Category:Parallel Lines
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This category contains results about Parallel Lines.
Definitions specific to this category can be found in Definitions/Parallel Lines.
In the words of Euclid:
- Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in either direction, do not meet one another in either direction.
(The Elements: Book $\text{I}$: Definition $23$)
The contemporary interpretation of the concept of parallelism declares that a straight line is parallel to itself.
Subcategories
This category has the following 3 subcategories, out of 3 total.
D
- Distance between Parallel Lines (empty)
P
Pages in category "Parallel Lines"
The following 27 pages are in this category, out of 27 total.
E
L
P
- Parallel Chords Cut Equal Chords in a Circle
- Parallel Lines remain Parallel under Affine Transformation
- Parallel Lines which intercept Equal Segments on Transversals
- Parallelism implies Equal Alternate Angles
- Parallelism implies Equal Alternate Angles, Corresponding Angles, and Supplementary Interior Angles
- Parallelism implies Equal Corresponding Angles
- Parallelism implies Supplementary Interior Angles
- Parallelism is Equivalence Relation
- Parallelism is Equivalence Relation/Transitivity
- Parallelism is Reflexive Relation
- Parallelism is Symmetric Relation
- Parallelism is Transitive Relation
- Point at Infinity of Intersection of Parallel Lines