1
Department of Mechanics, Faculty of Engineering, University of Zanjan.
2
Department of Mechanics, faculty of Engineering, University of Zanjan.
10.30504/mct.2025.1553.2090
Abstract
In this article, we first present the basic definitions of the Involute and flat evolute curves, along with their history. Then, we briefly introduce the properties related to these curves and their applications, and we present the basic formulas for calculating the parametric equations of the involute of any arbitrary curve. In the following, the involute curves are presented for several examples, including a circle, a semi-cubic parabola, a catenary curve, and a cyclic curve.
Teimoori Faal,R and Ayatollahi,M . (2025). Getting to know the involute curve and its applications in engineering. The first part: flat involute curve. (e455). Mathematical Culture and Thought, (), e455 doi: 10.30504/mct.2025.1553.2090
MLA
Teimoori Faal,R , and Ayatollahi,M . "Getting to know the involute curve and its applications in engineering. The first part: flat involute curve" .e455 , Mathematical Culture and Thought, , , 2025, e455. doi: 10.30504/mct.2025.1553.2090
HARVARD
Teimoori Faal R, Ayatollahi M. (2025). 'Getting to know the involute curve and its applications in engineering. The first part: flat involute curve', Mathematical Culture and Thought, (), e455. doi: 10.30504/mct.2025.1553.2090
CHICAGO
R Teimoori Faal and M Ayatollahi, "Getting to know the involute curve and its applications in engineering. The first part: flat involute curve," Mathematical Culture and Thought, (2025): e455, doi: 10.30504/mct.2025.1553.2090
VANCOUVER
Teimoori Faal R, Ayatollahi M. Getting to know the involute curve and its applications in engineering. The first part: flat involute curve. An Expository Journal of the Iranian Mathematical Society. 2025;():e455 (In Persian). doi: 10.30504/mct.2025.1553.2090
