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Primitivoids and inversions of plane curves

  • Shyuichi IzumiyaEmail author
  • Nobuko Takeuchi
Original Paper
  • 10 Downloads

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.

Keywords

Plane curves Primitive Primitivoids Pedal 

Mathematics Subject Classification

Primary 53A04 Secondary 53A05 

Notes

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Copyright information

© The Managing Editors 2019

Authors and Affiliations

  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan
  2. 2.Department of MathematicsTokyo Gakugei UniversityKoganeiJapan

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