On the construction of a triangle from the feet of its angle bisectors

2009/10/06 by Alexey V. Ustinov, Ustinov, Alexey V.
Engineering · Mathematics · #51M05 #51M15 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #History and Overview (math.HO) #Mathematics and Applications #Metric Geometry (math.MG) #math.HO #math.MG #msc:51M05 #msc:51M15

paper · pdf · doi:10.48550/arxiv.0910.1000

1 page

arxiv created 2009/10/06 · openalex publication_date 2009/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the problem of construction of a triangle from the feet of its internal angle bisectors. It is proved that in general case ruler-and-compass solution of this problem is impossible.

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