| Version current |
Version 6 |
| The \emph{incenter} of a geometrical shape is the center of the |
The \emph{incenter} of a geometrical shape is the center of the |
| incircle (if it has any). The radius of the incircle is sometimes |
incircle (if it has any). The radius of the incircle is sometimes |
| called the \emph{inradius}. |
called the \emph{inradius}. |
|
|
| On a triangle the incenter always exists and it is the intersection |
On a triangle the incenter always exists and it is the intersection |
| point of the three internal angle bisectors. So in the next picture, |
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 |
$AX,BY,CZ$ are angle bisectors, and $AB,BC,CA$ are tangent to the |
| circle.\psfrag{A}{$A$}\psfrag{B}{$B$}\psfrag{C}{$C$}\psfrag{X}{$X$}\psfrag{Y}{$Y$}\psfrag{Z}{$Z$}\psfrag{I}{$I$} |
circle.\psfrag{A}{$A$}\psfrag{B}{$B$}\psfrag{C}{$C$}\psfrag{X}{$X$}\psfrag{Y}{$Y$}\psfrag{Z}{$Z$}\psfrag{I}{$I$} |
| \figura{incentre} |
\figura{incentre} |
