| Foreword | |

| Foundations and Elementary Properties | 1 |

| Independence | 8 |

| Perspectivity and Projectivity. Fundamental Properties | 16 |

| Perspectivity by Decomposition | 24 |

| Distributivity. Equivalence of Perspectivity and Projectivity | 32 |

| Properties of the Equivalence Classes | 42 |

| Dimensionality | 54 |

| Theory of Ideals and Coordinates in Projective Geometry | 63 |

| Theory of Regular Rings | 69 |

| Appendix 1 | 82 |

| Appendix 2 | 84 |

| Appendix 3 | 90 |

| Order of a Lattice and of a Regular Ring | 93 |

| Isomorphism Theorems | 103 |

| Projective Isomorphisms in a Complemented Modular Lattice | 117 |

| Definition of L-Numbers; Multiplication | 130 |

| Appendix | 133 |

| Addition of L-Numbers | 136 |

| Appendix | 148 |

| The Distributive Laws, Subtraction; and Proof that the L-Numbers form a Ring | 151 |

| Appendix | 158 |

| Relations Between the Lattice and its Auxiliary Ring | 160 |

| Further Properties of the Auxiliary Ring of the Lattice | 168 |

| Special Considerations. Statement of the Induction to be Proved | 177 |

| Treatment of Case I | 191 |

| Preliminary Lemmas for the Treatment of Case II | 197 |

| Completion of Treatment of Case II. The Fundamental Theorem | 199 |

| Perspectivities and Projectivities | 209 |

| Inner Automorphisms | 217 |

| Properties of Continuous Rings | 222 |

| Rank-Rings and Characterization of Continuous Rings | 231 |

| Center of a Continuous Geometry | 240 |

| Appendix 1 | 245 |

| Appendix 2 | 259 |

| Transitivity of Perspectivity and Properties of Equivalence Classes | 264 |

| Minimal Elements | 277 |

| List of Changes from the 1935-37 Edition and comments on the text by Israel Halperin | 283 |

| Index | 297 |