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angle bisector (Definition)

For every angle, there exists a line that divides the angle into two equal parts. This line is called the angle bisector.

\includegraphics{angb.eps}

The interior bisector of an angle is the line or line segment that divides it into two equal angles on the same side as the angle.

The exterior bisector of an angle is the line or line segment that divides it into two equal angles on the opposite side as the angle.

For a triangle, the point where the angle bisectors of the three angles meet is called the incenter.




"angle bisector" is owned by giri.
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Other names:  interior angle bisector, exterior angle bisector

Attachments:
angle bisector as locus (Definition) by pahio
compass and straightedge construction of angle bisector (Algorithm) by Wkbj79
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Cross-references: incenter, point, triangle, opposite side, exterior, side, line segment, bisector, line, angle
There are 20 references to this entry.

This is version 1 of angle bisector, born on 2002-11-27.
Object id is 3623, canonical name is AngleBisector.
Accessed 19688 times total.

Classification:
AMS MSC51-00 (Geometry :: General reference works )

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