A STUDY ON QUADRATIC CURVES AND GENERALIZED ECCENTRICITY IN POLAR TAXICAB GEOMETRY

Kyung Rok Kim, Hyun Gyu Park, Il Seog Ko, Byung Hak Kim
2014 Korean Journal of Mathematics  
Over the years, there has been much research conducted on quadratic curves and the set of points with the generalized notion of eccentricity in a plane with metrics such as taxicab distance or Chinese-checker distance. On the other hand, polar taxicab distance has been newly proposed on the polar coordinate system, a type of curvilinear coordinate system, to overcome the limitation of preexisting metrics in terms of describing curved routes. Previous study has looked into the fundamental
more » ... fundamental properties of this metric. From this point of view, we study the quadratic curves and the set of points with the generalized notion of eccentricity in a plane with polar taxicab distance.
doi:10.11568/kjm.2014.22.3.567 fatcat:4jzh5xwvmjgpdkcm24s2y76cta