Euclidean parallel postulate
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
geometric axiom
|
| gptkbp:alsoKnownAs |
fifth postulate
|
| gptkbp:category |
gptkb:Titan
postulate |
| gptkbp:contrastsWith |
gptkb:elliptic_geometry
gptkb:hyperbolic_geometry |
| gptkbp:dateCreated |
circa 300 BCE
|
| gptkbp:describes |
parallel lines
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics |
| gptkbp:formedBy |
gptkb:Euclid
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean parallel postulate
|
| gptkbp:implies |
uniqueness of parallel line through a point
|
| gptkbp:influenced |
development of non-Euclidean geometry
|
| gptkbp:numberInElements |
fifth postulate
|
| gptkbp:partOf |
gptkb:Euclid's_Elements
|
| gptkbp:relatedTo |
gptkb:Playfair's_axiom
parallel postulate |
| gptkbp:sentence |
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.
|
| gptkbp:statedIn |
gptkb:Book_I_of_Elements
|
| gptkbp:bfsParent |
gptkb:Euclid
|
| gptkbp:bfsLayer |
5
|