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首页> 外文期刊>Archives Internationales d'Histoire des Sciences >Metaphysical Problems Of The 13th- And 14th-centuryarabic Geometry: the Works Of Nasir Al-din Al-tusi, qutb Al-din Al-shirazi And Their Contemporaries
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Metaphysical Problems Of The 13th- And 14th-centuryarabic Geometry: the Works Of Nasir Al-din Al-tusi, qutb Al-din Al-shirazi And Their Contemporaries

机译：13世纪和14世纪阿拉伯几何的形而上学问题：Nasir Al-din Al-tusi，qutb Al-din Al-shirazi及其当代作品

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摘要

In this paper we are going to present an important example of how medieval Arabic scholars overstepped the restrictions went beyond the words derived from the authoritative metaphysics of Aristotle. The problem, addressed mainly in the treatises by Nasir al-Din al-Tusi (1201-1274) and his foremost disciple Qutb al-Din al-Shirazi (1236-1311), the two major intellectual figures of 13th c. Islam, whose works range over the religious sciences, philosophy and mathematical sciences, deals with the admissibility of the comparison of geometrical magnitudes of different curvature (such as a circular line and a straight line, the lateral surface of a cone or cylinder and a plane figure, that is, geometrical magnitudes of different species) by superimposing them upon one another by means of the motion of rolling (as, for example, it occurs when a circle rolls along a straight line, in such a case the trace passed by the circle after its returning to the primary position is equal to the length of its circumference).
机译：在本文中，我们将举一个重要的例子，说明中世纪的阿拉伯学者如何超越限制条件，超越了亚里士多德权威形而上学所衍生的词语。这个问题主要在纳西尔·丁丁·图西（Nasir al-Din al-Tusi）（1201-1274）和他最重要的门徒库特布·丁丁·希尔拉西（Qutb al-Din al-Shirazi）（1236-1311）的论着中解决，这是十三世纪的两个主要知识分子。伊斯兰教的工作范围涉及宗教科学，哲学和数学科学，涉及可比较不同曲率的几何量（例如，圆线和直线，圆锥或圆柱的侧面和平面）的可接受性通过旋转运动将它们彼此叠加（例如，当圆沿直线滚动时会发生这种情况），即在这种情况下，返回初始位置后的圆等于其圆周的长度）。

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