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.

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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

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article

Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves

Haiming Liu, Xinyu Yao
2 citations
International Journal of Mathematics and Mathematical Sciences
Mathematics and Applications
8.18
article

Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves

Haiming Liu, Xinyu Yao
article en
2 citations

Abstract

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.

International Journal of Mathematics and Mathematical SciencesVol. 2025(1)
Mudanjiang Normal University (CN)
Natural Science Foundation of Heilongjiang Province, Mudanjiang Normal University
Reduced inequalities
Openalex Percentile: Top 3%
Mathematics and Applications
8.18
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