Page:Carroll - Euclid and His Modern Rivals.djvu/23

This page has been proofread, but needs to be validated.
ARGUMENT OF DRAMA.
xix

PAGE

Scene III.

Treatment of Parallels by angles made with transversals.

Cooley.

Style of Preface
....................................................................................................................................................................................................................................................
 60
Treatment of Parallels
....................................................................................................................................................................................................................................................
 62
Utter collapse of Manual
....................................................................................................................................................................................................................................................
 63

Scene IV.

Treatment of Parallels by equidistances.

Cuthbertson.

Treatment of Line
....................................................................................................................................................................................................................................................
 64
Attempted proof of Euclid's (tacitly assumed) Axiom, that two Lines cannot have a common segment
....................................................................................................................................................................................................................................................
 65
Treatment of Angle
....................................................................................................................................................................................................................................................
 66
Treatment of„ Parallels
....................................................................................................................................................................................................................................................
 66„
Assumption of R. Simpson's Axiom
....................................................................................................................................................................................................................................................
 67
Euclid's 12th Axiom replaced by a Definition, two Axioms, and five Theorems
....................................................................................................................................................................................................................................................
 68
Test for meeting of two finite Lines
....................................................................................................................................................................................................................................................
 69
Manual a modified Euclid
....................................................................................................................................................................................................................................................
 70

b 2

This article is issued from Wikisource. The text is available under Creative Commons Attribution-Share Alike 4.0 unless otherwise noted. Additional terms may apply for the media files.