Bisection of geodesic segments in hyperbolic geometry
Matti Vuorinen, Gendi Wang
TL;DR
This paper presents a straightforward method for finding the midpoint of a hyperbolic geodesic segment in the half-plane or unit disk models of hyperbolic geometry.
Contribution
It introduces a simple construction for the midpoint of hyperbolic geodesic segments, enhancing geometric understanding in hyperbolic spaces.
Findings
Provides a new geometric construction method
Simplifies midpoint calculation in hyperbolic geometry
Applicable to both half-plane and disk models
Abstract
Given a pair of points in the hyperbolic half plane or the unit disk, we provide a simple construction of the midpoint of the hyperbolic geodesic segment joining the points.
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