Translation (geometry) of the object. The translation vector formula_8 common to all points of the object describes a particular type of displacement of the object, usually called a "linear" displacement to distinguish it from displacements involving rotation, called "angular" displacements. When considering spacetime, a change of time coordinate is considered to be a translation. For example, the Galilean group and the Poincaré group include translations with respect to time. 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
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