Abstract
The bisector of two points in a normed plane is the set of points with equal distances from the given points. Under general conditions (e.g. in strictly convex planes) the bisector is a curve that can be represented as a graph of a real function. We give sharp bounds for the derivative of this function.
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Väisälä, J. Slopes of bisectors in normed planes. Beitr Algebra Geom 54, 225–235 (2013). https://doi.org/10.1007/s13366-012-0106-6
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DOI: https://doi.org/10.1007/s13366-012-0106-6