Abstract

Müller (1978), in the Euclidean plane  introduced the one parameter planar motions and obtained the relation between absolute, relative, sliding velocities (and accelerations). During one parameter planar motion in the Euclidean plane , the Euler-Savary formula was expressed by Müller (Blaschke and Müller, 1956). Blaschke and Müller (1956) and Tutar et al. (2001) provided the relation between the velocities (and accelerations) in the sense of the complex under the one parameter motions in the complex plane . In this paper we have defined canonical relative system of one parameter motions in the complex plane, C. With the aid of this relative system we have obtained the Euler-Savary formula giving the relation between the curvatures of the trajectory curves of one parameter motions in the complex plane c.

Key words: Euler savary formula, one parameter motion, complex plane.