Page:Carroll - Euclid and His Modern Rivals.djvu/27
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ARGUMENT OF DRAMA.
xxiii
PAGE
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A fifth case of 'Petitio Principii'
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140 |
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A sixth
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141 |
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Summing-up, and rejection of Manual
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141„ |
§ 2. Pierce.
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Treatment of Line
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144 |
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Introduction of Infinitesimals
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145 |
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Treatment of Parallels
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145„ |
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Angle viewed as 'difierence of direction'
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146 |
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Assumption of Axiom 'different Lines may have the same direction'
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147 |
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List of Euclid's Theorems which are omitted
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148 |
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Manual not adapted for beginners
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148„ |
§ 3. Willock.
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Treatment of Parallels
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150 |
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Virtual assumption of Axiom 'different Lines may have the same direction'
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150„ |
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Assumption of Axiom 'separational Lines have the same direction'
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152 |
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General survey of book:—
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153 |
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Difficulties introduced too soon
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153„ |
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Omission of 'coincidental' Lines
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155 |
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'Principle of double conversion' discussed, and condemned as illogical
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155„ |
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Mysterious passage about 'incommensurables'
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157 |
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Manual rejected
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157„ |