Chasles and the Projective Geometry (eBook, PDF)
Paolo Bussotti
eBook, PDF

Chasles and the Projective Geometry (eBook, PDF)

The Birth of a Global Foundational Programme for Mathematics, Mechanics and Philosophy

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This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric properties by means of this specific polarity-a foundational argument. Beyond the celebrated "Chasles theorem," he extends his analysis to the movement of a rigid body, employing concepts derived from pr...

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