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
Distance geometry problem length of the straight-line path from "A" to "C" plus the length of the straight-line path from "C" to "B". This fact is called the triangle inequality. If that sum happens to be "equal" to the distance from "A" to "B", then the three points "A", "B", and "C" lie on a straight line, with "C" between "A" and "B". Similarly, suppose one knows Knowing only these six numbers, one would like to figure out Distance geometry includes the solution of such problems. Of particular utility and importance are classifications by means of Cayley–Menger determinants, named after Arthur Cayley and