CHAPTER I. THE FIVE GROUPS OF AXIOMSCHAPTER II. THE COMPATIBILITY AND MUTUAL INDEPENDENCE OF THE AXIOMS.CHAPTER III. THE THEORY OF PROPORTION.CHAPTER IV. THE THEORY OF PLANE AREAS.CHAPTER V. DESARGUES'S THEOREM.CHAPTER VI. PASCAL'S THEOREM.CHAPTER VII. GEOMETRICAL CONSTRUCTIONS BASED UPON THE AXIOMS I-V.