Comparison of Methods and Subject Matter of Projective Geometry Contained in a New European Text with Those Presented in Standard American Texts

The purpose of this thesis will be to present a detailed comparison of the methods, manner, and sequence of presentation of certain subject matter in projective geometry as found in two standard American texts and that found in a recently published European text. The three books are, Projective Geometry by Veblen and Young, Projective Geometry by Winger, and Projeetivni geometrie by Vaclav Havaty. The latter is the European text and is written in the Czech language. A fourth source for certain particular considerations,especially those of collineation, is the set of lecture notes obtained from the course Geometric Transformations as given by Dr. H. P. Pettit. By such a comparison We hope to evaluate, not so much the American texts, as this new European work, for any original contributions to the field of projective geometry, be it in subject matter or in the mode of presentation. Any such new items will be emphasized in the course of the discussion