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arXiv · 1912.04728

Primitivoids and inversions of plane 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. 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.

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Shyuichi Izumiya, Nobuko Takeuchi. 2019-12-06. Primitivoids and inversions of plane curves. https://doi.org/10.1007/s13366-019-00472-9

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