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Spring 2002 On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties
Münevver Özcan, Rüstem Kaya
Missouri J. Math. Sci. 14(2): 107-117 (Spring 2002). DOI: 10.35834/2002/1402107

Abstract

In this work, it is shown that a point of division divides a related line segment in the same ratio both in the taxicab and Euclidean planes. Consequently, the coordinates of the division point can be determined by the same formula as in the Euclidean plane. In the latter parts of the paper, taxicab analogues of Ceva's and Menelaus' Theorems and the theorem of directed lines are given.

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Münevver Özcan. Rüstem Kaya. "On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties." Missouri J. Math. Sci. 14 (2) 107 - 117, Spring 2002. https://doi.org/10.35834/2002/1402107

Information

Published: Spring 2002
First available in Project Euclid: 4 October 2019

zbMATH: 1030.51013
MathSciNet: MR1907847
Digital Object Identifier: 10.35834/2002/1402107

Rights: Copyright © 2002 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.14 • No. 2 • Spring 2002
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