Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular multiplicative plane curves. In addition, we elucidate the connection between the multiplicative evolutoids and the multiplicative pedaloids of a regular multiplicative plane curve. Next, we extend the definitions of multiplicative evolutoids and pedaloids to encompass the multiplicative frontal curves. Finally, we present two examples to demonstrate the main results.
Authors
- Haiming Liu (ORCID: https://orcid.org/0000-0002-0410-5980)
- Xinyu Yao
Institutions
- Mudanjiang Normal University (CN)
Publication Details
- Journal
- International Journal of Mathematics and Mathematical Sciences
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/ijmm/9925055
- Citations
- 2
- Primary Topic
- Mathematics and Applications
- Type
- article
- Field-Weighted Citation Impact
- 8.18
Funders
- Natural Science Foundation of Heilongjiang Province
- Mudanjiang Normal University