Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical axiom
|
| gptkbp:alsoKnownAs |
gptkb:Euclid's_fifth_postulate
|
| gptkbp:category |
Axiom of Euclidean geometry
|
| gptkbp:debatedBy |
Mathematicians for centuries
|
| gptkbp:equivalentTo |
Through a point not on a given line, there is exactly one line parallel to the given line.
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:formedBy |
gptkb:Euclid
gptkb:Elements circa 300 BCE |
| https://www.w3.org/2000/01/rdf-schema#label |
Parallel postulate
|
| gptkbp:influenced |
gptkb:Development_of_non-Euclidean_geometry
|
| gptkbp:relatedTo |
gptkb:Playfair's_axiom
gptkb:Riemannian_geometry gptkb:Lobachevsky's_parallel_postulate |
| gptkbp:replacedBy |
gptkb:Elliptic_geometry
gptkb:Hyperbolic_geometry |
| gptkbp:significance |
Distinguishes Euclidean geometry from non-Euclidean geometry
|
| gptkbp:state |
If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.
|
| gptkbp:bfsParent |
gptkb:Euclid's_postulates
|
| gptkbp:bfsLayer |
5
|