Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483508 | Journal of the Egyptian Mathematical Society | 2016 | 9 Pages |
Abstract
In this paper we use the Apollonius definition of conics to generate algebraic curves in the Minkowski space-time plane M2, 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 M2.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Emad N. Shonoda,