3] | [rho](u, j) = [rho](u, [gamma](j))} is the hyperbolic bisector
of the geodesic linking j to [gamma](j).
Therefore, from property 3b, we also obtain that they are the bisectors
of the angles in the orthic triangle [DELTA][P.
FIGURE 2 OMITTED] bisector
, the triangle ACB is always isosceles.
In that case, there is a one-to-one correspondence between Voronoi regions and triangulation vertices (nodes); Voronoi edges are portions of perpendicular bisectors
of triangulation edges; and the set of Voronoi vertices coincides with the set of triangle circumcenters.
For the corresponding three bisectors
problem, there are two cases, according to one consider the internal or the external bisectors
To appreciate how useful the perpendicular bisector
is in everyday life and activities, students are introduced to the Voronoi diagram--a tool that is interesting, helpful, sometimes counter-intuitive and always fun.
Let line DH be the perpendicular bisector
of line BF.
A well-known elementary construction is finding the bisector
of two points using the intersection of two circles of equal radii (Fig.
These rays can be shown to be the perpendicular bisectors
of the line segments connecting the roots.
First, they learned to use a compass and a straight edge to construct several figures, including equilateral triangles, regular hexagons, perpendicular bisectors
, and parallel lines.
The centre for Figure 5a is obtained from the intersection of the perpendicular bisectors
of any two sides of the triangle.
In  (tracking with certain node sequences), considering four sensors deployed as grid, the field should be divided into eight faces by the intersections of the perpendicular bisectors
of each two nodes.