 幾何要法.
Dictated by Ai Rulue 艾儒略 (Giulio Aleni) and transcribed by Qu Shigu 瞿式榖.
Four juan. Bamboo paper, two ce bound in one volume, European style. Published by the Catholic church of Fuzhou 閩中景教堂 (Fujian). No date of publication.

The middle of the title page bears the title in four large characters; on the right the author’s name is given 艾思及先生述 and on the left that of the publisher: 閩中景教堂藏板. On the verso of this folio the title of the book and the author’s name are given again, with the names of the censors: Gao Yizhi 高一志 (Alfonso Vagnone) and Deng Yuhan 鄧玉函 (Johann Schreck [Terrenz]). The imprimatur was given by Yang Manuo 陽瑪諾 (Manuel Dias Jr.), then Vice-Provincial.
There is a preface in four folios by Zheng Hongyou 鄭洪猷 of Liu’an 六安 (Anhui), dated Chongzhen 4 (1631).
The first folio of each juan gives the title of the book, the number of the juan, the names of the authors: 泰西艾儒略口述 | 海虞瞿式榖筆受 and of the proofreader, Ye Yifan 葉益蕃 of Fujian.
Each of the four juan has a table of contents (two, three, two and two folios). The main text of juan 1 consists of nineteen folios, juan 2 of nineteen folios, juan 3 of eight folios and juan 4 of ten folios.
In the middle of each folio the title of the book is given and the number of juan is given below the fish tail. Each half folio has nine columns, with nineteen characters in each column.
Pfister describes this book as: “Principes de géométrie” (p. 135, no. 22) and Couplet’s Catalogus as: “Praxes necessariae Geometricae” (p. 17). It deals with the line and the plane in geometry.
Qu Shigu was the eldest son of Qu Taisu 瞿太素, one of the first converts of Ricci. He was born in 1593 (Wanli 21) and baptized in 1607. In homage to Ricci he took the Christian name Matteo. In 1623 (Tianqi 3) he invited the missioners to Changshu 常熟, his native place, to start a mission there. We are told that through his efforts over 200 of his countrymen became Christians within a short period (cf. JWC 1:276–277; ECCP 1:199).

Cf. CJC, juan 44, ce 5, p. 576.
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, pp. 297-298.

JapSin II, 18
Jihe yaofa 幾何要法.
Dictated by Ai Rulue 艾儒略 (Giulio Aleni) and transcribed by Qu Shigu 瞿式榖.
Four juan. Bamboo paper, two ce bound in one volume, European style. No date or place of publication.

The cover bears a label with the title and a Latin inscription: “Liber Primus | Geometricus | de lineis. | Liber Secundus de lineis | inscriptis et circumscriptis | circulo. Liber Tertius de Angulis | et Triangulis. | Liber Quartus de Potentia linearum. | a p. Julio Aleni, S.J.”
There is a preface in four folios by Zheng Hongyou 鄭洪猷 of Liu’an 六安 (Anhui), dated Chongzhen 4 (1631). A table of contents is given in each of the juan; likewise each of the juan bears the title of the book, the number of juan, the names of the authors and the names of the proofreaders (Ye Yifan, Chen Yujie, Zheng Hongyou, and Chen Yingdeng: 泰西艾儒略口述 | 海虞瞿式榖筆受 | 古閩葉益蕃參較 | 吳淞陳于階 | 陸安鄭洪猷 | 山隱陳應登同較梓. The title of the book is given in the middle of each folio, with the number of the juan and the number of the folio below the fish tail.
Romanized phonetic transcriptions are given here and there with meanings given in Portuguese.
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, p. 298.

JapSin II, 18a
Jihe yaofa 幾何要法.
Dictated by Ai Rulue 艾儒略 (Giulio Aleni) and transcribed by Qu Shigu 瞿式榖.
Four juan. Bamboo paper, two ce bound in one volume, European style. No date or place of publication.

