明刊《几何原本》第六卷第五界注释来源探讨  

A Study on the Sources of Commentaries on the 5th Defination in the 6th Book of Jihe Yuanben Printed in Ming Dynasty

作　　者：王宏晨 萨日娜[1] 纪志刚[1] WANG Hongchen;Sarina;JI Zhigang(School of History and Culture of Science,Shanghai Jiao Tong University,Shanghai,200240)

机构地区：[1]上海交通大学科学史与科学文化研究院,上海200240

出　　处：《自然辩证法通讯》2025年第4期66-74,共9页Journal of Dialectics of Nature

基　　金：国家社会科学基金一般项目“汉译《几何原本》的版本整理与翻译研究”(项目编号:21BZS021);海外藏近代中国北部边疆科学考察文献整理与研究(项目编号:23&ZD262)。

摘　　要：韩应陛跋本《几何原本》是否为万历丁未初刻,前人尚存疑意。崇祯初年《天学初函》本的第六卷第五界注释较韩跋本有千余字异文,为解决此问题提供了文本线索。本文将这两个明刊本第六卷第五界的注释与克拉维乌斯拉丁语1574年首版及其后续增补本分别进行比对,证明韩跋本此篇注释在结构与细节方面均与克氏首版相吻合,而初函本注释特有的中率相结之理、带分数通分法与“借象之术”则来自克氏后续增补本,从而为韩跋本是万历丁未初刻本提供了有力证据。There has been uncertainty among previous researchers over whether the version of Jihe Yuanben with an epilogue by Han Yingbi(Version A)was printed as the first edition in 1607.In comparison,a different text of more than a thousand characters exists in the commentary on the 5th definition in the 6th book of the version of Jihe Yuanben from the First Collection of Writings on Heavenly Learning(Version B)printed in the early reign of Emperor Chongzhen,providing textual clues for solving the mystery.This paper compares commentaries on the 5th definition in the 6th book of both aforementioned versions printed in Ming Dynasty with their counterparts in the Latin versions by Clavius,the first print in 1574 as well as later enlarged editions,with the findings are as follows:this text of commentary in Version A corresponds to Clavius’first printed Elements in its structure and details,while specific paragraphs in Version B,regarding the theory of component intermediate ratios,the method of conversion of ratios in mixed fractions to ratios in integral numbers,and the art of Jiexiang,originate from Clavius’later enlarged editions,thereby providing convincing evidence that Version A was printed as the first edition in 1607.

关 键 词：韩跋本 初函本 克拉维乌斯版《原本》 

分 类 号：N09[自然科学总论—科学技术哲学] TS891[轻工技术与工程]