2-dimensional Euclidean space
GPTKB entity
Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Euclidean_space
|
| gptkbp:basisFor |
standard basis (i, j)
|
| gptkbp:connectedTo |
gptkb:complex_plane
affine plane vector space over R |
| gptkbp:coordinates |
gptkb:polar_coordinates
Cartesian coordinates |
| gptkbp:describedBy |
axioms of Euclidean geometry
|
| gptkbp:dimensions |
2
|
| gptkbp:hasAngleMeasure |
degrees
radians |
| gptkbp:hasArea |
area = base × height for rectangles
area = πr^2 for circles |
| gptkbp:hasDistanceFormula |
sqrt((x2-x1)^2 + (y2-y1)^2)
|
| gptkbp:hasInnerProduct |
dot product
|
| gptkbp:hasSubgroup |
gptkb:n-dimensional_Euclidean_space
lines points polygons curves |
| https://www.w3.org/2000/01/rdf-schema#label |
2-dimensional Euclidean space
|
| gptkbp:includesMetric |
Euclidean metric
|
| gptkbp:isomorphicTo |
R^2
|
| gptkbp:originatedIn |
(0, 0)
|
| gptkbp:represents |
ordered pairs (x, y)
|
| gptkbp:symmetry |
Euclidean group E(2)
|
| gptkbp:usedFor |
gptkb:algebraic_geometry
gptkb:navigation gptkb:topology gptkb:data_visualization complex analysis computer graphics differential geometry physics simulations robotics statistics optimization vector calculus linear algebra analytic geometry map projections trigonometry artificial intelligence (spatial reasoning) machine learning (feature spaces) |
| gptkbp:usedIn |
gptkb:geometry
engineering physics |
| gptkbp:visualizes |
gptkb:aircraft
|
| gptkbp:bfsParent |
gptkb:4-dimensional_Euclidean_space
|
| gptkbp:bfsLayer |
7
|