The cover bears a label with the title of the book and a Latin inscription: “Compendium geo | metriae | a p. Julio Aleni | S.J.”
This book is exactly the same as Jap-Sin II, 18. These two books are the same as Jap-Sin II, 17, except for a difference in edition. The preface by Zheng Hongyou in the former two books (Jap-Sin II, 17 and 18) is engraved from handwriting, but this edition (18a) has type engraving. Furthermore, the former two books (seventeen and eighteen) mention next to Ye Yifan three other proofreaders (including Zheng Hongyou).
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, p. 299.
Jihe yuanben 幾何原本
AuthorRicci, Matteo 利瑪竇, 1552-1610Xu Guangqi 徐光啟, 1562-1633
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 ; 1294-1297
ShelfAdmin. Office Gallery
Call NumberAC149.T76 1935 v. 1294-1297
Description4 v. ([10], 356 p.) : ill. ; 17.5 cm.
NoteJihe yuanben 幾何原本 / Li Madou kouyi 利瑪竇口譯 ; Xu Guangqi bishou 徐光啓筆受.
Kangxi shidai Xifang shuxue zai gongting de chuanbo : yi Anduo he Suanfa zuanyao zonggang de bianzuan wei li 康熙時代西方數學在宮廷的傳播 : 以安多和算法纂要總綱的編纂為例
AuthorHan Qi 韓琦Jami, Catherine
Place[Beijing] [北京]
PublisherKexue chubanshe 科學出版社
CollectionRicci Institute Library
Edition
LanguageChinese 中文[簡體字]
TypeExtract
Series
ShelfFile Cabinet A
Call NumberQA27.C5 H362 2003
Descriptionp. [145]-156 ; 26 cm.
NoteKangxi shidai Xifang shuxue zai gongting de chuanbo : yi Anduo he Suanfa zuanyao zonggang de bianzuan wei li 康熙時代西方數學在宮廷的傳播 : 以安多和算法纂要總綱的編纂為例 / Han Qi 韓琦.
Periodical extract from: Ziran kexueshi yanjiu 自然科學史研究 ; 第22卷, 第2期 (2003年).
Abstract also in English: The circulation of Western mathematics at the court during the Kangxi period : a case study of the compilation of the Suanfa zuanyao zonggang by Antoine Thomas.

" ... compilation of Shuli jingyun (Essential principles of mathematics, 1722) can be traced back to 1689 when two French Jesuits, Jean-François Gerbillon (1654-1707) and Joachim Bouvet (1656-1730), and a Belgian, Antoine Thomas (1644-1707) took up the task of tutoring the Kangxi Emperor in mathematics....this article focuses on the contribution of Antoine Thomas. It provides evidence that the Chinese treatise Suanfa zuanyao zonggang (Outline of the essentials of calculation) was to a large extent based on Thomas' Latin treatise, the Synopsis Mathematica (1685). The source for significant portions of Shuli jingyun is thus identified...”—English abstract, p. 22.

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
reconstruction of the tables of the Shuli Jingyun (1713-1723)
AuthorRoegel, Denis
Place---
PublisherHAL-Inria
CollectionRicci Institute Library
Edition
LanguageEnglish, Chinese
TypeDigital text [pdf]
Series
ShelfDigital Archives
Call NumberQA27.C5 S784 2011d
Descriptiondig.pdf. [27 p. : tables}
NoteA reconstruction of the tables of the Shuli Jingyun (1713-1723) / Denis Roegel.
"The Shuli Jingyun encyclopaedia, published by the order of Emperor Kangxi, contained a set of tables of logarithms, trigonometrical functions and factors, which have been reconstructed here.'--pub. description.
Document no. HAL-00654450.
Includes bibliographical references.
Link to LOCOMAT.
Local access. dig.pdf. [Roegel-Shuli Jingyun tables.pdf]
Space and time in Chinese texts of astronomy and of mathematical astronomy in the seventeenth and eighteenth centuries
AuthorMartzloff, Jean-Claude
PlaceLos Angeles
PublisherCenter for Chinese Studies ; Center for Pacific Rim Studies
CollectionRicci Institute Library
Edition
LanguageEnglish
TypeExtract/Offprint
Series
ShelfCase X
Call NumberQ127.C5 M28 1991
Descriptionp. 66-92 : ill., diagrams ; 28 cm.
Note"This article is based upon a paper presented to the symposium on Time and Space in the encounter between China and Europe during the seventeenth and eighteenth centuries organized by Jacques Gernet. Paris: Hugot Foundation of the College de France, 14-17 October 1991"
This article was downloaded in .PDF from Chinese Science 11 (1993-94); 66-92.
Serial published: Center for Chinese Studies, and Center for Pacific Rim Studies, University of California, Los Angeles (1992- )
The contribution of French Jesuits to Chinese science in the seventeenth and eighteenth centuries
AuthorDu Shiran 杜石然Han Qi 韓琦
PlaceParis
PublisherUnesco
CollectionRicci Institute Library
Edition
LanguageEnglish, French
TypeExtract/Offprint, Extract (PDF)
Series
ShelfDigital Archives, File Cabinet A
Call NumberQ127 .C5 D913 1992
Descriptionp. 265-275 ; 25 cm.
Note

