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,
AX,BY,CZ are angle bisectors
, and AB,BC,CA 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 |