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.”

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.

Available online here.
See also Bibliotheca Sinica 2.0.
Local access dig.pdf. [Schreck-Epistolium.pdf]

"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).

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).

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.”

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.”