The Contribution of French Jesuits to Chinese science in the seventeenth and eighteenth centuries / Du Shiran 杜石然 and Han Qi 韓琦.
Extract from: Impact of science on society, no. 167, p. 265-275.
Library has offprint & pdf electronic document.
Also available in French.
Includes bibliographical references.

Tongwen suanzhi 同文算指. [Jap-Sin II, 11]
AuthorRicci, Matteo 利瑪竇, 1552-1610Li Zhizao 李之藻, 1565-1630Xu Guangqi 徐光啟, 1562-1633Yang Tingyun 楊廷筠, 1562-1627
Place---
Publisher---
CollectionRicci Institute Library
Edition
LanguageChinese 中文
TypeDigital Book (CD)
Series
ShelfDigital Archives
Call NumberCD-ROM
Description1 juan, 1 ce (dig. file)
NoteTXCH, vol. 5, pp. 2771-3032; vol. 6, pp. 3033-3426

Tongwen suanzhi 同文算指 (Rules of Arithmetic Common to Cultures, 1614). Cf. Standaert, Handbook of Christianity in China, p. 693, 739, 741, 744, 746.
Full bibliographic citation see: Ad Dudink & Nicolas Standaert, Chinese Christian Texts Database (CCT-Database).

JapSin II, 11
Tongwen suanzhi 同文算指.
Dictated by Li Madou 利瑪竇 (Matteo Ricci) and recorded by Li Zhizao 李之藻.
One juan; one ce in Chinese bamboo paper. No date or place of publication.

On the cover there is a label with the title in Chinese and a Latin inscription: “Arithmetica | a p. Math. Ricci, S.I.”
Passages in this copy are marked with circles and dots in both red and black ink. On the recto of folio 1 of juan A there is an inscription in red that reads: 甲子冬十一月二十九日月閱起 ([I] started to read this book in the winter of the jiazi year on the twenty-ninth day of the eleventh month).
There is a preface (four folios), dated Wanli 42 (1614) by Xu Guangqi 徐光啟 and another preface (four folios), dated Wanli 41 (1613), by Li Zhizao. The second part (通編) has a preface by Yang Tingyun 楊廷筠.
Each half folio consists of ten columns with twenty-two characters in each column. A table of contents in one folio is given after the prefaces. In the middle of each folio the title of the book is given with the number of the bian (section); the number of the juan and of the folio are given below the fish tail. The recto of folio 1 has: 同文算指前編卷下 (juan B of the first section of the Tongwen suanzhi) 西海利瑪竇授 (dictated by Li Madou of the Western Sea) 浙西李之藻演 (recorded by Li Zhizao of western Zhejiang).

In his preface Li Zhizao tells us that when Ricci showed him this book he found it useful for daily use, because one needs no help from mathematical instruments; work could be done with the brush only. Above all, it was particularly handy for geometry and algebra in contrast with the old Chinese method, which is by no means easy to understand.
The first section of the book gives all the fundamentals with examples designed to make it easy for the public to understand. Sometimes old Chinese mathematical methods are given, when they coincide with the Western method. The second section deals with special methods of calculation.

