Pedals and inversions of quadratic curves
Differential Geometry
2019-12-09 v1 Algebraic Geometry
Abstract
The pedal of a curve in the Euclidean plane is a classical subject which has a singular point at the inflection point of the original curve or the pedal point. The primitive of a curve is a curve given by the inverse construction for making the pedal. In this paper we consider the pedal of a quadratic curve. On of the main results gives a characterization of such curves, which is one of the generalizations of limacons of Pascal.
Cite
@article{arxiv.1912.03114,
title = {Pedals and inversions of quadratic curves},
author = {Shyuichi Izumiya and Nobuko Takeuchi},
journal= {arXiv preprint arXiv:1912.03114},
year = {2019}
}
Comments
18pages, 24 figures