The main idea is to detect whether the communication between the mobile beacon and the static beacons violates the communication properties and then the attacker can be localized as the center of its communication disk by finding the intersection point of the chords* perpendicular bisector
. The simulation results illustrated that our proposed scheme can obtain a high wormhole attack detection probability together with a high accuracy for localizing the attackers.
intersection of the perpendicular bisector
of segment AB and the
(2) From the geometric symmetry, it is known that the target position P is below the line BE which is the perpendicular bisector
of line CF.
In taxicab geometry, the perpendicular bisector
and the circle are defined in the same way as in Euclidean geometry, but they look quite different.
Since P is on the perpendicular bisector
of AF, it must be equi-distant from the directrix DA and the focus F.
Given two non-identical points P and Q, one can fold the unique perpendicular bisector
b of the line segment PQ.
The verdict: It is easier to trace a circle through two end-points of one of its diameters than through three arbitraiy points, requiring two perpendicular bisectors
in the process.
of these two lines were drawn and the intersection point was the centre of the femoral head.
[Table 2-1] Other centers of tetrahedron Position in Position in Centers 2D Geometry 3D Geometry Circumcenter A point where three A point where perpendicular bisectors
perpendicular bisecting intersect planes intersect Centroid A point where three A point where median medians intersect planes (Planes with a edge and its opposite edge's middle point) intersect Excenter A point where exterior A point where exterior angle bisectors intersect dihedral-bisecting planes intersect Centers Property Circumcenter Becomes the center of the circumcircle and the circumsphere, respectively Centroid Divides the line which connects a point and the opposite planes' centroid as 2:1, 3:1 respectively Excenter Becomes the center of the excircle and the exosphere, respectively
The centre for Figure 5a is obtained from the intersection of the perpendicular bisectors
of any two sides of the triangle.