Translation (geometry) Translation (geometry) In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. In Euclidean geometry a transformation is a one-to-one correspondence between two sets of points or a mapping from one plane to another. A translation can be described as a rigid motion: the other rigid motions are rotations, reflections and glide reflections. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. A translation operator is an
Glossary of Riemannian and metric geometry each simplex with induced metric is isometric to a simplex in Euclidean space. Principal curvature is the maximum and minimum normal curvatures at a point on a surface. Principal direction is the direction of the principal curvatures. Path isometry Proper metric space is a metric space in which every closed ball is compact. Every proper metric space is complete. Quasigeodesic has two meanings; here we give the most common. A map formula_29 (where formula_30 is a subsegment) is called a "quasigeodesic" if there are constants formula_31 and formula_32 such that for every formula_33 Note that a quasigeodesic is not necessarily