Assertion: isometry | /r/CapableOf | preserve distance
Facets:
value: between points
type: LOCATION
Source sentences:
text: An isometry is a function (or a transformation) such that preserves distance.
text: "Observe that an isometry is just a homeomorphism that preserves distance. ...
text: "Observe that an isometry is just a homeomorphism that preserves distance. ...
text: An isometry is a linear transformation that preserves distance and length.
text: I learned, not too in depth, that an isometry is a map which preserves distance.
text: In general, an isometry is a transformation that preserves distance.
text: Thus an isometry of 3-space (which we have not studied this quarter) is a transformation of 3-space that preserves distance.
text: It is an isometry because you can prove it preserves distance.
text: An isometry is a map that preserves distances.
text: In a chapter on "Employing isometry", ( isometries in the plane being linear transformations that preserve distances, such as reflection, rotation and translations (
text: (Hint: recall that an isometry must preserve distances.)
text: I get that an isometry preserves distances, but I'm a bit confused about how to determine if something is an isometry using the metric only.
text: An isometry is a map which preserves distances between points.
text: Isometries are things that preserve distances as things move about.