Titlebook: Chasles and the Projective Geometry; The Birth of a Globa Paolo Bussotti Book 2024 The Editor(s) (if applicable) and The Author(s), under e

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978-3-031-54268-8The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Introduction,ing chapters. Therefore, after an explanation of the purposes of this work, I will offer the state of the art with respect to the literature on Chasles. Since he was profoundly influenced by the milieu of the École Polytechnique, where he was student, in the second section the main aspects concernin

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,Chasles’ Foundational Programme for Geometry,h support my interpretation concerning the existence of his foundational programme, this chapter presents four sections, divided into several subsections. One of my main theses is that Chasles tried to explain the metric properties within a projective context. He performed this task through a partic

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,Chasles’ Philosophy of Duality,in its epistemological and ontological aspects. Dualisms became the creed of Chasles’ philosophy. The basis of this idea derived from the principle of duality, born in projective geometry and extended by Chasles to several aspects of mechanics and philosophy. The chapter is divided into five section

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Chasles and the Ellipsoid Attraction,aticians devoted their research, starting from Newton’s . onwards. Therefore, when Chasles had begun to deal with this topic the literature was already abundant. In the first section, I recall the main steps concerning the history of this subject because they are fundamental to understand the novelt

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hy.Studies the historical interactions between pure and analThis monograph meticulously examines the contributions of French mathematician Michel Chasles to 19.th.-century geometry. Through an in-depth analysis of Chasles‘ extensive body of work, the author examines six pivotal arguments which colle

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Narayan Bulusu,Joachim Coche,Ghislain Yanouceeded. The projective properties of the conics and of the transformations between conics, in particular polarity, played a crucial role in his research. Therefore, the attraction of ellipsoid is a further result that can be included within Chasles’ foundational programme.