Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:alsoKnownAs |
rigid motions
|
| gptkbp:compositionClosed |
true
|
| gptkbp:dimensions |
any positive integer
|
| gptkbp:excludes |
projections
shears scalings |
| gptkbp:form |
gptkb:group_of_people
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euclidean transformations
|
| gptkbp:identityElement |
identity transformation
|
| gptkbp:include |
reflections
translations glide reflections rotations |
| gptkbp:inverseIs |
Euclidean transformation
|
| gptkbp:invertible |
true
|
| gptkbp:mathematicallyRepresentedBy |
orthogonal matrices
affine transformations with orthogonal linear part |
| gptkbp:namedAfter |
gptkb:Euclid
|
| gptkbp:preservedIn |
angles
parallelism distances betweenness collinearity |
| gptkbp:relatedGroup |
gptkb:Euclidean_group
|
| gptkbp:usedIn |
gptkb:geometry
computer graphics physics robotics |
| gptkbp:bfsParent |
gptkb:Laplace_operator
|
| gptkbp:bfsLayer |
6
|