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1 Nature, Number and Substance |
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1 | (8) |
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1 | (1) |
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1.2 Reading: Aristotle, On the Heavens |
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2 | (5) |
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2 | (1) |
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3 | (2) |
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5 | (2) |
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7 | (1) |
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8 | (1) |
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8 | (1) |
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2 The Shape and Motion of the Heavens |
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9 | (8) |
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9 | (1) |
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2.2 Reading: Aristotle, On the Heavens |
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10 | (4) |
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10 | (2) |
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12 | (1) |
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13 | (1) |
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14 | (1) |
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15 | (1) |
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15 | (2) |
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17 | (10) |
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17 | (1) |
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3.2 Reading: Aristotle, On the Heavens |
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17 | (7) |
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17 | (1) |
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18 | (2) |
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20 | (1) |
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21 | (1) |
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21 | (1) |
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22 | (2) |
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24 | (1) |
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25 | (1) |
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25 | (2) |
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4 Earth at the Center of the World |
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27 | (14) |
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27 | (3) |
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4.2 Reading: Aristotle, On the Heavens |
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30 | (7) |
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30 | (5) |
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35 | (2) |
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37 | (1) |
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38 | (1) |
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39 | (2) |
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41 | (20) |
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41 | (1) |
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5.2 Reading: Ptolemy, The Almagest |
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42 | (11) |
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42 | (2) |
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5.2.2 Chapter 2: On the Order of the Theorems |
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44 | (1) |
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5.2.3 Chapter 3: That the Heaven Moves as a Sphere |
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44 | (2) |
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5.2.4 Chapter 4: The Earth Too is Generally Spherical to Perception |
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46 | (1) |
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5.2.5 Chapter 5: The Earth Is in the Middle of the Heaven |
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47 | (2) |
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5.2.6 Chapter 6: The Earth Has the Ratio of a Point to the Heavenly Things |
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49 | (1) |
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5.2.7 Chapter 7: The Earth Does not Make any Motion from One Place to Another |
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49 | (2) |
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5.2.8 Chapter 8: There Are Two Different Primary Motions in the Heaven |
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51 | (2) |
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5.2.9 Chapter 9: On the Individual Concepts |
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53 | (1) |
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53 | (2) |
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55 | (5) |
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60 | (1) |
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6 Measuring the Tropical Year |
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61 | (12) |
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61 | (1) |
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6.2 Reading: Ptolemy, The Almagest |
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62 | (7) |
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62 | (1) |
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6.2.2 Chapter 1: On the Size of the Time of a Year |
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62 | (7) |
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69 | (1) |
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70 | (2) |
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72 | (1) |
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73 | (12) |
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73 | (2) |
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7.2 Reading: Ptolemy, The Almagest |
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75 | (5) |
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7.2.1 Book I, Chapter 12: On the Arc Between the Solstices |
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75 | (2) |
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7.2.2 Book V, Chapter 1: On the Construction of an Astrolabe Instrument |
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77 | (3) |
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80 | (1) |
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81 | (2) |
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83 | (2) |
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8 The Sun, the Moon and the Calendar |
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85 | (16) |
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85 | (1) |
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8.2 Reading: Bede, The Reckoning of Time |
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86 | (12) |
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8.2.1 Chapter 16: The Signs of the Twelve Months |
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86 | (3) |
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8.2.2 Chapter 17: The Course of the Moon Through the Signs |
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89 | (1) |
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8.2.3 Chapter 25: When and Why the Moon Appears to be Facing Upwards, Facing Downwards, or Standing Upright |
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90 | (3) |
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8.2.4 Chapter 29: The Harmony of the Moon and the Sea |
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93 | (3) |
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8.2.5 Chapter 30: Equinoxes and Solstices |
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96 | (2) |
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98 | (1) |
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99 | (1) |
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100 | (1) |
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9 From Astronomy to Cartography |
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101 | (16) |
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101 | (1) |
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9.2 Reading: Waldseemuller, Introduction to Cosmography |
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102 | (10) |
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9.2.1 Preface: To His Majesty Maximillian Caesar Augustus Martinus Ilacomilus Wishes Good Fortune |
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102 | (1) |
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103 | (1) |
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9.2.3 Chapter I: Of the Principles of Geometry Necessary to an Understanding of the Sphere |
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104 | (1) |
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9.2.4 Chapter II: Sphere, Axis, Poles, etc., Accurately Defined |
