paper

The Geometry of the Centre Symmetry Set of a Planar Curve

arXiv:2204.11132

Abstract

The Centre Symmetry Set of a planar curve is the envelope of affine chords of , i.e. the lines joining points on with parallel tangent lines. In this paper we study global geometrical properties of this set including the number of singularities and the number of asymptotes.

23 pages, 12 figures