Chasles and the Projective Geometry

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

af Paolo Bussotti

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 ... (Læs mere)