Page:Carroll - Euclid and His Modern Rivals.djvu/28

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xxiv
ARGUMENT OF DRAMA.

PAGE

ACT III.


Manuals which adopt Euclid's treatment of Parallels.


Scene I.

§ 1.

Introductory
....................................................................................................................................................................................................................................................
158

§ 2. Chauvenet.

General survey
....................................................................................................................................................................................................................................................
160

§ 3. Loomis.

General survey
....................................................................................................................................................................................................................................................
162

§ 4. Morell.

Treatment of Line
....................................................................................................................................................................................................................................................
163
Treatment of Angle
....................................................................................................................................................................................................................................................
165
Treatment of Parallels
....................................................................................................................................................................................................................................................
165
General survey:—
 
'Direct,' 'reciprocal,' and 'contrary' Theorems
....................................................................................................................................................................................................................................................
167
 
Sentient points
....................................................................................................................................................................................................................................................
165
 
A false assertion
....................................................................................................................................................................................................................................................
169
 
A speaking radius
....................................................................................................................................................................................................................................................
170
 
Ratios and common measures
....................................................................................................................................................................................................................................................
165