Publisher's Synopsis
Contents. Chapter I. The axioms and their independence. Introductory statement of the axioms Categorical and disjunctive systems Independence proofs and historical remarks on axioms IX-XII Finite systems proving the independence of I-VIIIChapter II. General properties of space. Definition and properties of line, plane, space Generalizations of order. Regions Continuity Parallel linesChapter III. Projective and metric geometry. Ideal elements defined independently of XI and XII Fundamental theorems of projective geometry Definition of congruence relations The axiom system as categorical
