阿波罗尼厄斯和他的读者。

IF 0.2 4区 哲学 Q4 HISTORY & PHILOSOPHY OF SCIENCE Bollettino di Storia delle Scienze Matematiche Pub Date : 2010-01-01 DOI:10.1400/157163
R. Rashed
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引用次数: 1

摘要

阿波罗尼乌斯在他的《圆锥学》第二卷的命题14中,证明了渐近线和双曲线彼此无限接近而不相交。这个命题求助于无限的概念,以及曲线与渐近线之间的距离序列的无限构造。但是这个"无限"的概念必然会给数学家和哲学家带来难题,自从双子座和普罗克劳斯。这些问题被al- sijzi(10世纪下半叶)和他的追随者重新提出。在这篇文章中,读者将会发现这个问题的历史概况,对al- qummi (al- sijzi的继承者)的工作的分析,以及关于渐近行为研究的新材料的批判版和翻译。
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L'Asymptote : Apollonius et ses lecteurs.
In proposition 14 of the second book of his Conics, Apollonius proves that the asymptotes and the hyperbola approach one another indefinitely without meeting. This proposition appeals to the notion of infinity and of infinite construction of the sequences of distances between the curve and its asymptote. But this notion of 'infinity' was bound to create problems for both mathematicians and philosophers, since Geminus and Proclus. These problems were taken anew by al-Sijzī (second half of 10 th century) and his followers. In this article, the reader will find an outline of the history of this question, an analysis of the work of al-Qummī (a successor of al-Sijzī), as well as a critical edition and translation of new materials concerning the study of asymptotic behaviour.
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来源期刊
Bollettino di Storia delle Scienze Matematiche
Bollettino di Storia delle Scienze Matematiche HISTORY & PHILOSOPHY OF SCIENCE-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
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