Moving coordinate system and Euler Savary formula on Galilean plane

In this thesis, the fundemantal information of the Galilean geometry was defined by Yaglom, [6] was explained. Then one parameter planar Galilean motions, [7] were studied. Later, one Galilean plane moving relative to two other Galilean planes, one moving and the other fixed, was taken into consideration and the relation between the absolute, relative and sliding velocities of this movement was obtained. Also a canonical relative system for one-parameter Galilean planar motion was defined. In addition, Euler-Savary formula, which gives the relationship between the curvature of trajectory curves, was evaluated with the help of this relative system.