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104 | (2) |
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9.2.5 Chapter III: Of the Circles of the Heavens |
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106 | (2) |
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9.2.6 Chapter IV: Of a Certain Theory of the Sphere According to the System of Degrees |
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108 | (1) |
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9.2.7 Chapter V: Of the Five Celestial Zones and the Application of These and of the Degrees of the Heavens to the Earth |
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109 | (3) |
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9.2.8 Chapter VI: Of Parallels |
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112 | (1) |
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112 | (2) |
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114 | (2) |
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116 | (1) |
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10 Climates and Continents |
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117 | (12) |
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117 | (1) |
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10.2 Reading: Waldseemuller, Introduction to Cosmography |
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117 | (10) |
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10.2.1 Chapter VII: Of Climates |
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117 | (2) |
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10.2.2 Chapter VIII: Of the Winds |
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119 | (3) |
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10.2.3 Chapter IX: Of Certain Elements of Cosmography |
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122 | (4) |
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126 | (1) |
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127 | (1) |
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127 | (1) |
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128 | (1) |
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11 Heliocentrism: Hypothesis or Truth? |
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129 | (14) |
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129 | (1) |
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11.2 Reading: Copernicus, On the Revolutions of the Heavenly Spheres |
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130 | (10) |
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11.2.1 Introduction: To the Reader Concerning the Hypotheses of this Work |
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130 | (1) |
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11.2.2 Preface and Dedication: To Pope Paul III |
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131 | (4) |
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11.2.3 Book I: Introduction |
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135 | (2) |
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11.2.4 Chapter 1: The World is Spherical |
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137 | (1) |
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11.2.5 Chapter 2: The Earth is Spherical too |
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137 | (1) |
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11.2.6 Chapter 3: How Land and Water Make up a Single Globe |
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138 | (1) |
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11.2.7 Chapter 4: The Movement of the Celestial Bodies is Regular, Circular, and Everlasting---or Else Compounded of Circular Movements |
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139 | (1) |
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140 | (1) |
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141 | (1) |
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142 | (1) |
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12 Earth as a Wandering Star |
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143 | (10) |
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143 | (1) |
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12.2 Reading: Copernicus, On the Revolutions of the Heavenly Spheres |
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143 | (8) |
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12.2.1 Chapter 5: Does the Earth Have a Circular Movement? And of its Place |
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144 | (1) |
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12.2.2 Chapter 6: On the Immensity of the Heavens in Relation to the Magnitude of the Earth |
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145 | (2) |
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12.2.3 Chapter 7: Why the Ancients Thought the Earth Was at Rest at the Middle of the World as Its Centre |
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147 | (1) |
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12.2.4 Chapter 8: Answer to the Aforesaid Reasons and Their Inadequacy |
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148 | (2) |
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12.2.5 Chapter 9: Whether Many Movements Can be Attributed to the Earth, and Concerning the Centre of the World |
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150 | (1) |
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151 | (1) |
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152 | (1) |
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152 | (1) |
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13 Re-ordering the Heavenly Spheres |
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153 | (20) |
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153 | (1) |
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13.2 Reading: Copernicus, On the Revolutions of the Heavenly Spheres |
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154 | (14) |
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13.2.1 Chapter 10: On the Order of the Celestial Orbital Circles |
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154 | (11) |
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13.2.2 Chapter 11: A Demonstration of the Threefold Movement of the Earth |
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165 | (3) |
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168 | (1) |
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169 | (3) |
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172 | (1) |
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173 | (12) |
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173 | (1) |
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14.2 Reading: Kepler, Epitome of Copernican Astronomy |
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174 | (9) |
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174 | (6) |
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14.2.2 First Book on the Doctrine of the Schemata: On the Position, Order, and Movement of the Parts of the World; or, on the System of the World |
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180 | (3) |
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183 | (1) |
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183 | (1) |
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184 | (1) |
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185 | (16) |
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185 | (1) |
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15.2 Reading: Kepler, Epitome of Copernican Astronomy |
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186 | (11) |
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15.2.1 Chapter 1: On the Principal Parts of the World |
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186 | (4) |
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15.2.2 Chapter 2: On the Place of the Sun at the Centre of the World |
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190 | (3) |
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15.2.3 Chapter 3: On the Order of the Movable Spheres |
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193 | (4) |
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197 | (1) |
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198 | (2) |
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200 | (1) |
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201 | (14) |
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201 | (1) |
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16.2 Reading: Kepler, Epitome of Copernican Astronomy |
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201 | (10) |
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16.2.1 Chapter 1: How Many and of What Sort are the Movements? |
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202 | (1) |
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16.2.2 Chapter 2: Concerning the Causes of the Movement of the Planets |
