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Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
Primitivoids and inversions of plane curves
| Title: | Primitivoids and inversions of plane curves |
| Authors: | Izumiya, Shyuichi Browse this author →KAKEN DB | | Takeuchi, Nobuko Browse this author |
| Keywords: | Plane curves | | Primitive | | Primitivoids | | Pedal |
| 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: http://dx.doi.org/DOI:10.1007/s13366-019-00472-9 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/79674 |
| 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)
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Submitter: 泉屋 周一
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