Elements Of Projective Geometry (1893) - Luigi Cremona - Bog

Elements of Projective Geometry is a comprehensive textbook on the subject of projective geometry, written by the Italian mathematician Luigi Cremona and first published in 1893. Projective geometry is a branch of mathematics that deals with the properties of geometric figures and spaces that are invariant under projection, a process that maps points and lines in one space onto points and lines in another space. The book is divided into three parts, each of which covers a different aspect of projective geometry. The first part introduces the basic concepts and definitions of projective geometry, including projective transformations, the cross-ratio, and the duality principle. The second part focuses on the geometry of conics, including the classification of conics and the properties of tangents, poles, and polar lines. The third part covers the geometry of curves and surfaces, including the theory of ruled surfaces and the classification of cubic surfaces.Throughout the book, Cremona presents a rigorous and systematic approach to projective geometry, with numerous examples and exercises to help readers develop their understanding of the subject. The book also includes a detailed bibliography of works on projective geometry, making it a valuable resource for students and researchers in the field. Despite its age, Elements of Projective Geometry remains a classic text in the field and continues to be widely used and studied today.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.