Centre Symmetry Sets of Families of Plane Curves

Abstract

We study centre symmetry sets and equidistants for a I-parameter family of plane curves where, for a special member of the family, there exist two inflexions with parallel tangents. Some results can be obtained by reducing a generating family to normal forms, but others require direct calculation from the generating family.

Keywords

• central symmetry
• plane curves
• caustic
• wavefront