- Turkish Journal of Mathematics and Computer Science
- Vol: 9
- Steinhaus' Problem on Partition of a Hyperbolic Triangle
Steinhaus' Problem on Partition of a Hyperbolic Triangle
Authors : Oğuzhan DEMİREL
Pages : 98-102
View : 6 | Download : 5
Publication Date : 2018-12-28
Article Type : Research
Abstract :Hugo Steinhaus ([1],[2]) 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 solution of this problem in the Poincaré disc model of hyperbolic geometry.Keywords : Steinhaus' problem, hyperbolic triangle, hyperbolic quadrilateral, Gauss-Bonnet theorem