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Revision difference : triangle center
Version 6 Version 5
On every triangle there are points where special lines or circles intersect, and those points usually have very interesting geometrical properties. Such points are called \emph{triangle centers.} On every triangle there are points where special lines or circles intersect, and those points usually have very interesting geometrical properties. Such points are called \emph{triangle centers.}
Some examples of triangle centers are incenter, orthocenter, centroid, circumcenter, excenters, Feuerbach point, Fermat points, etc. Some examples of triangle centers are incenter, orthocenter, centroid, circumcenter, excenters, Feuerbach point, Fermat points, etc.
For an online reference please check the For an online reference please check the
\PMlinkexternal{Triangle Centers}{http://faculty.evansville.edu/ck6/tcenters/} page. \PMlinkexternal{Triangle Centers}{http://cedar.evansville.edu/~ck6/tcenters/} page.
Here's a drawing I made showing the most important lines and centers of a triangle Here's a drawing I made showing the most important lines and centers of a triangle
\begin{center} \begin{center}
\figuraex{triangulo}{scale=0.75} \figuraex{triangulo}{scale=0.75}
\end{center} \end{center}
{\footnotesize(XEukleides \PMlinktofile{source code}{triangulo.euk} for the drawing)} {\footnotesize(XEukleides \PMlinktofile{source code}{triangulo.euk} for the drawing)}