Korean J. Math. Vol. 22 No. 3 (2014) pp.567-581
DOI: https://doi.org/10.11568/kjm.2014.22.3.567

A study on quadratic curves and generalized eccentricity in polar taxicab geometry

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Published: Sep 25, 2014
Keywords:
polar taxicab distance, eccentricity
Mathematics Subject Classification:
51K05

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Kyung Rok Kim
Kyungi Science High School
Hyun Gyu Park
Kyungi Science High School
Il Seog Ko
Kyungi Science High School
Byung Hak Kim
Department of Applied Mathematics, Kyung Hee University, Yongin 446-701, Republic of Korea

Abstract

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 pre-existing metrics in terms of describing curved routes. Previous study has looked into the 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.


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Supporting Agencies

This work was supported by the Research Grant of Kyung Hee University(KHU-20130134)

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