《测圆海镜》版本源流考

On the Origin and Evolution of Li Ye’s Ceyuan Haijing

[目的/意义]《测圆海镜》,又名《测圆海镜细草》,金末元初李冶1248年撰,是我国古代的一部数学名著,也是现存最早的一部天元术代表作,对后世影响深远。它自李冶去世后被刊刻,在元、明、清三代多次再版。[方法/过程]借助各数据库馆藏善本、各家书目、年谱和前人校勘成果等文献资料,在前人研究的基础上对《测圆海镜》的各家版本的关系进行了系统梳理。[结果/结论]《测圆海镜》可分为两大版本系统:一是《测圆海镜(细草)》十二卷本,二是《测圆海镜分类释术》十卷本。以图示的形式展示不同时间段出现的各《测圆海镜》版本,揭示各主要版本之间的源流关系。

[Purpose/significance]Ceyuan Haijing,also known as Ceyuan Haijing Xicao,was written by Li Ye in the year of 1248 at the end of the Jin Dynasty and the beginning of the Yuan Dynasty.It is a mathematical masterpiece in ancient China and the earliest extant representative work of celestial element method.It was engraved after the death of Li Ye and reprinted many times in the Yuan Dynasty,Ming Dynasty and Qing Dynasty.[Method/process]With the help of the rare books in databases,various bibliographies,chronicles and the previous collating achievements,this paper is dedicated to make a systematic analysis of the relationship between different editions of Ceyuan Haijing based on the previous researches.[Result/conclusion]The edition of Ceyuan Haijing can be divided into two version systems:one is the 12 volumes of Ceyuan Haijing(Xicao)and the other is the 10 volumes of Ceyuan HaiJing Fenlei Shishu.This paper shows the versions of Ceyuan Haijing in different periods and reveals the origin and development of the main versions of Ceyuan Haijing in pictorial forms.