Turkish Journal of Mathematics
Abstract
In this paper, we first determine the generalized taxicab distance formulae between a point and a line and two parallel lines in the real plane, then we determine the generalized taxicab distance formulae between a point and a plane, two parallel planes, a point and a line, two parallel lines and two skew lines in three dimensional space, giving also the relations between these formulae and their well-known Euclidean analogs. Finally, we give the generalized taxicab distance formulae between a point and a plane, a point and a line and two skew lines in $n$-dimensional space, by generalizing the concepts used for three dimensional space to $n$-dimensional space.
DOI
10.3906/mat-1809-78
Keywords
Generalized taxicab distance, metric, generalized taxicab geometry, three dimensional space, $n$-dimensional space
First Page
1578
Last Page
1594
Recommended Citation
ÇOLAKOĞLU, H. B (2019). On the distance formulae in the generalized taxicab geometry. Turkish Journal of Mathematics 43 (3): 1578-1594. https://doi.org/10.3906/mat-1809-78
