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.
Citation
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
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