ON THE SYNTHETIC CONSTRUCTIONS OF SPECIFIC PLANAR CURVES OF KINEMATIC GEOMETRY

Abstract

The paper addresses the synthetic constructions of selected planar curves determined as trajectories of moving points or as envelopes of moving curves in the plane. We will show the synthetic constructions of centers of curvature and osculating circles of those curves.

For better understanding, we will newly support these synthetic constructions by dynamic applets created in GeoGebra software.

Keywords

• trajectories
• envelopes
• kinematic geometry
• GeoGebra
• descriptive geometry
• synthetic constructions
• pure geometry
• centers of curvature
• osculating circles