Pfister (p. 38, no. 12): “Cette arithmétique se trouve dans le grand catalogue impérial [Siku quanshu zongmu tiyao 四庫全書總目提要]. Elle est divisée en deux parties: la première traite de la numération, des 4 règles et des opérations sur les fractions; la seconde comprend les règles de trois, sous toutes les faces, l’extraction des racines et quelques calcus trigonométriques. Elle est reproduite dans le recueil précédent 天學初函 T’ien hio tch’ou han [Tianxue chuhan]).”
Wylie (p. 118): “The 同文算指 T’ûng wan swán chè, in ten books, is a treatise on arithmetic, by Lè Che tsaou, published in 1614, being a digest of the science as then known in Europe, which had been communicated to him by Ricci. It is divided into two parts; the first preliminary portion merely containing the rules for Notation, Addition, Subtraction, Multiplication, Division, and the various operations of Fractional computation. The second part which comprises four fifths of the whole, treats at great length on the Rule of Three in all its phases, Extraction of Roots, and Trigonometrical Calculations 10. . . .”
Li Yan 1976, pp. 217–221, 230–236: This book consists of eleven juan. The translation is based on the Epitome Arithmeticae Practicae (Rome, 1595) of Cristoforo Clavius (Verhaeren, no. 1296) and on the work of a contemporary Chinese mathematician, Cheng Dawei 程大位 (zi 汝思, hao 賓渠), a native of Xiuning 休寧 (Anhui). The work he wrote and published in 1592, when he was sixty sui, had the title Zhizhi suanfa tongzong 直指算法統宗 (seventeen juan), which is after the style of the ancient Chinese book Jiuzhang suanshu 九章算書. The general section (前編) of the Tongwen suanzhi follows the same order as the original text of Clavius. The second part (通編) also follows the same order, except that Li Zhizao added some old traditional Chinese methods to it. The third part (別編) remained in manuscript form and has never been published. The book is the first on arithmetic introduced into China from Europe. It had a great influence in China in a later period.
The Tongwen suanzhi can be found in the following congshu (collection of books): Tianxue chuhan 天學初函, Haishan xian’guan congshu 海山仙館叢書, Zhong-Xi suanxue congshu 中西算學叢書, and Congshu jicheng chubian 叢書集成初編.

Cf. Li Yan 李儼, Zhongguo suanxueshi luncong 中國算學史論叢 (Taipei, 1954), p. 164; SHS, pp. 236–238; Fang Hao 1966, pp. 97–100; FR, vol. I, p. 297; Hsü 1949, pp. 265–267; SKTY 3:2209–2210; Couplet, p. 6 (Universa arithmetica practica, 11 vol.). Courant 4861–4863: “Traité de mathématique. I (4861), 前編 Section préliminaire. Eléments d’arithmétique. 2 livres. II (4862), 通編 Section général. Arithmétique et géometrie. 8 livres. III (4863) 別編, Section spéciale. Logarithmes, calcul astronomiques. 1 volume.”
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, pp. 288-290.

varillas de Napier en China : Giacomo Rho, S.J. (1592-1638) y su trabajo como matemático y astrónomo en Beijing. [Chousuan 籌算. Jap-Sin, II. 32]
AuthorRho, Giacomo 羅雅谷, 1592-1638Cervera Jiménez, José AntonioNapier, John, 1550-1617
PlaceMéxico, D.F.
PublisherEl Colegio de México
CollectionRicci Institute Library
Edition
LanguageSpanish, Chinese
TypeBook, Digital Book (PDF)
Series
ShelfHallway Cases, Digital Archives
Call NumberBV3427.R35 C47 2011
Description333, [42] p. : ill. ; 21 cm + pdf
NoteLas varillas de Napier en China : Giacomo Rho, S.J. (1592-1638) y su trabajo como matemático y astrónomo en Beijing / José Antonio Cervera Jiménez.
In Spanish, with some text in Chinese and Portuguese.
Slightly modified version of the author's thesis (doctoral--El Colegio de México, 2007) presented under the title: Giacomo Rho, S. J. (1592-1638) y su trabajo como matemático y astrónomo en Pekín.
Includes facsimile of the original text of Chousuan 籌算 by Giacomo Rho in the Archivum Romanum Societatis Iesu.
Includes bibliographical references (pages 283-299).

