A Geometric-Probabilistic problem about the lengths of the segments intersected in straights that randomly cut a triangle

2016/01/08 by Jesús Álvarez Lobo, Lobo, Jesús Álvarez
Computer Science · Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #Engineering Technology and Methodologies #FOS: Mathematics #History and Overview (math.HO) #Image Processing and 3D Reconstruction #Metric Geometry (math.MG) #math.HO #math.MG

paper · pdf · doi:10.48550/arxiv.1602.03005

6 pages, 2 figures

arxiv created 2016/01/08 · openalex publication_date 2016/01/08 · arxiv updated 2016/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If a line cuts randomly two sides of a triangle, the length of the segment determined by the points of intersection is also random. The object of this study, applied to a particular case, is to calculate the probability that the length of such segment is greater than a certain value.

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