1. Only two of the three bisectors are needed to find the centre. 2. The intersections of these angle bisectors give the centers of solution circles. 3. Cayley-Klein Voronoi diagrams are affine diagrams with linear hyperplane bisectors . 4. The circumcenter of a triangle can be perpendicular bisectors . 5. The perpendicular bisectors of the sides also play a prominent role in triangle geometry. 6. The cleavers are parallel to the angle bisectors . 7. Hence, the center is the point of intersection of any two perpendicular bisectors . 8. The intersection P of these two bisectors is the pole of the planar displacement. 9. The perpendicular bisectors of any two sides of a triangle intersect in exactly one point. 10. In a triangle, four basic types of sets of concurrent lines are perpendicular bisectors :