Araştırma Makalesi

A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles

Cilt: 9 Sayı: 3 31 Aralık 2024
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A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles

Öz

In this study, based on a geometric approach, we obtained a new characteristic of general linear transformations, also known as similarities, by use of symmedian points of triangles in complex z-plane.

Anahtar Kelimeler

Kaynakça

  1. [1] Li, B., Wang, Y., “A new characterization for isometries by triangles”, New York J. Math. 15 (2009) : 423-429.
  2. [2] Lester, J., “Euclidean plane point-transformations preserving unit area or unit perimeter”, Arch. Math 45 (1985) : 561-564.
  3. [3] Lester, J., “Martin’s theorem for Euclidean n-space and a generalization to the perimeter case”, J.Geom. 27 (1986) : 29-35.
  4. [4] Benz, W., “Mappings preserving area 1 of triangles”, J.Geom. 79 (2004) : 27-30.
  5. [5] Demirel, O., On mappings that preserve Fermat-Torricelli points”, Math. Commun. 26 (2021) : 21-27.
  6. [6] Demirel, O., Aslan, L., Topal, D., “A characteristic of similarities by use of Steinhaus’ problem on partition of triangles”, Mathematical Sciences and Applications E- Notes 8(1) (2020) : 117-122.
  7. [7] Aley, R.J., “Some properties of the symmedian point”, Proceedings o the Indiana Academy of Science 10 (1900) : 85-88.
  8. [8] Haruki, H., Rassias, T.M., “A new characteristic of Möbius transformations by use of Apollonius points of triangles”, J. Math. Anal. Appl. 197(1) (1996) : 14-22.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2024

Gönderilme Tarihi

4 Nisan 2024

Kabul Tarihi

23 Ekim 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 9 Sayı: 3

Kaynak Göster

APA
Ekiçi, Ç., & Demirel, O. (2024). A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles. Journal of Engineering Technology and Applied Sciences, 9(3), 157-165. https://doi.org/10.30931/jetas.1464356
AMA
1.Ekiçi Ç, Demirel O. A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles. Journal of Engineering Technology and Applied Sciences. 2024;9(3):157-165. doi:10.30931/jetas.1464356
Chicago
Ekiçi, Çağla, ve Oğuzhan Demirel. 2024. “A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles”. Journal of Engineering Technology and Applied Sciences 9 (3): 157-65. https://doi.org/10.30931/jetas.1464356.
EndNote
Ekiçi Ç, Demirel O (01 Aralık 2024) A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles. Journal of Engineering Technology and Applied Sciences 9 3 157–165.
IEEE
[1]Ç. Ekiçi ve O. Demirel, “A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles”, Journal of Engineering Technology and Applied Sciences, c. 9, sy 3, ss. 157–165, Ara. 2024, doi: 10.30931/jetas.1464356.
ISNAD
Ekiçi, Çağla - Demirel, Oğuzhan. “A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles”. Journal of Engineering Technology and Applied Sciences 9/3 (01 Aralık 2024): 157-165. https://doi.org/10.30931/jetas.1464356.
JAMA
1.Ekiçi Ç, Demirel O. A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles. Journal of Engineering Technology and Applied Sciences. 2024;9:157–165.
MLA
Ekiçi, Çağla, ve Oğuzhan Demirel. “A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles”. Journal of Engineering Technology and Applied Sciences, c. 9, sy 3, Aralık 2024, ss. 157-65, doi:10.30931/jetas.1464356.
Vancouver
1.Çağla Ekiçi, Oğuzhan Demirel. A Characterization of General Linear Transformations by Use of Symmedian Points of Triangles. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2024;9(3):157-65. doi:10.30931/jetas.1464356