Year 2020, Volume 8 , Issue 1, Pages 117 - 122 2020-03-20

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

Oğuzhan DEMİREL [1] , Leyla ASLAN [2] , Damla TOPAL [3]


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. 
Möbius transformation, Similarity, Steinhaus’ problem
  • [1] Steinhaus, H., Problem No. 779 (in Polish), Matematyka, 19 (1966) 92.
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  • [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.
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0001-8948-1549
Author: Oğuzhan DEMİREL (Primary Author)
Institution: AFYON KOCATEPE UNIVERSITY
Country: Turkey


Orcid: 0000-0002-6385-5757
Author: Leyla ASLAN
Institution: AFYON KOCATEPE UNIVERSITY

Orcid: 0000-0002-3568-3804
Author: Damla TOPAL
Institution: AFYON KOCATEPE UNIVERSITY

Dates

Publication Date : March 20, 2020

Bibtex @research article { mathenot615168, journal = {Mathematical Sciences and Applications E-Notes}, issn = {}, eissn = {2147-6268}, address = {}, publisher = {Murat TOSUN}, year = {2020}, volume = {8}, pages = {117 - 122}, doi = {10.36753/mathenot.615168}, title = {A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles}, key = {cite}, author = {DEMİREL, Oğuzhan and ASLAN, Leyla and TOPAL, Damla} }
APA DEMİREL, 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 . DOI: 10.36753/mathenot.615168
MLA DEMİREL, 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 (2020 ): 117-122 <https://dergipark.org.tr/en/pub/mathenot/issue/53229/615168>
Chicago DEMİREL, 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 (2020 ): 117-122
RIS TY - JOUR T1 - A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles AU - Oğuzhan DEMİREL , Leyla ASLAN , Damla TOPAL Y1 - 2020 PY - 2020 N1 - doi: 10.36753/mathenot.615168 DO - 10.36753/mathenot.615168 T2 - Mathematical Sciences and Applications E-Notes JF - Journal JO - JOR SP - 117 EP - 122 VL - 8 IS - 1 SN - -2147-6268 M3 - doi: 10.36753/mathenot.615168 UR - https://doi.org/10.36753/mathenot.615168 Y2 - 2020 ER -
EndNote %0 Mathematical Sciences and Applications E-Notes A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles %A Oğuzhan DEMİREL , Leyla ASLAN , Damla TOPAL %T A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles %D 2020 %J Mathematical Sciences and Applications E-Notes %P -2147-6268 %V 8 %N 1 %R doi: 10.36753/mathenot.615168 %U 10.36753/mathenot.615168
ISNAD DEMİREL, Oğuzhan , ASLAN, Leyla , TOPAL, Damla . "A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles". Mathematical Sciences and Applications E-Notes 8 / 1 (March 2020): 117-122 . https://doi.org/10.36753/mathenot.615168
AMA DEMİREL 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): 117-122.
Vancouver DEMİREL O , ASLAN L , TOPAL D . A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles. Mathematical Sciences and Applications E-Notes. 2020; 8(1): 122-117.