- Translation (physics)
In

physics ,**translation**is movement that changes the position of an object, as opposed torotation . For example, according to Whittaker:cite book |title=A Treatise on the Analytical Dynamics of Particles and Rigid Bodies |author=Edmund Taylor Whittaker |isbn=0521358833 |publisher=Cambridge University Press |year=1988 |url=http://books.google.com/books?id=epH1hCB7N2MC&pg=PA4&dq=rigid+bodies+translation&lr=&as_brr=0&sig=ACfU3U35vNtLy6utF2QKzYa82mGSyp_jYw#PPA1,M1 |edition=Reprint of fourth edition of 1936 with foreword by William McCrea |page=p. 1]A translation is the operation changing the positions of all points "(x, y, z)" of an object according to the formula

:$(x,y,z)\; o\; (x+Delta\; x,y+Delta\; y,\; z+Delta\; z)$

where $(\; Delta\; x,\; Delta\; y,\; Delta\; z)$ is the same

vector for each point of the object. The translation vector $(\; Delta\; x,\; Delta\; y,\; Delta\; z)$ 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.A translation of space (or time) should not be confused with a translation of an object. Such translations have no fixed points.

**References and notes****ee also***

Translation (geometry)

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