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

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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