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.”

Jap-Sin II, 12
幾何原本Jihe yuanben

Translated orally by Li Madou 利瑪竇 (Matteo Ricci) and written down by Xu Guangqi 徐光啟. Six juan (in this copy only the preliminary and the first juan are preserved; for juan 2–5, see Jap-Sin II, 13). Chinese bamboo paper, bound in one volume with two cloth cases. No date or place of publication. The cover bears the title in Chinese with a Latin inscription: “De geometria | a p. Matteo Ricci, S.J.”

Jap-Sin II, 13
幾何原本Jihe yuanben
Translated orally by Li Madou 利瑪竇 (Matteo Ricci), and written down by Xu Guangqi 徐光啟. Six juan. Chinese bamboo paper in two books: juan 2–5 (for juan 1 see Jap-Sin II, 12; juan 6 is missing); bound into one volume with a cloth case (folio 16 in juan 3 and folio 34 in juan 5 are missing). Both Jap-Sin II, 12 and 13 are in bad condition and have been repaired.

Inside the cloth case there are notes by D’Elia: “Questa è la traduzione cinese dei primi sei libri degli Elementi di Geometria di Euclide, fatta in collaborazione da Matteo Ricci S.J. e dal dott. Paolo Hsü Kuang-ch’i nel 1606–1607 a Pekino e da questo ultimo edita a Pechino nel 1607. | Non è però la 1^a edizione, ma l’edizione reprodotta dal dottore Leone Li Chih-tsao nel 1629. | È molto male andata e vi manca il 6^o libro: vi sono però sempre in male stato. P. D’Elia, S.J. 18–VI–56. | N.B. Il Libro 1^o è al Num. Jap Sin II, 12.

Cf. Luo Guang 羅光, Xu Guangqi zhuan 徐光啟傳 (Hong Kong, 1953), pp. 29–35; FR, II, pp. 356–357; TV II, p. 359; Mei Rongzhao 梅榮照, “Xu Guangqi de shuxue gongzuo 徐光啟的數學工作 (The mathematical work of Xu Guangqi) in HKC, pp. 143–161; Li Yan 1976, pp. 224–230; SHS, pp. 234–236; SKTY, pp. 2210–2211; Xu (1949), pp. 257–262; Pfister, p. 37 (erroneously gives 1605 as the date of publication of the Jihe yuanben, instead of 1607); Couplet, p. 6; Courant 4855–4860.

Shuli jingyun 數理精蘊.
T.p.: Yuzhi Shuli jingyun 御製數理精蘊
Dig. pdf (undated edition)
Cover collection title: Chizaotang Siku quanshu huiyao - Zibu - Shushulei 摛澡堂四庫全書薈要•子部•數術類
OCLC note for online edition: Originally published in 1723 (?) as part of the collection Lüli yuanyuan 律曆淵源, compiled ostensibly by He Guozong 何國宗, Mei Gucheng 梅榖成, and others, by direction of Qing Shengzu淸聖祖. Cf. Hummel. Eminent Chinese.
Local access dig.pdf [Folder-Shuli jingyun.pdf]

Yuanrong jiaoyi 圜容較義 / Matteo Ricci (Li Madou 利瑪竇) and Li Zhizao 李之藻 (1614)
Variant pronunciation: Huanrong jiaoyi.

"圜容較義 Huanrong jiaoyi (Treatise on isoperimetric figures), a translation of Clavius's De figuris isoperimetris done by Ricci and Li Zhizao in Beijing in 1609 and published by the latter in 1614.'--Cf. Gianni Criveller, "The Missionary Method of Matteo Ricci" in Tripod Autumn 2010 Vol. 30 - No. 158 400th Anniversary of Matteo Ricci 1552-1610.

Jap-Sin II, 14
Yuanrong jiaoyi 圜容較義
Dictated orally by Li Madou (Matteo Ricci) and written down by Li Zhizao.
One juan. Chinese bamboo paper in one volume with a cloth case. No date or place of publication.

The cover bears a label with the title in Chinese and a Latin inscription that reads: “P. Mathaei Ricci | De Geometria.”

There is a preface by Li Zhizao in four folios, dated Wanli 42 (1614). At the top of folio 1 the title of the book is given; below are the names of the translators: 西海利瑪竇授 | 浙西李之藻演. The text consists of twenty-four folios. There are ten columns in each half folio with twenty-two characters in 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.
This is a short geometrical treatise, consisting of eighteen propositions, on the proportional capacities of various figures and bodies, commencing with the triangle and proceeding to the circle and sphere.
According to Li Zhizao’s preface, this book was first published in Peking in the eleventh month of Wanli 36 (7 Dec. 1608–5 Jan. 1609). Our 1614 edition was published in Hangzhou by Wang Mengpu 汪孟樸.

Cf. Pfister, p. 39; Hsü 1949, pp. 274–277. D’Elia (FR, II, p. 178) gives the following places where the 1614 edition can be located: Vatican Library (Barber. Orient., 143.16); Biblioteca Vittorio Emanuele, Rome; Bibliothèque Nationale, Paris (Courant 4864); Roman Jesuit Archive (Jap-Sin II, 14); to this we may add: Academia Sinica, Taipei. For later editions see Siku quanshu 四庫全書 (天文算法類), Shoushange congshu 守山閣叢書 , Haishan xianguan congshu 海山仙館叢書 , Zhong Xi suanxue sizhong 中西算學四種 (published by the Saoyeshanfang 掃葉山房), Zhong-Xi suanxue congshu chubian 中西算學叢書初 , Xixue dacheng 西學大成 and Congshu jicheng chubian 叢書集成初編. --Cf. Albert Chan, Chinese books and documents in the Jesuit Archives in Rome, pp.292-293.

See online at World Digital Library (Chinese)
Haishan xianguan congshu 海山仙館叢書 ed. online at Hathi Trust.