Galileo Galilei and the centers of gravity of solids: a reconstruction based on a newly discovered version of the conical frustum contained in manuscript UCLA 170/624
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引用次数: 0
Abstract
The manuscript UCLA 170/624 (ff. 75–76) contains Galileo’s proof of the center of gravity of the frustum of a cone, which was ultimately published as Theoremata circa centrum gravitatis solidorum in Discorsi e dimostrazioni matematiche intorno a due nuove scienze (Leiden 1638). The UCLA copy opens the possibility of giving a fuller account of Theoremata dating and development, and it can shed light on the origins of this research by the young Galileo. A comparison of the UCLA manuscript with the other extant copies is carried out to propose a new dating for the composition of the Theoremata. This dating will then be reconsidered in light of the mathematical content. The paper ends with a complete description of the content of the UCLA manuscript and the edition of Galileo’s text there contained.
加州大学洛杉矶分校170/624（ff.75-76）的手稿包含了伽利略对圆锥截头体重心的证明，该证明最终在Discorsi e dimostrazioni matematiche intorno a due nuove science（莱顿1638）中发表为Theoremata circa centrum gravitis solidorum。加州大学洛杉矶分校的副本为更全面地描述Theoremata的年代测定和发展提供了可能性，它可以揭示年轻的伽利略这项研究的起源。对加州大学洛杉矶分校的手稿和其他现存副本进行了比较，为《定理集》的组成提出了一个新的年代测定方法。然后将根据数学内容重新考虑这种年代测定。论文最后对加州大学洛杉矶分校手稿的内容和其中包含的伽利略文本的版本进行了完整的描述。
期刊介绍：
The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.
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