Research Article
BibTex RIS Cite

On Fermat Point in CC-Plane

Year 2022, Issue: 41, 492 - 498, 30.11.2022
https://doi.org/10.31590/ejosat.1195040

Abstract

In this paper, the properties related to Fermat point of a triangle in the planes equipped with Taxicab and Chinese checkers metrics are examined and examples are presented.

References

  • Akça Z., Kaya R., (1997), On the Taxicab Trigonometry, Jour. of Inst. of Math &.Comp Sci. (Math Ser.), 10, 151 – 159.
  • Akça, Z., Bayar, A. and Ekmekçi, S., (2007), The norm in CC-plane geometry. Pi Mu Epsilon J. 12, no. 6, 321-324 .
  • Bayar, A., Ekmekçi,S. and Özcan, M., (2009), On Trigonometric Functions and Cosine-Sine Rules in Taxicab Plane, International Electronic Journal of Geometry 2, 1 , 17-24.
  • Hanson, J.,R., (2014), Fermat Point for Taxicab Triangle, International Journal of Mathematical Education in Science and Technology, 2 – 6.
  • Hanson, J., R., (2016), Fermat Point for A Triangle in Three Dimensions Using The Taxicab Metric, 2.
  • Kaya, R., Akça, Z., Güanaltılı, İ. and Özcan, M., (2000), General Equation for Taxicab Conics and Their Classification, Mitt. Math. Ges. Hamburg, 19, 135 – 148.
  • Krause,E.F.,(1965), Taxicab Geometry, Addison – Wesley Publishing Company, Menlo Park, CA, p.88.
  • Menger, K., (1952), You Will Like Geometry, Guildbook of the Illinois Institute of Technology GeometryExhibit, Museum of Science and Industry, Chicago,III,.
  • Minkowski, H., (1967), Gesammelte Abhandlungen, Chelsa Publishing Co. New York, 836p.
  • Özcan, M., Ekmekçi, S., and Bayar, A., (2002), The Taxicab Lengths Under Rotations The Pi Mu Epsilon Journal, Vol. 11, No. 7, 381 – 384.
  • Turan. M, (2004), Çin Dama Düzleminde Konikler Üzerine, Doktora Tezi, Eskişehir Osmangazi Üniversitesi, s.149.

Çin Dama Düzleminde Fermat Noktası

Year 2022, Issue: 41, 492 - 498, 30.11.2022
https://doi.org/10.31590/ejosat.1195040

Abstract

Bu makalede,
Taksi ve Çin daması metrikleri ile donatılmış düzlemlerde bir üçgenin Fermat noktası ile ilgili özellikler incelenmiş ve örnekler sunulmuştur.

References

  • Akça Z., Kaya R., (1997), On the Taxicab Trigonometry, Jour. of Inst. of Math &.Comp Sci. (Math Ser.), 10, 151 – 159.
  • Akça, Z., Bayar, A. and Ekmekçi, S., (2007), The norm in CC-plane geometry. Pi Mu Epsilon J. 12, no. 6, 321-324 .
  • Bayar, A., Ekmekçi,S. and Özcan, M., (2009), On Trigonometric Functions and Cosine-Sine Rules in Taxicab Plane, International Electronic Journal of Geometry 2, 1 , 17-24.
  • Hanson, J.,R., (2014), Fermat Point for Taxicab Triangle, International Journal of Mathematical Education in Science and Technology, 2 – 6.
  • Hanson, J., R., (2016), Fermat Point for A Triangle in Three Dimensions Using The Taxicab Metric, 2.
  • Kaya, R., Akça, Z., Güanaltılı, İ. and Özcan, M., (2000), General Equation for Taxicab Conics and Their Classification, Mitt. Math. Ges. Hamburg, 19, 135 – 148.
  • Krause,E.F.,(1965), Taxicab Geometry, Addison – Wesley Publishing Company, Menlo Park, CA, p.88.
  • Menger, K., (1952), You Will Like Geometry, Guildbook of the Illinois Institute of Technology GeometryExhibit, Museum of Science and Industry, Chicago,III,.
  • Minkowski, H., (1967), Gesammelte Abhandlungen, Chelsa Publishing Co. New York, 836p.
  • Özcan, M., Ekmekçi, S., and Bayar, A., (2002), The Taxicab Lengths Under Rotations The Pi Mu Epsilon Journal, Vol. 11, No. 7, 381 – 384.
  • Turan. M, (2004), Çin Dama Düzleminde Konikler Üzerine, Doktora Tezi, Eskişehir Osmangazi Üniversitesi, s.149.
There are 11 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Ziya Akça 0000-0001-6379-0546

Barış Tözen This is me 0000-0002-4522-2171

Early Pub Date October 2, 2022
Publication Date November 30, 2022
Published in Issue Year 2022 Issue: 41

Cite

APA Akça, Z., & Tözen, B. (2022). Çin Dama Düzleminde Fermat Noktası. Avrupa Bilim Ve Teknoloji Dergisi(41), 492-498. https://doi.org/10.31590/ejosat.1195040