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Primitivoids and inversions of plane curves

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Title: Primitivoids and inversions of plane curves
Authors: Izumiya, Shyuichi Browse this author →KAKEN DB
Takeuchi, Nobuko Browse this author
Keywords: Plane curves
Issue Date: 4-Nov-2019
Publisher: Springer
Journal Title: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Volume: 61
Start Page: 317
End Page: 334
Publisher DOI: 10.1007/s13366-019-00472-9
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.
Rights: This is a post-peer-review, pre-copyedit version of an article published in Beiträge zur Algebra und Geometrie. The final authenticated version is available online at:
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 泉屋 周一

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