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203 | (8) |
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16.2.3 Chapter 3: On the Revolution of the Solar Body Around its Axis and its Effect in the Movement of the Planets |
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211 | (1) |
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211 | (1) |
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212 | (1) |
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213 | (2) |
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17 Kepler's First and Second Laws |
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215 | (12) |
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215 | (1) |
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17.2 Reading: Kepler, Epitome of Copernican Astronomy |
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216 | (7) |
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216 | (1) |
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17.2.2 Chapter 1: The Causes of the True Irregularities |
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217 | (4) |
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17.2.3 Chapter 2: On the Causes of Irregularity in Longitude |
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221 | (2) |
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223 | (1) |
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223 | (2) |
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225 | (2) |
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227 | (22) |
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227 | (1) |
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18.2 Reading: Galileo, The Sidereal Messenger |
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228 | (15) |
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18.2.1 To the Most Serene Cosimo II de' Medici, Fourth Grand Duke of Tuscany |
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228 | (2) |
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18.2.2 Astronomical Message Containing and Explaining Observations Lately Made with the Aid of a New Spyglass Regarding the Moon's Surface, the Milky Way, Nebulous Stars, an Innumerable Multitude of Fixed Stars, and Also Regarding Four Planets Never Before Seen, Which Have Been Named Medicean Stars |
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230 | (13) |
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243 | (1) |
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243 | (4) |
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247 | (2) |
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249 | (10) |
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249 | (1) |
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19.2 Reading: Galileo, The Sidereal Messenger |
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249 | (7) |
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19.2.1 The Sidereal Messenger (continued) |
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249 | (7) |
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256 | (1) |
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257 | (1) |
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258 | (1) |
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20 The Luminosity of Variable Stars |
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259 | (6) |
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259 | (1) |
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20.2 Reading: Leavitt, Periods of 25 variable stars in the small magellanic cloud |
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260 | (3) |
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20.2.1 Periods of 25 Variable Stars in the Small Magellanic Cloud |
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260 | (3) |
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263 | (1) |
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264 | (1) |
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264 | (1) |
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265 | (8) |
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265 | (1) |
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21.2 Reading: Slipher, Nebulae |
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265 | (5) |
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265 | (5) |
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270 | (1) |
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271 | (1) |
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272 | (1) |
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22 Measuring Astronomical Distances |
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273 | (12) |
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273 | (1) |
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22.2 Reading: Shapley, Galaxies |
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273 | (8) |
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22.2.1 The Astronomical Toolhouse |
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273 | (1) |
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22.2.2 The Abundance of Cepheid Variables |
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274 | (2) |
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22.2.3 The Period-Luminosity Relation and the Light Curves of Cepheids |
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276 | (5) |
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281 | (1) |
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282 | (1) |
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283 | (2) |
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23 A New Theory of Gravity |
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285 | (16) |
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285 | (1) |
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23.2 Reading: Einstein, Relativity |
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286 | (11) |
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23.2.1 XVIII: Special and General Principle of Relativity |
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286 | (2) |
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23.2.2 XIX: The Gravitational Field |
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288 | (2) |
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23.2.3 XX: The Equality of Inertial and Gravitational Mass as an Argument for the General Postulate of Relativity |
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290 | (2) |
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23.2.4 XXI: In what Respects are the Foundations of Classical Mechanics and of the Special Theory of Relativity Unsatisfactory? |
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292 | (1) |
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23.2.5 XXII: A Few Inferences from the General Principle of Relativity |
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293 | (2) |
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23.2.6 XXIII: Behaviour of Clocks and Measuring-Rods on a Rotating Body of Reference |
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295 | (2) |
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297 | (1) |
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298 | (1) |
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299 | (2) |
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24 Euclid, Gauss and Mercury's Orbit |
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301 | (14) |
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301 | (1) |
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24.2 Reading: Einstein, Relativity |
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302 | (10) |
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24.2.1 XXIV: Euclidean and non-Euclidean Continuum |
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302 | (1) |
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24.2.2 XXV: Gaussian Co-ordinates |
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303 | (3) |
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24.2.3 XXVI: The Space-time Continuum of the Special Theory of Relativity Considered as a Euclidean Continuum |
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306 | (1) |
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24.2.4 XXVII: The Space-time Continuum of the General Theory of Relativity is not a Euclidean Continuum |
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307 | (1) |
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24.2.5 XXVIII: Exact Formulation of the General Principle of Relativity |
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308 | (1) |
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24.2.6 XXIX: The Solution of the Problem of Gravitation on the Basis of the General Principle of Relativity |
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309 | (3) |
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312 | (1) |
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313 | (1) |
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313 | (2) |
