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
Limiting point (geometry) Limiting point (geometry) In geometry, the limiting points of two disjoint circles "A" and "B" in the Euclidean plane are points "p" that may be defined by any of the following equivalent properties: The midpoint of the two limiting points is the point where the radical axis of "A" and "B" crosses the line through their centers. This intersection point has equal power distance to all the circles in the pencil containing "A" and "B". The limiting points themselves can be found at this distance on either side of the intersection point, on the line through the two circle centers.