Jakob Steiner was one of the greatest geometers of all time, according to some. He detested analytical geometry, which according to him contaminated “pure” geometry.

In this field, Steiner is best known for his ellipses circumscribed and inscribed in a triangle. The Steiner circumellipse is the only ellipse that passes through the three vertices of a triangle and whose center is the centroid or centroid of the same. The surface area of ​​the Steiner inellipso is a quarter of that of the Steinercircunelipse.