correspondences and projective properties. The beginning of the course outlines the author's motivations and pedagogical approach, which departs from traditional methods to provide a clearer understanding of synthetic projective geometry. Lehmer explains the foundational concepts, such as one-to-one correspondence and the relationships among different geometric forms, like point-rows and pencils of rays. He stresses the necessity of a solid grounding in elementary geometry for students, suggesting that those with additional knowledge in analytical geometry and calculus will find the material easier to comprehend. This foundation prepares readers for a deeper exploration of projective relations, constructions, and theorems laid out in subsequent chapters. (This is an automatically generated summary.)