Amazon.com: Elements of Projective Geometry: Third Edition (Dover Phoenix Editions): 9780486442662: Cremona, Luigi: Books

An outstanding work by one of the foremost nineteenth-century European geometers, this treatise remains among the best and most complete treatments of projective geometry. Originally written in Italian, it has been translated into French, German, and English, and it has been instrumental in promoting knowledge of projective geometry.
Comprehensive in its coverage of the entire field as constructed on the basis of Euclidean geometry, the text features detailed proofs of all fundamental principles. More than 150 examples and problems appear with complete solutions. Emphasis throughout the book is placed upon the subject’s constructive aspects, with more than 250 diagrams that illustrate basic principles. Anyone with a knowledge of ordinary geometry can begin this book without further preparation.
Subjects include homology, the law of duality, geometric forms, harmonic sections, anharmonic rations, the theorems of Pascal and Briachon, conjugate diameters, Desargues’ theorem, foci, the construction of projective forms, the theory of involution, Carnot’s theorem, the theory of pole and polar, problems of the second degree, the center and diameter of a conic, polar reciprocal figures, and self-corresponding elements. In addition to general problems, the author treats scores of specific cases, providing theorems, construction problems, and proofs for each.