Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
gptkb:mathematical_statement |
| gptkbp:alternativeTo |
gptkb:Euclid's_fifth_postulate
|
| gptkbp:category |
parallel postulate
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:formedBy |
gptkb:John_Playfair
1795 |
| gptkbp:influenced |
development of non-Euclidean geometry
|
| gptkbp:language |
English
|
| gptkbp:namedAfter |
gptkb:John_Playfair
|
| gptkbp:replacedBy |
gptkb:Euclid's_parallel_postulate
|
| gptkbp:sentence |
Given a line and a point not on it, there is exactly one line through the point parallel to the given line.
|
| gptkbp:usedIn |
gptkb:Euclidean_geometry
|
| gptkbp:bfsParent |
gptkb:Parallel_Lines
|
| gptkbp:bfsLayer |
5
|
| https://www.w3.org/2000/01/rdf-schema#label |
Playfair's Axiom
|