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arXiv · 1912.03114

Pedals and inversions of quadratic curves

Shyuichi Izumiya·Nobuko Takeuchi
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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.

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Shyuichi Izumiya, Nobuko Takeuchi. 2019-12-06. Pedals and inversions of quadratic curves. https://arxiv.org/abs/1912.03114

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