Involute-Evolute Curves in Galilean Space G_3
A. Z. Azak, M. Aky\.{i}\~{g}\.{i}t, S. Ersoy
TL;DR
This paper introduces the concept of involute-evolute curve pairs in Galilean space and establishes several fundamental theorems related to their properties in three-dimensional Galilean geometry.
Contribution
It provides the first formal definition of involute-evolute curves in Galilean space and derives key theorems characterizing their geometric relationships.
Findings
Defined involute-evolute curves in Galilean space
Proved fundamental theorems about their properties
Extended classical curve concepts to Galilean geometry
Abstract
Abstract In this paper, definition of involute-evolute curve couple in Galilean space is given and some well-known theorems for the involute-evolute curves are obtained in 3-dimensional Galilean space.
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Taxonomy
Topicsadvanced mathematical theories · Computer Graphics and Visualization Techniques · Advanced Numerical Analysis Techniques