The unique Ellipse tangent to the Midpoints of a Triangle's Legs. The midpoint ellipse has the maximum Area of any Inscribed Ellipse (Chakerian 1979). Under an Affine Transformation, the midpoint ellipse can be transformed into the Incircle of an Equilateral Triangle.

**References**

*Central Similarities.* University of Minnesota College Geometry Project. Distributed by International Film Bureau, Inc.

Chakerian, G. D. ``A Distorted View of Geometry.'' Ch. 7 in *Mathematical Plums* (Ed. R. Honsberger).
Washington, DC: Math. Assoc. Amer., pp. 135-136 and 145-146, 1979.

Pedoe, D. ``Thinking Geometrically.'' *Amer. Math. Monthly* **77**, 711-721, 1970.

© 1996-9

1999-05-26