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首页> 外文期刊>Revue d Histoire des Mathematiques: history of mathematics review >MATHEMATICS AND HYDRAULICS BETWEEN TURIN AND FERRARA IN THE 18TH CENTURY: THE WORKS BY F. D. MICHELOTTI AND T. BONATI
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MATHEMATICS AND HYDRAULICS BETWEEN TURIN AND FERRARA IN THE 18TH CENTURY: THE WORKS BY F. D. MICHELOTTI AND T. BONATI

机译：18世纪都灵和费拉拉之间的数学和液压学：F。D. Michelotti和T. Bonati的作品

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摘要

During the 18th century mathematical studies devoted to hydraulic and hydrodynamics applications become relevant. The importance of studies both from a theoretical and a practical point of view is well documented by a remarkable increase of papers about the motion of waters. Many mathematicians were involved in this research field. They were asked to describe the motion of waters by means of mathematical formulas. Unfortunately, the motion of water can't be described by Euler's equations. That's why in this period many practical experiments were conducted in order to find a better description of the motion of waters in rivers and streams. After a brief overview of the condition of Italian studies about hydraulics and hydrodynamics in the 17th century, we will focus on case studies of Turin and Ferrara. In 1763 the King Carlo Emanuele III of Savoy financially supported the construction of a laboratory for hydraulic experiments in Turin and appointed Francesco Domenico Michelotti (1710-1787), professor of hydraulics at the university of Turin, with these experiments. In the same period another mathematician from Ferrara, Teodoro Bonati (1726-1820), was involved in similar studies and experiments on behalf of the Papal States. The scientific relationship between Michelotti and Bonati will be presented in this article, starting from the examination of the correspondence between the two mathematicians in the period 1768-1772, soon after the publication of the first volume of the Sperimenti idraulici by Michelotti.
机译：在18世纪的数学研究中，致力于液压和流体动力学应用变得相关。从理论和实践角度来看，研究的重要性通过有关水运动的论文的显着增加来证明。许多数学家参与了这个研究领域。他们被要求通过数学公式来描述水的运动。不幸的是，水的运动无法由Euler的方程式描述。这就是为什么在此期间进行了许多实践实验，以便更好地描述河流和溪流中水的运动。在简要介绍了17世纪意大利有关液压和流体动力学的研究状况之后，我们将重点关注都灵和费拉拉的案例研究。 1763年，Savoy的Carlo Emanuele III在财务上支持了都灵的液压实验实验室的建设，并任命了都灵大学水力学教授Francesco Domenico Michelotti（1710-1787）。在同一时期，另一位来自费拉拉（Ferrara）的数学家Teodoro Bonati（1726-1820）代表教皇国家参与了类似的研究和实验。本文将在1768 - 1772年期间对米歇尔蒂（Michelotti）和博纳蒂（Bonati）之间的科学关系，从对两位数学家之间的对应关系开始。

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