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Osječki matematički list, Vol. 13 No. 2, 2013.

Professional paper

On the devil's curve

Martina Vučićević orcid id orcid.org/0000-0001-8136-8971 ; Tehničko veleučilište u Zagrebu, Zagreb, Hrvatska
Ivana Božić ; Tehničko veleučilište u Zagrebu, Zagreb, Hrvatska
Bojan Kovačić orcid id orcid.org/0000-0002-3893-2191 ; Tehničko veleučilište u Zagrebu, Zagreb, Hrvatska

Full text: croatian pdf 1.825 Kb

page 139-154

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Abstract

In this article, we firstly describe the connection between the devil's curve and the game of "diabolo" the curve is named after. We shortly describe the history of studying the curve, as well as basic definitions and terms of algebraic geometry used in the article. Then
we give the definition, basic properties and basic forms of the equation of the curve, whereby we especially derive the parametric equation of the curve. As a typical example of the
devil's curve, we consider the electric motor curve and its properties. Finally, we consider one of the possible constructions of the devil's curve using the equilateral hyperbola.

Keywords

devil's curve; the diabolo game; electric motor curve

Hrčak ID:

114025

URI

https://hrcak.srce.hr/114025

Publication date:

18.12.2013.

Article data in other languages: croatian

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