Centre Symmetry Sets of Families of Plane Curves

Centre Symmetry Sets of Families of Plane Curves

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 fr...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Demonstratio mathematica 2015-06, Vol.48 (2), p.167-192
Hauptverfasser: Giblin, Peter, Reeve, Graham
Format: Artikel
Sprache:eng
Schlagworte:
caustic
central symmetry
plane curves
wavefront
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0420-1213
0420-1213
2391-4661
DOI:10.1515/dema-2015-0016