- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- On the distance formulae in the generalized taxicab geometry
On the distance formulae in the generalized taxicab geometry
Authors : Harun Bariş Çolakoğlu
Pages : 1578-1594
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Generalized taxicab distance, metric, generalized taxicab geometry, three dimensional space, $n$-dimensional space