Agradecimientos -- Introducción : la llegada de los jesuitas a China. El nacimiento de la Compañía de Jesús. La llegada de los jesuitas a China : Matteo Ricci. La acomodación de los jesuitas en China -- 1. Introducción de la astronomía europea en China. El contexto astronómico europeo. La llegada de los jesuitas astrónomos a la corte de Beijing -- 2. Vida de Giacomo Rho. Nacimiento y procedencia. Formación y viaje de Rho. Papel de Rho en la defensa de Macao contra los holandeses. Ultimos años y muerte de Giacomo Rho -- 3. Un nuevo catálogo de las obras de Rho. Obras religiosas. Obras científicas. Cartas. Conclusión : las obras de Rho rectalogadas -- 4. Matemáticas en China y en Europa en el tiempo de Rho. Las matemáticas en China. Las matemáticas para la Compañía de Jesús. Las matemáticas introducidas por los jesuitas en China. John Napier y su búsqueda de métodos rápidos para calcular -- 5. El Chou Suan de Giacomo Rho. Generalidades y fechas. Aspectos generales del Chou Suan. Fontispicio, prefacio e índice. Primera parte : construcción de las varillas. Segunda parte : las operaciones más simples. Multiplicación y división. Raíz cuadrada. Raíz cúbica. Anexo sobre economía -- 6. Recepción y significado del Chou Suan de Rho. El Chou Suan de Mei Wending. La inculturación en China mediante las matemáticas -- Un breve sobre el trabajo astronómico de Rho -- Conclusión : Rho como matemático y astrónomo en Beijing -- Bibliografía -- Anexos. Anexo A. Documentos procedentes del Archivo Histórico de Macao. A.1. Informaçoěs Comuăs dos Padres que vieram para a China, Com o Padre Nicolao Trigao, no anno de 1620. A2. Morte do Doutor Leam, e do Padre Joaŏ Terencio ambos na Corte, saŏ chamados a ella por ordem Real os Padres Jacome Rho, e Joaŏ Adaŏ. A.3. Carta do Padre Alberto à o Padre Jacome Rho.

A.4. Carta do Pe. Jacome Rho ao Pe. Geronimo Roiz Vizitador da Companhia de Jesus na China, e Japaŏ A.4. Carta do Pe. Jacome Rho ao Pe. Geronimo Roiz Vizitador da Companhia de Jesus na China, Japaŏ. A.5. Cristiandades soguitas à Corte de Pekim e Morte do Padre Jacome Rho. Capitulo 8°. A.6. La morte do Padre Jacome Rho. A.7. Do estado em que estado estaŏ as couzas do Calendario. A.8. Do Estado do Calendario -- Anexo B. Información sobre Giacomo Rho (Luo Yagu) en el Chou Ren Zhuan -- Anexo C. Situación de las obras científicas de Rho en el Si Ku Quan Shu -- Anexo D. Fotografías de la estela conmemorativa de Giacomo Rho -- Anexo E. El Chou Suan.

Dig.pdf. local access [Cervera-Rho Napier en China.pdf]

