Definition:Excircle of Triangle/Exradius
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Definition
A radius of an excircle of a triangle is called an exradius of the triangle.
In the above diagram, $r_a$ is the exradius of $\triangle ABC$ with respect to $a$.
Also known as
An exradius is also known as an eradius.
Some (usually older) sources hyphenate: ex-radius.
Also see
- Results about exradii of triangles can be found here.
Linguistic Note
The plural form of exradius is exradii.
Similarly, the plural form of eradius is eradii.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): exradius or eradius
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): exradius (eradius)