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

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ARGUMENT OF DRAMA.

PAGE

Scene V.

Treatment of Parallels by revolving lines.

Henrici.

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

Scene VI.

Treatment of Parallels by direction.

§ 1. Wilson.

Introductory
....................................................................................................................................................................................................................................................
 97
Treatment of Line
....................................................................................................................................................................................................................................................
 98
Treatment of„ Angle
....................................................................................................................................................................................................................................................
 99
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