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Index
A NEW ERA OF THOUGHT.
PREFACE.
TABLE OF CONTENTS.
INTRODUCTORY NOTE TO PART I.
PART I.
INTRODUCTION.
CHAPTER I. SCEPTICISM AND SCIENCE. BEGINNING OF KNOWLEDGE.
CHAPTER II. APPREHENSION OF NATURE. INTELLIGENCE. STUDY OF ARRANGEMENT OR SHAPE.
CHAPTER III. THE ELEMENTS OF KNOWLEDGE.
CHAPTER IV. THEORY AND PRACTICE.
CHAPTER V. KNOWLEDGE: SELF-ELEMENTS.
CHAPTER VI. FUNCTION OF MIND. SPACE AGAINST METAPHYSICS. SELF-LIMITATION AND ITS TEST. A PLANE WORLD.
CHAPTER VII. SELF ELEMENTS IN OUR CONSCIOUSNESS.
CHAPTER VIII. RELATION OF LOWER TO HIGHER SPACE. THEORY OF THE ÆTHER.
CHAPTER IX. ANOTHER VIEW OF THE ÆTHER. MATERIAL AND ÆTHERIAL BODIES.
CHAPTER X. HIGHER SPACE AND HIGHER BEING. PERCEPTION AND INSPIRATION.
CHAPTER XI. SPACE THE SCIENTIFIC BASIS OF ALTRUISM AND RELIGION.
PART II.
CHAPTER I. THREE-SPACE. GENESIS OF A CUBE. APPEARANCES OF A CUBE TO A PLANE-BEING.
CHAPTER II. FURTHER APPEARANCES OF A CUBE TO A PLANE-BEING.
CHAPTER III. FOUR-SPACE. GENESIS OF A TESSARACT. ITS REPRESENTATION IN THREE-SPACE.
CHAPTER IV. TESSARACT MOVING THROUGH THREE-SPACE. MODELS OF THE SECTIONS.
CHAPTER V. REPRESENTATION OF THREE-SPACE BY NAMES, AND IN A PLANE.
Naming a Piece of Space.
CHAPTER VI. THE MEANS BY WHICH A PLANE-BEING WOULD ACQUIRE A CONCEPTION OF OUR FIGURES.
CHAPTER VII. FOUR-SPACE: ITS REPRESENTATION IN THREE-SPACE.
CHAPTER VIII. REPRESENTATION OF FOUR-SPACE BY NAME. STUDY OF TESSARACTS.
CHAPTER IX. FURTHER STUDY OF TESSARACTS.
CHAPTER X. CYCLICAL PROJECTIONS.
CHAPTER XI. A TESSARACTIC FIGURE AND ITS PROJECTIONS.
APPENDICES.
APPENDIX A.
APPENDIX B.
APPENDIX C.
APPENDIX D.
APPENDIX E. A Theorem in Four-space.
APPENDIX F.
Exercises on Shapes of Three Dimensions.
Answers.
Further Exercises in Shapes of Three Dimensions.
Answers.
Exercises on Shapes of Four Dimensions.
Answers.
APPENDIX H.
Sections of Cube and Tessaract.
A Description of Figures 26 to 41.
APPENDIX K.
Transcriber’s Notes
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