< Page:Carroll - Euclid and His Modern Rivals.djvu
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
This article is issued from Wikisource. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.