Journals / Konuralp Journal of Mathematics / 2014 / Volume: 2 Issue: 2

AREA FORMULAS FOR A TRIANGLE IN THE m-PLANE

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Publication Date
2014-12-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

The two of them are m−version of thestandart area formula for a triangle in the Euclidean plane, and the third oneis a m−version of the well-known Heron s formula

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we give three area formulas for a triangle in them-plane in terms of the m−distance.
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Key Findings & Data:In this paper, we give three area formulas for a triangle in them-plane in terms of the m−distance.
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Conclusion & Impact:The two of them are m−version of thestandart area formula for a triangle in the Euclidean plane, and the third oneis a m−version of the well-known Heron s formula
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:m−distance · m−plane · Heron s formula

Abstract

In this paper, we give three area formulas for a triangle in them-plane in terms of the m−distance. The two of them are m−version of thestandart area formula for a triangle in the Euclidean plane, and the third oneis a m−version of the well-known Heron s formula

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Cite This Article

Gelişgen, Ö., Temelermiş, T. (2014). AREA FORMULAS FOR A TRIANGLE IN THE m-PLANE. Konuralp Journal of Mathematics, Volume: 2 Issue: 2. https://ajindex.com/articles/1521967

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References (18)

  1. Chen G., Lines and Circles in Taxicab Geometry, Master Thesis, Department of Mathematics and Computer Science, University of Central Missouri, 1992.
  2. C¸ olako˘glu H. B., Taksi, Maksimum, C¸ in dama ve Alfa D¨uzlemlerinin Bazı ¨Ozellikleri ve Bir Genelle¸stirilmesi, PhD thesis, Eski¸sehir Osmangazi ¨Universitesi, 2009.
  3. C¸ olako˘glu H. B. and Kaya R., Taxicab Versions of the Pythagorean Theorem, Pi Mu Epsilon J. (PMEJ), (in press). C¸ olako˘glu H. B. and Kaya R., Chinese Checker Versions of the Pythagorean Theorem, Int. J. Contemp. Math. Sciences. (IJCMS), 4 (2) (2009), 61-69.
  4. C¸ olako˘glu H. B. and Kaya R., A Generalization of Some Well-Known Distances and Related Isometries, Mathematical Communications, 16 (1), (2011), 21-35.
  5. C¸ olako˘glu H. B.,Geli¸sgen ¨O. and Kaya R., Area formulas for a triangle in the alpha plane, Mathematical Communications, 18 (1), (2013), 123-132.
  6. Geli¸sgen ¨O. and Kaya R., On α-distance in Three Dimensional Space, Applied Sciences (APPS), 8 (2006), 65-69.
  7. Geli¸sgen ¨O. and Kaya R., Generalization of α-distance to n-dimensional Space, Scientific- Professional Information Journal of Croatian Society for Constructive Geometry and Com- puter Graphics (KoG), 10 (2006), 33-35.
  8. Geli¸sgen ¨O. and Kaya R., CC Analog of the Theorem of Pythagoras, Algebras, Groups and Geometries (AGG), 23 (2) (2006), 179-188.
  9. Geli¸sgen ¨O. and Kaya R., Alpha(i) Distance in n-dimensional Space, Applied Sciences, 10, (2008), 88-93.
  10. Geli¸sgen ¨O. and Kaya R., CC-Version of The Heron’s Formula, Missouri Journal of Mathe- matical Sciences, 21 (2), (2009), 94-110.
  11. Kaya R. and Colakoglu H. B., Taxicab Versions of Some Euclidean Theorems, Int. Jour. of Pure and Appl. Math. (IJPAM), 26 (1), (2006), 69-81.
  12. Krause E. F., Taxicab Geometry, Addison-Wesley, Menlo Park, California, 1975; Dover Pub- lications, New York, 1987.
  13. Minkowski H., Gesammelte Abhandlungen, Chelsa Publishing Co. New York, 1967.
  14. ¨Ozcan M. and Kaya R., Area of a Triangle in terms of the Taxicab Distance, Missouri J. of Math. Sci., 15 (3) (2003), 178-185.
  15. Tian S., Alpha Distance-A Generalization of Chinese Checker Distance and Taxicab Distance, Missouri J. of Math. Sci. (MJMS), 17 (1), (2005), 35-40.
  16. Eskisehir Osmangazi University, Art and Sciences Faculty,, Mathematics-Computer Department, 26480 Eskisehir-TURKEY
  17. E-mail address: [email protected], [email protected]
  18. C¸ olako˘glu H. B., Taksi, Maksimum, C¸ in dama ve Alfa D¨uzlemlerinin Bazı ¨Ozellikleri ve Bir Genelle¸stirilmesi, PhD thesis, Eski¸sehir Osmangazi ¨Universitesi, 2009.