Paris, BULAC Ara 606 and its relation to the Arabic Euclidean transmission attributed to al-Ḥajjāj

IF 0.5 3区哲学 Q3 HISTORY & PHILOSOPHY OF SCIENCE

Historia Mathematica Pub Date : 2025-06-01 DOI:10.1016/j.hm.2025.04.002

Gregg De Young

{"title":"Paris, BULAC Ara 606 and its relation to the Arabic Euclidean transmission attributed to al-Ḥajjāj","authors":"Gregg De Young","doi":"10.1016/j.hm.2025.04.002","DOIUrl":null,"url":null,"abstract":"<div><div>I introduce a recently discovered Arabic manuscript containing a version of Euclid's <em>Elements</em>: Paris, BULAC, Ara 606. In an attempt to situate Ara 606 within the Arabic Euclidean tradition, I survey the manuscript evidence currently known to me reporting characteristics of the tradition ascribed by medieval authors to al-Ḥajjāj and show that Ara 606 includes all the formulations explicitly attributed to al-Ḥajjāj. These features suggest that Ara 606 belongs to the Ḥajjāj tradition, along with Mumbai, Mullā Fīrūz, R.I.6 studied by <span><span>Brentjes</span></span> (<span><span>2006</span></span>, <span><span>2018</span></span>).</div><div>Another surprising result is that St. Petersburg, Akad. Nauk, S-2145 appears to be a hybrid manuscript, containing a traditional Isḥāq-Thābit version in books I–VI but containing a version very similar to Ara 606 in books VII–XIII. These two manuscripts thus provide an important complement to the Mumbai manuscript because they contain a Ḥajjāj-related version similar to that found in Mumbai but extending beyond book IX, where the Mumbai manuscript breaks off.</div></div>","PeriodicalId":51061,"journal":{"name":"Historia Mathematica","volume":"71 ","pages":"Pages 87-126"},"PeriodicalIF":0.5000,"publicationDate":"2025-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Historia Mathematica","FirstCategoryId":"98","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0315086025000254","RegionNum":3,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}

引用次数: 0

Abstract

I introduce a recently discovered Arabic manuscript containing a version of Euclid's Elements: Paris, BULAC, Ara 606. In an attempt to situate Ara 606 within the Arabic Euclidean tradition, I survey the manuscript evidence currently known to me reporting characteristics of the tradition ascribed by medieval authors to al-Ḥajjāj and show that Ara 606 includes all the formulations explicitly attributed to al-Ḥajjāj. These features suggest that Ara 606 belongs to the Ḥajjāj tradition, along with Mumbai, Mullā Fīrūz, R.I.6 studied by Brentjes (2006, 2018).

Another surprising result is that St. Petersburg, Akad. Nauk, S-2145 appears to be a hybrid manuscript, containing a traditional Isḥāq-Thābit version in books I–VI but containing a version very similar to Ara 606 in books VII–XIII. These two manuscripts thus provide an important complement to the Mumbai manuscript because they contain a Ḥajjāj-related version similar to that found in Mumbai but extending beyond book IX, where the Mumbai manuscript breaks off.

查看原文本刊更多论文

巴黎，BULAC Ara 606及其与阿拉伯欧几里得传播归因于al-Ḥajjāj的关系

我介绍一份最近发现的阿拉伯手稿，里面有欧几里得的《几何要素》的一个版本：巴黎，BULAC, Ara 606。为了将Ara 606置于阿拉伯欧几里得传统中，我调查了我目前所知道的手稿证据，这些证据报告了中世纪作者将传统归因于al-Ḥajjāj的特征，并表明Ara 606包括明确归因于al-Ḥajjāj的所有公式。这些特征表明，Ara 606与Brentjes（2006, 2018）研究的孟买、Mullā Fīrūz、R.I.6一起属于Ḥajjāj传统。另一个令人惊讶的结果是圣彼得堡，阿卡德。Nauk， S-2145似乎是一份混合手稿，在第I-VI册中包含一个传统的Isḥāq-Thābit版本，但在第viii - xiii册中包含一个非常类似于Ara 606的版本。因此，这两份手稿对孟买手稿提供了重要的补充，因为它们包含一个Ḥajjāj-related版本，与在孟买发现的版本相似，但超出了第九卷，孟买手稿中断的地方。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Historia Mathematica 数学-科学史与科学哲学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

72 days

期刊介绍： Historia Mathematica publishes historical scholarship on mathematics and its development in all cultures and time periods. In particular, the journal encourages informed studies on mathematicians and their work in historical context, on the histories of institutions and organizations supportive of the mathematical endeavor, on historiographical topics in the history of mathematics, and on the interrelations between mathematical ideas, science, and the broader culture.