Bisecting a triangle in a given direction

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Publication:6358596

arXiv2101.07657MaRDI QIDQ6358596

Robin Whitty

Publication date: 16 January 2021

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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