An Elementary Course in Synthetic Projective Geometry

This concise course offers a straightforward entry into synthetic projective geometry, presenting the core ideas without relying on metrical constructions. The author smooths traditionally tricky topics—especially involution—by keeping the treatment purely projective, and replaces the usual dual‑column layout with a single, clear line of reasoning.

Rich examples guide listeners through visualizing space: lines correspond to circles through a fixed point, intersecting lines become familiar circle configurations, and the text invites you to explore these relationships yourself. With only a solid grounding in elementary geometry required, the material avoids heavy trigonometry or analytic methods, making it accessible to students who have studied circles and similar triangles.

The final chapter steps back to trace the historical development of pure geometry, giving context after the concepts have been mastered. Designed for both university freshmen and advanced secondary students, the book aims to bring the elegance of projective geometry into the classroom in an engaging, approachable way.