Projective geometry is simpler its constructions require only a ruler in projective geometry one never measures anything instead one relates one set of points to another by a projectivity the first two chapters of this book introduce the important concepts of the subject and provide the logical foundations the third and fourth chapters . The branch of geometry dealing with the properties and invariants of geometric figures under projection in older literature projective geometry is sometimes called higher geometry geometry of position or descriptive geometry cremona 1960 pp v vi the most amazing result arising in projective geometry is the duality principle which states that a duality exists between theorems . Projective properties of gures and the invariance by projection this is the rst treaty on projective geometry a projective property is a prop erty invariant by projection chasles et m obius study the most general grenoble universities 3
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