A Euclidean motion of 
is an affine transformation whose linear
part is an orthogonal transformation.
Euclidean Motion
See also
Rigid MotionExplore with Wolfram|Alpha
References
Gray, A. "Euclidean Motions." §6.1 in Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. Boca Raton, FL: CRC Press, pp. 128-134, 1997.Referenced on Wolfram|Alpha
Euclidean MotionCite this as:
Weisstein, Eric W. "Euclidean Motion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EuclideanMotion.html