1. On curves with circles as their isoptics
- Author
-
Waldemar Cieślak and Witold Mozgawa
- Subjects
Pure mathematics ,Class (set theory) ,Plane curve ,Applied Mathematics ,General Mathematics ,010102 general mathematics ,0211 other engineering and technologies ,Regular polygon ,02 engineering and technology ,Characterization (mathematics) ,Ellipse ,01 natural sciences ,Discrete Mathematics and Combinatorics ,0101 mathematics ,021101 geological & geomatics engineering ,Mathematics - Abstract
In the present paper we describe the family of all closed convex plane curves of class $$C^1$$ C 1 which have circles as their isoptics. In the first part of the paper we give a certain characterization of all ellipses based on the notion of isoptic and we give a geometric characterization of curves whose orthoptics are circles. The second part of the paper contains considerations on curves which have circles as their isoptics and we show the form of support functions of all considered curves.
- Published
- 2021