Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:canBe |
Infinite
Finite |
| gptkbp:dimensions |
2
|
| gptkbp:example |
Euclidean plane
Finite affine plane |
| gptkbp:field |
gptkb:Mathematics
gptkb:geometry |
| gptkbp:hasAxiom |
Any two distinct points determine a unique line
There exist at least three non-collinear points Given a line and a point not on it, there is exactly one line through the point parallel to the given line |
| gptkbp:hasProperty |
No points at infinity
Parallel lines do not intersect |
| https://www.w3.org/2000/01/rdf-schema#label |
Affine plane
|
| gptkbp:relatedTo |
gptkb:Projective_plane
gptkb:Affine_geometry |
| gptkbp:structure |
Lines
Points |
| gptkbp:usedIn |
gptkb:Algebraic_geometry
Combinatorics Incidence geometry |
| gptkbp:bfsParent |
gptkb:Affine_variety
|
| gptkbp:bfsLayer |
6
|