ARGUMENT OF DRAMA.
xxi
PAGE
Extension of limit of 'angle' to sum of four right angles
....................................................................................................................................................................................................................................................
|
99 |
'Straight' angles
....................................................................................................................................................................................................................................................
|
101 |
Meaning of 'direction'
....................................................................................................................................................................................................................................................
|
103 |
'Opposite' directions
....................................................................................................................................................................................................................................................
|
105 |
'Same' and 'different' directions
....................................................................................................................................................................................................................................................
|
106 |
Axiom 'different Lines may have the same direction,' discussed
....................................................................................................................................................................................................................................................
|
108 |
Property 'same direction,' when asserted of different Lines, can neither be defined, nor constructed, nor tested
....................................................................................................................................................................................................................................................
|
109 |
'Separational directions' not identical with 'identical directions'
....................................................................................................................................................................................................................................................
|
110 |
Virtual assumption of 'separational Lines are real' (which Euclid proves in I. 27), as Axiom
....................................................................................................................................................................................................................................................
|
113 |
Axiom 'different Lines may have different directions' discussed
....................................................................................................................................................................................................................................................
|
114 |
Axiom 'different Lines may have the same direction,' rejected, and Axiom 'different Lines may have different directions' granted with limitations
....................................................................................................................................................................................................................................................
|
115 |
Axiom 'different Lines which meet one another have different directions' granted
....................................................................................................................................................................................................................................................
|
115„ |
Axiom 'Lines with different directions would meet' discussed
....................................................................................................................................................................................................................................................
|
115„ |
and rejected
....................................................................................................................................................................................................................................................
|
116 |
Diagram of 'same' and 'different' directions condemned
....................................................................................................................................................................................................................................................
|
117 |
'Different but with same direction' accepted as (ideal) definition of Pair of Lines
....................................................................................................................................................................................................................................................
|
118 |
'Parallel,' as used by Wilson, to be replaced by term 'sepcodal'
....................................................................................................................................................................................................................................................
|
118„ |
Definition discussed
....................................................................................................................................................................................................................................................
|
119 |
Theorem 'sepcodal Lines do not meet' accepted
....................................................................................................................................................................................................................................................
|
121 |