Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 3

On the distance formulae in the generalized taxicab geometry

Pages
1578–1594
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we give the generalizedtaxicab 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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we first determine the generalized taxicab distance formulae between a point and a line andtwo parallel lines in the real plane, then we determine the generalized taxicab distance formulae between a point and aplane, two parallel planes, a point and a line, two parallel lines and two skew lines in three dimensional space, givingalso the relations between these formulae and their well-known Euclidean analogs.
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Key Findings & Data:In this paper, we first determine the generalized taxicab distance formulae between a point and a line andtwo parallel lines in the real plane, then we determine the generalized taxicab distance formulae between a point and aplane, two parallel planes, a point and a line, two parallel lines and two skew lines in three dimensional space, givingalso the relations between these formulae and their well-known Euclidean analogs.
💡
Conclusion & Impact:Finally, we give the generalizedtaxicab 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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we first determine the generalized taxicab distance formulae between a point and a line andtwo parallel lines in the real plane, then we determine the generalized taxicab distance formulae between a point and aplane, two parallel planes, a point and a line, two parallel lines and two skew lines in three dimensional space, givingalso the relations between these formulae and their well-known Euclidean analogs. Finally, we give the generalizedtaxicab 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.

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Cite This Article

ÇOLAKOĞLU, H. B. (2022). On the distance formulae in the generalized taxicab geometry. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1578–1594. https://ajindex.com/articles/607715

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References (11)

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