Classification of conics and Cassini curves in Minkowski space-time plane - Egyptian Knowledge Bank

387218

Classification of conics and Cassini curves in Minkowski space-time plane

Article

Last updated: 31 Dec 2024

Subjects

Abstract

In this paper we use the Apollonius definition of conics to generate algebraic curves in
the Minkowski space-time plane M 2 , which turn out to be different from classical conic sections. We
extend and classify this sort of “M-conics". We discuss the cases of the singularity points of these
M-conics, coming from the transition from timelike world to spacelike world through the lightlike
one. Finally, we translate the classical concept of Cassini curves with two foci and that of (multifocal)
Cassini curves to Minkowski planes M 2 .

DOI

10.1016/j.joems.2015.07.002

Keywords

Minkowski space-time, plane curve, multi foci curves, Cassini curves

Authors

View Authors

First Name

Emad

Last Name

Shonoda

MiddleName

Affiliation

Department of Mathematics and Computer Science, Faculty of Science, Port-Said University, Port-Said, Egypt

Email

City

Orcid

Volume

Article Issue

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

270

Page End

278

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 270-278.pdf

PDF . 3.1MB

Link

https://joems.journals.ekb.eg/article_387218.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387218

Order

387,218

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle