Generalized Homothetic Formula of Two-Parameter Motions

Two-parameter motions and kinematics applications are studied and all one parameter motions obtained from two-parameters motion on the Euclidean plane, are investigated. Two-parameter motions in there dimensional spaces are defined and . In this study, sliding velocity, pole lines, hodograph and acceleration poles of two-parameter homothetic motions at 8(λ, µ) positions are obtained. By defining two-parameter homothetic motion along a curve in Euclidean space E³, the theorems related to this motion and characterizations of the trajectory surface are given.