A solution of Steinhaus' problem on partition of a triangle
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- December 2006
- DOI:
- 10.48550/arXiv.math/0612326
- arXiv:
- arXiv:math/0612326
- Bibcode:
- 2006math.....12326T
- Keywords:
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- Mathematics - Metric Geometry;
- 51M04;
- 51M25
- E-Print:
- 7 pages, 8 figures, LaTeX2e, added one reference and results on obtuse triangles