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

On the distance formulae in the generalized taxicab geometry

Sayfa
1578–1594
Yayın Tarihi
2022-11-03
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (11)

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  3. Çolakoğlu HB. The generalized taxicab group. International Electronic Journal of Geometry 2018; 11: 83-89
  4. Çolakoğlu HB. On generalized taxicab metric in three dimensional space. Communications Faculty of Sciences University of Ankara Series A1-Mathematics and Statistics 2019; 68 (2): 1359-1369
  5. Çolakoğlu HB. Area of a triangle in terms of the m-generalized taxicab distance. Konuralp Journal of Mathematics 2019; 7 (1): 222-227
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