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25 A Finite Universe with No Boundary |
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315 | (6) |
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315 | (1) |
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25.2 Reading: Einstein, Relativity |
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315 | (5) |
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25.2.1 XXX: Cosmological Difficulties of Newton's Theory |
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315 | (1) |
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25.2.2 XXXI: The Possibility of a "finite" and yet "unbounded" Universe |
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316 | (3) |
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25.2.3 XXXII: The Structure of Space According to the General Theory of Relativity |
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319 | (1) |
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320 | (1) |
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320 | (1) |
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26 The Structure of the Universe |
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321 | (14) |
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321 | (1) |
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26.2 Reading: Hubble, The Realm of the Nebulae |
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321 | (12) |
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26.2.1 The Exploration of Space |
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322 | (2) |
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26.2.2 Characteristics of the Observable Region |
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324 | (1) |
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26.2.3 Distances of Nebulae |
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324 | (1) |
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26.2.4 Distribution of Nebulae |
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325 | (1) |
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26.2.5 Velocity--Distance Relation |
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326 | (5) |
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26.2.6 The Observable Region as a Sample of the Universe |
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331 | (2) |
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333 | (1) |
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333 | (1) |
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334 | (1) |
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27 Measuring the Potentially Infinite |
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335 | (20) |
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335 | (1) |
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27.2 Reading: Lemaitre, The Primeval Atom |
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336 | (15) |
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336 | (1) |
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27.2.2 Is the World Infinite? |
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337 | (2) |
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27.2.3 The Distance of the Stars |
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339 | (2) |
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27.2.4 The Border of Naught |
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341 | (1) |
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27.2.5 Space Which is Finite and Without Boundary |
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342 | (2) |
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27.2.6 Properties of Finite, Homogeneous Space, Without Boundary |
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344 | (1) |
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27.2.7 An Euclidean Map of Elliptical Space |
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344 | (3) |
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27.2.8 The Possibility of an Experimental Check on the Ellipticity of Real Space |
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347 | (1) |
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27.2.9 Space and Matter: Einstein's Relation |
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348 | (1) |
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27.2.10 The World of Nebulae |
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348 | (2) |
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27.2.11 Does the Size of Space Vary? |
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350 | (1) |
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351 | (2) |
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353 | (1) |
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353 | (2) |
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28 The Birth of the Big Bang |
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355 | (16) |
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355 | (1) |
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28.2 Reading: Lemaitre, The Primeval Atom |
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355 | (12) |
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355 | (2) |
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28.2.2 Buffon's Cosmogony |
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357 | (1) |
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358 | (2) |
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28.2.4 Laplace's Cosmogony |
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360 | (1) |
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361 | (3) |
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28.2.6 The Three Periods of Expansion |
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364 | (1) |
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28.2.7 Experimental Verifications |
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364 | (2) |
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366 | (1) |
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367 | (2) |
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369 | (1) |
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369 | (2) |
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371 | (18) |
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371 | (1) |
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29.2 Reading: Lemaitre, The Primeval Atom |
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371 | (14) |
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371 | (1) |
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372 | (1) |
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373 | (1) |
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29.2.4 Space of Variable Radius |
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374 | (1) |
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374 | (1) |
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29.2.6 The Formation of Clouds |
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375 | (1) |
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376 | (2) |
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29.2.8 The Universe of Friedmann |
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378 | (1) |
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29.2.9 Einstein's Equilibrium |
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379 | (1) |
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29.2.10 The Significance of Clusters of Nebulae |
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380 | (1) |
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29.2.11 The Findings of De Sitter |
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380 | (1) |
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29.2.12 The Proper Motion of Nebulae |
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381 | (1) |
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29.2.13 The Formation of Stars |
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382 | (1) |
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29.2.14 The Distribution of Densities in Nebulae |
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382 | (1) |
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29.2.15 Distribution of Supergiant Stars |
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383 | (1) |
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29.2.16 The Uniform Abundance of the Elements |
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384 | (1) |
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384 | (1) |
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384 | (1) |
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385 | (2) |
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387 | (1) |
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387 | (2) |
Bibliography |
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389 | (2) |
Index |
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391 | |