Centre Symmetry Sets of Families of Plane Curves

Demonstratio mathematica

article

Peter Giblin¹  Graham Reeve² 

[1] DEPARTMENT OF MATHEMATICAL SCIENCES THE UNIVERSITY OF LIVERPOOL L69 7ZL;ICMC, UNIVERSIDADE DE SÃO PAULO

关键词: central symmetry;    plane curves;    caustic;    wavefront;   

DOI  :  10.1515/dema-2015-0016

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY