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

Year 2020, , 117 - 122, 20.03.2020

Oğuzhan Demirel , Leyla Aslan Damla Topal

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

Abstract

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. 

Keywords

Möbius transformation, Similarity, Steinhaus’ problem

References

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