incenter
The incenter of a geometrical shape is the center of the incircle (if it has any). The radius of the incircle is sometimes called the inradius.
On a triangle the incenter always exists and it is the intersection point of the three internal angle bisectors. So in the next picture, are angle bisectors, and are tangent to the circle.
Title | incenter |
Canonical name | Incenter |
Date of creation | 2013-03-22 12:11:12 |
Last modified on | 2013-03-22 12:11:12 |
Owner | mps (409) |
Last modified by | mps (409) |
Numerical id | 11 |
Author | mps (409) |
Entry type | Definition |
Classification | msc 51M99 |
Synonym | incentre |
Related topic | Incircle |
Related topic | LengthsOfAngleBisectors |
Related topic | AngleBisectorAsLocus |
Related topic | Orthocenter |
Related topic | Triangle |
Related topic | CevasTheorem |
Related topic | LemoinePoint |
Related topic | GergonnePoint |
Related topic | GergonneTriangle |
Related topic | TrigonometricVersionOfCevasTheorem |
Defines | inradius |