Original scientific paper

On Taxicab Incircle and Circumcircle of a Triangle

Temel Ermiş ; Department of Mathematics and Computer Sciences, Faculty of Science and Arts, University of Eskişehir Osmangazi, Eskişehir, Turkey
Özcan Gelişgen orcid.org/0000-0001-7071-6758 ; Department of Mathematics and Computer Sciences, Faculty of Science and Arts, University of Eskişehir Osmangazi, Eskişehir, Turkey
Rustem Kaya ; Department of Mathematics and Computer Sciences, Faculty of Science and Arts, University of Eskişehir Osmangazi, Eskişehir, Turkey

Abstract

In this work, we study existence of taxicab incircle and circumcircle of a triangle in the taxicab plane and give the functional relationship between them in terms of slope of sides of the triangle. Finally, we show that the point of intersection of taxicab inside angle bisectors of a triangle
is the center of taxicab incircle of the triangle.

Keywords

taxicab distance; taxicab circle; taxicab incircle; taxicab circumcircle; taxicab plane; taxicab geometry

Hrčak ID:

96180

URI

https://hrcak.srce.hr/96180

Publication date:

30.1.2013.

Article data in other languages: croatian

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