Hinton - The Fourth Dimension.pdf

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40 THE FOURTH DIMENSION without a word it is because the soul was occupied with the assertion of itself in other ways than that of knowledge. When it took up the task in earnest of knowing this material world in which it found itself, and of diverting the course of inanimate nature, from that most objective aim came, reflected back as from a mirror, its knowledge of itself.
CHAPTER V THE SECOND CHAPTER IN THE HISTORY OF FOUR SPACE LOBATCHEWSKY, BOLYAI, AND GAUSS BEFORE entering on a description of the word of Lobatchewsky and Bolyai it will not be out of place to give a brief account of them, the materials for which are to be found in an article by Franz Schmidt in the forty-second volume of the Mathematische Annalen, and in Engel’s edition of Lobatchewsky. Lobatchewsky was a man of the most complete and wonderful talents. As a youth he was full of vivacity, carrying his exuberance so far as to fall into serious trouble for hazing a professor, and other freaks. Saved by the good offices of the mathematician Bartels, who appreciated his ability, he managed to restrain himself within the bounds of prudence. Appointed professor at his own University, Kasan, he entered on his duties under the regime of a pietistic reactionary, who surrounded himself with sycophants and hypocrites. Esteeming probably the interests of his pupils as higher than any attempt at a vain resistance, he made himself the tyrant’s right-hand man, doing an incredible amount of teaching and performing the most varied official duties. Amidst all his activates he found time to make important contributions to science. His theory of parallels is most 41
Page 3 and 4: THE FOURTH DIMENSION
Page 5 and 6: THE FOURTH DIMENSION BY C. HOWARD H
Page 7 and 8: PREFACE I HAVE endeavoured to prese
Page 9 and 10: CONTENTS CHAP. PAGE. I. FOUR-DIMENS
Page 11 and 12: THE FOURTH DIMENSION ————
Page 13 and 14: FOUR-DIMENSIONAL SPACE 3 existence
Page 15 and 16: FOUR-DIMENSIONAL SPACE 5 Bringing i
Page 17 and 18: THE ANALOGY OF A PLANE WORLD 7 him.
Page 19 and 20: THE ANALOGY OF A PLANE WORLD 9 to a
Page 21 and 22: THE ANALOGY OF A PLANE WORLD 11 Aga
Page 23 and 24: THE ANALOGY OF A PLANE WORLD 13 sec
Page 25 and 26: CHAPTER III THE SIGNIFICANCE OF A F
Page 27 and 28: SIGNIFICANCE OF A FOUR-DIMENSIONAL
Page 33 and 34: CHAPTER IV THE FIRST CHAPTER IN THE
Page 35 and 36: THE FIRST CHAPTER IN THE HISTORY OF
Page 49: THE FIRST CHAPTER IN THE HISTORY OF
Page 53 and 54: SECOND CHAPTER IN THE HISTORY OF FO
Page 71 and 72: CHAPTER VI THE HIGHER WORLD IT is i
Page 73 and 74: THE HIGHER WORLD 63 dimensions. His
Page 75 and 76: THE HIGHER WORLD 65 If now he turns
Page 77 and 78: THE HIGHER WORLD 67 to him that, by
Page 79 and 80: THE HIGHER WORLD 69 simply the plan
Page 81 and 82: THE HIGHER WORLD 71 turn these rods
Page 83 and 84: THE HIGHER WORLD 73 revolution, the
Page 85 and 86: THE HIGHER WORLD 75 the mode of act
Page 87 and 88: THE EVIDENCES FOR A FOURTH DIMENSIO
Page 95 and 96: CHAPTER VIII THE USE OF FOUR DIMENS
Page 97 and 98: 5 THE USE OF FOUR DIMENSIONS IN THO
Page 99 and 100: THE USE OF FOUR DIMENSIONS IN THOUG
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THE USE OF FOUR DIMENSIONS IN THOUG
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CHAPTER IX APPLICATION TO KANT’S
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APPLICATION TO KANT’S THEORY OF E
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3 APPLICATION TO KANT’S THEORY OF
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A FOUR-DIMENSIONAL FIGURE 123 The r
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A FOUR-DIMENSIONAL FIGURE 125 new d
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A FOUR-DIMENSIONAL FIGURE 127 pick
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A FOUR-DIMENSIONAL FIGURE 129 Now s
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A FOUR-DIMENSIONAL FIGURE 131 of me
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A FOUR-DIMENSIONAL FIGURE 133 note
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A FOUR-DIMENSIONAL FIGURE 135 These
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NOMENCLATURE AND ANALOGIES 137 to a
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NOMENCLATURE AND ANALOGIES 139 null
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NOMENCLATURE AND ANALOGIES 141 laye
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NOMENCLATURE AND ANALOGIES 143 a li
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NOMENCLATURE AND ANALOGIES 145 oppo
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NOMENCLATURE AND ANALOGIES 147 the
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NOMENCLATURE AND ANALOGIES 149 dime
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NOMENCLATURE AND ANALOGIES 151 larg
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NOMENCLATURE AND ANALOGIES 153 axes
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NOMENCLATURE AND ANALOGIES 155 lie
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CHAPTER XII THE SIMPLEST FOUR-DIMEN
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THE SIMPLEST FOUR-DIMENSIONAL SOLID
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Purple Red THE SIMPLEST FOUR-DIMENS
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Light blue Gren Light purple THE SI
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REMARKS ON THE FIGURES 179 ochre cu
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REMARKS ON THE FIGURES 181 for it i
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REMARKS ON THE FIGURES 183 that is
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REMARKS ON THE FIGURES 185 yellow l
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REMARKS ON THE FIGURES 187 As the r
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REMARKS ON THE FIGURES 189 cubes, w
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4 4 REMARKS ON THE FIGURES 191 The
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REMARKS ON THE FIGURES 193 face or
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REMARKS ON THE FIGURES 195 face in
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REMARKS ON THE FIGURES 197 space, a
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REMARKS ON THE FIGURES 199 Hence wh
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REMARKS ON THE FIGURES 201 sections
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CHAPTER XIV * A RECAPITULATION AND
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RECAPITULATION AND EXTENSION 205 ou
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RECAPITULATION AND EXTENSION 207 ha
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RECAPITULATION AND EXTENSION 209 Bu
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RECAPITULATION AND EXTENSION 211 We
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RECAPITULATION AND EXTENSION 213 Th
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RECAPITULATION AND EXTENSION 215 th
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RECAPITULATION AND EXTENSION 217 In
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RECAPITULATION AND EXTENSION 221 ta
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RECAPITULATION AND EXTENSION 223 If
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RECAPITULATION AND EXTENSION 227 di
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RECAPITULATION AND EXTENSION 229 If
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APPENDIX I THE MODELS IN Chapter XI
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APPENDIX I: THE MODELS 233 in an op
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APPENDIX I: THE MODELS 235 would be
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APPENDIX I: THE MODELS 237 have to
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APPENDIX I: THE MODELS 239 can be u
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APPENDIX I: THE MODELS 241 The four
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APPENDIX I: THE MODELS 243 orange f
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APPENDIX I: THE MODELS 245 we make
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APPENDIX I: THE MODELS 247 sponding
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APPENDIX II: A LANGUAGE OF SPACE 24
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Sil Sit Sin Sil Sit Sin Silan Sitan
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TRANSCRIBER’S NOTE. Do what thou
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