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
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.