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A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles

Yıl 2020, Cilt: 8 Sayı: 1, 117 - 122, 20.03.2020

Oğuzhan Demirel Leyla Aslan Damla Topal

https://doi.org/10.36753/mathenot.615168

Öz

H. Steinhaus [1] has
asked whether inside each acute triangle there is a point from which
perpendiculars to the sides divide the triangle into three parts of equal
areas. In this paper we present a new characteristic of similarities by use of
the Steinhaus’ Problem on partition of a triangle. 

Anahtar Kelimeler

Möbius transformation Similarity Steinhaus’ problem

Kaynakça

  • [1] Steinhaus, H., Problem No. 779 (in Polish), Matematyka, 19 (1966) 92.
  • [2] Haruki, H., Rassias, T.M., A new characteristic of Möbius transformations by use of Apollonius points of triangles. J. Math. Anal. Appl.197 (1996), no. 1, 14--22.
  • [3] Haruki, H., Rassias, T.M., A new characteristic of Möbius transformations by use of Apollonius quadrilaterals. Proc. Amer. Math. Soc. 126 (1998), no. 10, 2857--2861.
  • [4] Bulut, S., Özgür, N.Y., A new characteristic of Möbius transformations by use of Apollonius points of pentagons. Turkish J. Math. 28 (2004), no. 3, 299--305.
  • [5] Haruki, H., Rassias, T.M., A new characterization of Möbius transformations by use of Apollonius hexagons. Proc. Amer. Math. Soc. 128 (2000), no. 7, 2105--2109.
  • [6] Tyszka, A. Steinhaus' problem on partition of a triangle. Forum Geom.7 (2007), 181-185.
  • [7] Pennisi, L.L., Gordon, L.I., Lasher, S., Elements of Complex Variables, Holt, Rinehart&Winston, New York, 1963.
  • [8] Nevanlinna, R., Paatero, V., Introduction to Complex Analysis, Addison-Wesley, New York, 1964.

Yıl 2020, Cilt: 8 Sayı: 1, 117 - 122, 20.03.2020

Oğuzhan Demirel Leyla Aslan Damla Topal

https://doi.org/10.36753/mathenot.615168

Öz

Kaynakça

  • [1] Steinhaus, H., Problem No. 779 (in Polish), Matematyka, 19 (1966) 92.
  • [2] Haruki, H., Rassias, T.M., A new characteristic of Möbius transformations by use of Apollonius points of triangles. J. Math. Anal. Appl.197 (1996), no. 1, 14--22.
  • [3] Haruki, H., Rassias, T.M., A new characteristic of Möbius transformations by use of Apollonius quadrilaterals. Proc. Amer. Math. Soc. 126 (1998), no. 10, 2857--2861.
  • [4] Bulut, S., Özgür, N.Y., A new characteristic of Möbius transformations by use of Apollonius points of pentagons. Turkish J. Math. 28 (2004), no. 3, 299--305.
  • [5] Haruki, H., Rassias, T.M., A new characterization of Möbius transformations by use of Apollonius hexagons. Proc. Amer. Math. Soc. 128 (2000), no. 7, 2105--2109.
  • [6] Tyszka, A. Steinhaus' problem on partition of a triangle. Forum Geom.7 (2007), 181-185.
  • [7] Pennisi, L.L., Gordon, L.I., Lasher, S., Elements of Complex Variables, Holt, Rinehart&Winston, New York, 1963.
  • [8] Nevanlinna, R., Paatero, V., Introduction to Complex Analysis, Addison-Wesley, New York, 1964.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Oğuzhan Demirel 0000-0001-8948-1549

Leyla Aslan Bu kişi benim 0000-0002-6385-5757

Damla Topal Bu kişi benim 0000-0002-3568-3804

Yayımlanma Tarihi 20 Mart 2020
Gönderilme Tarihi 4 Eylül 2019
Kabul Tarihi 9 Mart 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 8 Sayı: 1

Kaynak Göster

APA Demirel, O., Aslan, L., & Topal, D. (2020). A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Mathematical Sciences and Applications E-Notes, 8(1), 117-122. https://doi.org/10.36753/mathenot.615168
AMA Demirel O, Aslan L, Topal D. A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Math. Sci. Appl. E-Notes. Mart 2020;8(1):117-122. doi:10.36753/mathenot.615168
Chicago Demirel, Oğuzhan, Leyla Aslan, ve Damla Topal. “A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles”. Mathematical Sciences and Applications E-Notes 8, sy. 1 (Mart 2020): 117-22. https://doi.org/10.36753/mathenot.615168.
EndNote Demirel O, Aslan L, Topal D (01 Mart 2020) A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Mathematical Sciences and Applications E-Notes 8 1 117–122.
IEEE O. Demirel, L. Aslan, ve D. Topal, “A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles”, Math. Sci. Appl. E-Notes, c. 8, sy. 1, ss. 117–122, 2020, doi: 10.36753/mathenot.615168.
ISNAD Demirel, Oğuzhan vd. “A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles”. Mathematical Sciences and Applications E-Notes 8/1 (Mart 2020), 117-122. https://doi.org/10.36753/mathenot.615168.
JAMA Demirel O, Aslan L, Topal D. A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Math. Sci. Appl. E-Notes. 2020;8:117–122.
MLA Demirel, Oğuzhan vd. “A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles”. Mathematical Sciences and Applications E-Notes, c. 8, sy. 1, 2020, ss. 117-22, doi:10.36753/mathenot.615168.
Vancouver Demirel O, Aslan L, Topal D. A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Math. Sci. Appl. E-Notes. 2020;8(1):117-22.
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