ISBN2012461292
LCCN607462335X ; 9786074623352
Xiangshu lun 象數論. [Jap-Sin II, 166]
AuthorDe Ursis, Sabatino 熊三拔, 1575–1620
PlaceTaibei 臺北
PublisherTaipei Ricci Institute 利氏學社
CollectionRicci Institute Library
Edition
LanguageChinese 中文
TypeBook (Text in Collection)
SeriesYesuhui Luoma dang'anguan Ming-Qing Tianzhujiao wenxian 耶穌會羅馬檔案館明清天主教文獻 ; 第 6冊
ShelfHallway Cases
Call NumberBX1665.A2 Y47 2002 v.6
Descriptionv. 6, p. 1-44 ; 21 cm.
NoteXiangshu lun 象數論 / wumingshi 無名氏.
In: Yesuhui Luoma dang'anguan Ming-Qing Tianzhujiao wenxian 耶穌會羅馬檔案館明清天主教文獻 / Edited by Nicolas Standaert [鐘鳴旦] [and] Adrian Dudink [杜鼎克]. Reproduction of original text in vol. 6 of this collection. See Main entry for complete listing.

Jap-Sin II, 166.
Xiangshu lun 象數論.
By Xiong Sanba 熊三拔 (Sabbatino de Ursis, 1575–1620).
Manuscript (incomplete), one juan, one ce; written on Chinese paper with red squares. 25 x 15.5 cm.

The cover bears an inscription in Portuguese: “Do P. Sabbatino de Ursis sobre o Ye kim.”
There are nine columns in each half folio with twenty characters to each column. The text, which is incomplete, consists of twenty-one unnumbered folios (including the covers) and contains illustrations.
The author of the manuscript is not given. However, in folio 1, column 4, there is a remark : Yougangzi yue 有綱子曰. Now Yougang is the zi of Sabbatino de Ursis, which clearly indicates that he is the author. This title does not appear in Pfister or elsewhere.
The book, written in dialogue form, begins with the objection that in China the teaching of the savants is based on moral problems and not on God or on mathematical signs. To this the reply is that the Golden Mean [i.e. Zhongyong 中庸] (one of the Four Books in the Chinese classics) begins with the service of God. The savants observed the heavenly law and expressed it in writing and by diagrams. Thus, one practices virtues according to the dictate of the heavenly [Lord] and one governs by divine law without intervention of the impetuous human self.
The treatise then goes on to discuss the philosophy of mathematics, beginning from the point which is the centre of the Taiji 太極 (the Absolute), as was indicated by the Song philosophers. It then goes on to discuss the line, the surface and tries to refute the theory of Wuji 無極 and Taiji.
Source: Albert Chan, S.J., Chinese Books and Documents in the Jesuit Archives in Rome, p. 454.
Xifang lisuanxue zhi shuru 西方曆算學之輸入
AuthorWang Ping 王萍, 1929 or 30-
PlaceTaibei Xian Nan'gang Zhen 臺北縣南港鎮
PublisherZhongyang yanjiuyuan jindaishi yanjiusuo 中央研究院近代史研究所
CollectionBibl. Sinensis Soc. Iesu
Edition修訂再版
LanguageChinese 中文
TypeBook
SeriesZhongyang yanjiuyuan jindaishi yanjiusuo zhuankan 中央研究院近代史研究所專刊 ; 17
ShelfReading Room
Call NumberCE37.W34 1980
Description3, 251 p. ; 22 cm.
NoteXifang lisuanxue zhi shuru 西方曆算學之輸入 / Wang Ping zhu 王萍著.
Added cover title: The introduction of Western astronomical and mathematical sciences into China.
Bibliography: p. 214-235. Includes indexes.
民國69 [1980].
Zhongguo shuxue de Xihua licheng 中國數學的西化歷程
AuthorTian Miao 田淼
PlaceJinan 濟南
PublisherShandong jiaoyu chubanshe 山東教育出版社
CollectionRicci Institute Library
Edition第1版
LanguageChinese 中文[簡體字]
TypeBook
SeriesZhongguo jin-xiandai kexue jishu shi yanjiu congshu 中國近現代科學技術史研究叢書
ShelfHallway Cases
Call NumberQA27.C5 T536 2005
Description3, 2, 3, 416 p. : ill. ; 23 cm.
NoteZhongguo shuxue de Xihua licheng 中國數學的西化歷程 = The Westernization of mathematics in China / Tian Miao zhu 田淼著.
"中國科學院知識創新工程項目"
See: Table of contents
Includes bibliographical references (p. 376-402) and index.