Bisecting a triangle in a given direction

2021/01/16 by Robin Whitty, Whitty, Robin
Computer Science · Mathematics · #51-08 #FOS: Mathematics #History and Overview (math.HO) #Mathematics and Applications #Matrix Theory and Algorithms #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2101.07657

openalex publication_date 2021/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a triangle, what is the equation of the line which bisects its area and has a given slope? The set of all lines bisecting the area of a triangle has been elegantly determined as a certain 'deltoid' envelope and this gives an indirect method of solution. We find that vector algebra allows the equation to be written down rather directly and neatly.

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