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 from a point to a line to the point P. Hence: We can solve this equation for "x", The y coordinate of the point of intersection can be found by substituting this value of "x" into the equation of the original line, Using the equation for finding the distance between 2 points, formula_35, we can deduce that the formula to find the shortest distance between a line and a point is the following: Recalling that "m" = -"a"/"b" and "k" = - "c"/"b" for the line with equation "ax" + "by" + c = 0, a little algebraic simplification reduces this to the standard expression. The