Abstract This article considers the sixteenth-century debate between Jacques Peletier du Mans and Christoph Clavius over the admissibility of superposition as a means to demonstrate the equality of figures in Euclidean geometry. It notably aims to determine, in the first part, which understanding of superposition motivated its rejection by Peletier, especially whether and to which extent his critical position towards this method was related to its kinematic implications. In the second part, the article presents the critical response Clavius addressed to Peletier in order to defend the legitimacy of superposition in Euclid's Elements .

中文翻译：

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Peletier 和 Clavius 之间关于叠加的争论

摘要 本文考虑了 Jacques Peletier du Mans 和 Christoph Clavius 之间在 16 世纪关于叠加作为证明欧几里得几何中图形相等的手段的可接受性的争论。在第一部分，它的主要目的是确定对叠加的理解是什么促使佩莱蒂埃拒绝了它，特别是他对这种方法的批评立场是否以及在多大程度上与其运动学含义有关。在第二部分，文章提出了克拉维乌斯为了捍卫欧几里得元素中叠加的合法性而对佩莱蒂埃作出的批判性回应。