Homothetic motions in Euclidean 3-space

Abstract

A one-parameter homothetic motion of a rigid body in three-dimensional Euclidean space is defined by means of the Hamilton operators. We investigate some properties of this motion and show that it has only one pole point at every instant Furthermore, the Darboux vector of the motion can be written as multiplication of two quaternions

Keywords

• Hamilton operator
• homothetic motion
• pole point