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ON POLAR TAXICAB GEOMETRY IN A PLANE
ON POLAR TAXICAB GEOMETRY IN A PLANE
Park Hyun Gyu , Kim Kyung Rok , Ko Il Seog , Kim Byung Hak
Journal of applied mathematics & informatics. 2014. Sep, 32(5_6): 783-790
DOI : http://dx.doi.org/10.14317/jami.2014.783
  • Received : April 24, 2014
  • Published : September 30, 2014
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Park Hyun Gyu
Kim Kyung Rok
Ko Il Seog
Kim Byung Hak
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Park Hyun Gyu
Kim Kyung Rok
Ko Il Seog
Kim Byung Hak
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Abstract
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Abstract
Most distance functions, including taxicab distance, are defined on Cartesian plane, and recent studies on distance functions have been mainly focused on Cartesian plane. However, most streets in cities include not only straight lines but also curves. Therefore, there is a significant need for a distance function to be defined on a curvilinear coordinate system. In this paper, we define a new function named polar taxicab distance, using polar coordinates. We prove that this function satisfies the conditions of distance function. We also investigate the geometric properties and classifications of circles in the plane with polar taxicab distance.
Keywords
polar taxicab distance ;  Cartesian plane ;  curvilinear coordinate system ;  polar coordinate
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Citing 'ON POLAR TAXICAB GEOMETRY IN A PLANE '
@article{ E1MCA9_2014_v32n5_6_783} ,title={ON POLAR TAXICAB GEOMETRY IN A PLANE} ,volume={5_6} , url={http://dx.doi.org/10.14317/jami}, DOI={10.14317/jami} , number= {5_6} , journal={Journal of applied mathematics & informatics} , publisher={Korean Society of Computational and Applied Mathematics} , author={Hyun Gyu, Park and Kyung Rok, Kim and Il Seog, Ko and Byung Hak, Kim} , year={2014} , month={Sep}