Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical postulate
|
| gptkbp:allows |
gptkb:Euclidean_geometry
|
| gptkbp:alsoKnownAs |
parallel postulate
|
| gptkbp:alternativeTo |
Through a point not on a given line, there is exactly one line parallel to the given line.
|
| gptkbp:date |
circa 300 BCE
|
| gptkbp:debatedBy |
mathematicians for centuries
|
| gptkbp:describes |
parallel lines
|
| gptkbp:formedBy |
gptkb:Euclid
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclid's fifth postulate
|
| gptkbp:influenced |
development of non-Euclidean geometry
|
| gptkbp:originalStatement |
If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than two right angles.
|
| gptkbp:partOf |
gptkb:Euclid's_Elements
|
| gptkbp:rejectedIn |
gptkb:elliptic_geometry
gptkb:hyperbolic_geometry |
| gptkbp:statedIn |
gptkb:Book_I_of_Elements
|
| gptkbp:subject |
gptkb:geometry
|
| gptkbp:bfsParent |
gptkb:Playfair's_axiom
gptkb:Parallel_postulate gptkb:Playfair's_Axiom |
| gptkbp:bfsLayer |
6
|