Definition:Steiner Inellipse

Definition

Let $\triangle ABC$ be a triangle whose sides have midpoints $D, E, F$.

Then the unique ellipse which can be drawn wholly inside $\triangle ABC$ tangent to $D, E, F$ is called the Steiner inellipse:

Also see

• Results about the Steiner inellipse can be found here.

Source of Name

This entry was named for Jakob Steiner.

Sources

• Weisstein, Eric W. "Steiner Inellipse." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SteinerInellipse.html