English

Steinhaus' problem on partition of a triangle

Metric Geometry 2009-09-29 v9

Abstract

H. Steinhaus asked a question whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts with equal areas. We present two methods of solving Steinhaus' problem.

Keywords

Cite

@article{arxiv.math/0612326,
  title  = {Steinhaus' problem on partition of a triangle},
  author = {Apoloniusz Tyszka},
  journal= {arXiv preprint arXiv:math/0612326},
  year   = {2009}
}

Comments

7 pages, 8 figures, LaTeX2e, the version accepted by Forum Geometricorum

R2 v1 2026-07-22T17:47:43.389Z