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

This page has been proofread, but needs to be validated.
xx
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