Primitivoids and inversions of plane curves

  • Shyuichi IzumiyaEmail author
  • Nobuko Takeuchi
Original Paper


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.


Plane curves Primitive Primitivoids Pedal 

Mathematics Subject Classification

Primary 53A04 Secondary 53A05 



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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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