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Circles and spheres are central objects in geometry. This work looks at systems of circles and spheres and the geometry and groups associated to them. It also examines the differential and projective geometry of the space of various spheres in a given space.

This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing fascinating information on their lives and circumstances. The book also includes a valuable introductory essay by Professor Jeremy Gray, who comments on changes that have taken place in the study of history and mathematics since the initial publication of this...