Definition:Excircle of Triangle/Excenter
< Definition:Excircle of Triangle(Redirected from Definition:Ex-Center of Triangle)
Jump to navigation
Jump to search
Definition
The center of an excircle of a triangle is called an excenter of the triangle.
In the above diagram, $I_a$ is the excenter of $\triangle ABC$ with respect to $a$.
Also known as
In British English the spelling is usually excentre.
Some (usually older) sources refer to this as an ex-center or ex-centre.
The term ecenter or ecentre can also be found, particularly in the U.S.
Also see
- Results about excenters of triangles can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): excentre
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): excentre (ecentre)