| PART I. |
| | PAGE |
| Introduction | [1]-[7] |
| CHAPTER I. |
| Scepticism and Science. Beginning of Knowledge | [8]-[13] |
| CHAPTER II. |
| Apprehension of Nature. Intelligence. Study of Arrangement or Shape | [14]-[20] |
| CHAPTER III. |
| The Elements of Knowledge | [21]-[23] |
| CHAPTER IV. |
| Theory and Practice | [24]-[28] |
| CHAPTER V. |
| Knowledge: Self-Elements | [29]-[34] |
| CHAPTER VI. |
| Function of Mind. Space against Metaphysics. Self-Limitation and its Test. A Plane World | [35]-[46] |
| CHAPTER VII. |
| Self Elements in our Consciousness | [47]-[50] |
| CHAPTER VIII. |
| Relation of Lower to Higher Space. Theory of the Æther | [51]-[60] |
| CHAPTER IX. |
| Another View of the Æther. Material and Ætherial Bodies | [61]-[66] |
| CHAPTER X. |
| Higher Space and Higher Being. Perception and Inspiration | [67]-[84] |
| CHAPTER XI. |
| Space the Scientific Basis of Altruism and Religion | [85]-[99] |
| PART II. |
| CHAPTER I. |
| Three-space. Genesis of a Cube. Appearances of a Cube to a Plane-being | [101]-[112] |
| CHAPTER II. |
| Further Appearances of a Cube to a Plane-being | [113]-[117] |
| CHAPTER III. |
| Four-space. Genesis of a Tessaract; its Representation in Three-space | [118]-[129] |
| CHAPTER IV. |
| Tessaract moving through Three-space. Models of the Sections | [130]-[134] |
| CHAPTER V. |
| Representation of Three-space by Names and in a Plane | [135]-[148] |
| CHAPTER VI. |
| The Means by which a Plane-being would Acquire a Conception of our Figures | [149]-[155] |
| CHAPTER VII. |
| Four-space: its Representation in Three-space | [156]-[166] |
| CHAPTER VIII. |
| Representation of Four-space by Name. Study of Tessaracts | [167]-[176] |
| CHAPTER IX. |
| Further Study of Tessaracts | [177]-[179] |
| CHAPTER X. |
| Cyclical Projections | [180]-[183] |
| CHAPTER XI. |
| A Tessaractic Figure and its Projections | [184]-[194] |
| APPENDICES. |
| A. | 100 Names used for Plane Space | [197] |
| B. | 216 Names used for Cubic Space | [198] |
| C. | 256 Names used for Tessaractic Space | [200]-[201] |
| D. | List of Colours, Names, and Symbols | [202]-[203] |
| E. | A Theorem in Four-space | [204]-[205] |
| F. | Exercises on Shapes of Three Dimensions | [205]-[207] |
| G. | Exercises on Shapes of Four Dimensions | [207]-[209] |
| H. | Sections of the Tessaract | [209]-[217] |
| K. | Drawings of the Cubic Sides and Sections of the Tessaract (Models 1-12) with Colours and Names | [219]-[241] |