An Elementary Course in Synthetic Projective Geometry

A systematic introduction to synthetic projective geometry that starts with one-to-one correspondence and fundamental forms, then develops core projective properties including Desargues' theorem, harmonic conjugates, and the notion of projectivity. It examines combinations of projectively related forms, pencils and point-rows of the second order, involution, and loci such as cones, while introducing metrical constructions by means of elements at infinity. Numerous examples and problems reinforce techniques and invite further exploration, and a closing chapter gives a consecutive account of the subject's historical development for students who have completed the course.