arXiv subjects

Nobuko Takeuchi

Publications and source records attributed to Nobuko Takeuchi.

2 recordsLinked to original sources

arXiv2019

Pedals and inversions of quadratic curves

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.

math.DG↗

arXiv2019

Primitivoids and inversions of plane curves

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.

math.GM↗