Primitivoids and inversions of plane curves
General Mathematics
2019-12-11 v1
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. The primitive of a curve is a curve given by the inverse construction for making the pedal. We consider relatives of the primitive of a plane curve which we call primitivoids. We investigate the relationship of primitivoids and pedals of plane curves.
Cite
@article{arxiv.1912.04728,
title = {Primitivoids and inversions of plane curves},
author = {Shyuichi Izumiya and Nobuko Takeuchi},
journal= {arXiv preprint arXiv:1912.04728},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1912.03114