orthic triangle
If is a triangle and are its three heights (http://planetmath.org/BaseAndHeightOfTriangle), then the triangle is called the orthic triangle of .
A remarkable property of orthic triangles says that the orthocenter of is also the incenter of the orthic triangle . That is, the heights of are the angle bisectors of .
Title | orthic triangle |
Canonical name | OrthicTriangle |
Date of creation | 2013-03-22 12:11:00 |
Last modified on | 2013-03-22 12:11:00 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 8 |
Author | drini (3) |
Entry type | Definition |
Classification | msc 51-00 |
Related topic | Triangle |
Related topic | Orthocenter |
Related topic | EulerLine |
Related topic | CevasTheorem |
Related topic | CyclicQuadrilateral |
Related topic | TrigonometricVersionOfCevasTheorem |
Related topic | BaseAndHeightOfTriangle |