2D computer graphics endowed with a self-rendering method—a procedure which assigns colors to the image pixels by an arbitrary algorithm. Complex models can be built by combining simpler objects, in the paradigms of object-oriented programming. In Euclidean geometry, a translation moves every point a constant distance in a specified direction. A translation can be described as a rigid motion: other rigid motions include rotations and 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 operator formula_1 such that formula_2 If v
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.