Definition:Incircle of Triangle
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Definition
The incircle of a triangle is the circle tangent to each side of the triangle.
This circle is said to be inscribed in the triangle.
Incenter
The center of an incircle of a triangle is called an incenter of the triangle.
Inradius
A radius of an incircle of a triangle is called an inradius of the triangle.
In the above diagram, $r$ is an inradius.
Also see
- Results about incircles of triangles can be found here.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): incircle
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): incircle
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): inscribed circle (of a triangle)