Page:Carroll - Euclid and His Modern Rivals.djvu/24

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xx
ARGUMENT OF DRAMA.

PAGE

Scene V.


Treatment of Parallels by revolving lines.


Henrici.

Treatment of Line
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71
Treatment of Angle
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74
Treatment of Parallels
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76
Attempted proof of Playfair's Axiom discussed
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76
Attempted proof of Playfair's Axiom rejected
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83
General survey of book:—
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83
 
Enormous amount of new matter
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84
 
Two 'non-sequiturs'
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85
 
An absurdity proved à la Henrici
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86
 
Motion 'per saltum' denied
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87
 
A strange hypothesis
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89
 
A new kind of 'open question'
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90
 
Another 'non-sequitur'
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90
 
An awkward corner
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91
 
Theorems on Symmetry
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91
 
Summary of faults
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92
 
Euclid I, 18, 19, contrasted with Henrici
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94
 
A final tit-bit
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96
Manual rejected
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96

Scene VI.


Treatment of Parallels by direction.


§ 1. Wilson.

Introductory
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97
Treatment of Line
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98
Treatment of Angle
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99