A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their pre-images
equality of measure (e g , equality of height above sea level or equality of loudness etc )
equality of elevation above sea level a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of the cube"
a one-to-one mapping of one metric space into another metric space that preserves the distances between each pair of points; "the isometries of the cube"
A transformation that maps every segment to a congruent segment Also called a congruence mapping
In the plane, as elsewhere, a function which preserves distances and maps the plane onto itself There are four types of isometries in the plane Isometries are also known as symmetries