# perpendicular bisector

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## perpendicular bisector

[‚pər·pən¦dik·yə·lər ′bī‚sek·tər]
(mathematics)
For a line segment in a plane or in space, the line or plane that is perpendicular to this segment and passes through its midpoint.
References in periodicals archive ?
angle bisector of angle BAC and the perpendicular bisector of BC.
point P when C moves along the perpendicular bisector n, they thought
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.
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.
Everyone knows that the medians of a triangle are concurrent, as are the altitudes and the perpendicular bisectors of the sides.

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