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What are bisectors?

What are bisectors? Here are some definitions.

Noun
  1. plural of bisector
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Examples
The right-hand example shows the menu displayed when you point the cursor at the point of intersection between the three bisectors of a triangle.
When it is perceived as a square one perceives a symmetry about the bisectors of the sides, and when it is perceived as a diamond one perceives a symmetry about the bisectors of its angles.
Located where the bisectors of a triangle's three angles intersect, the incenter is the center of the largest circle that can be inscribed inside that triangle.
Indeed, let L P, L Q and L R be the points of intersection of bisectors of angles CPB, AQC, and BRA with sides CB, AC and BA, respectively.
All area bisectors of a circle or other ellipse go through the center, and any chords through the center bisect the area.
It then follows from the Menelaus theorem, that every three such points are collinear provided all or two of the bisectors are external.

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