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The area of a circle is a mean proportional
between any two regular and similar polygons of which one
circumscribes it and the other is iso\-peri\-met\-ric with it.
In addition, the area of the circle is less than that of any
circumscribed polygon and greater than that of any
iso\-peri\-met\-ric polygon. And further, of these
circumscribed polygons, the one that has the greater number of sides
has a smaller area than the one that has a lesser number;
but, on the other hand, the iso\-peri\-met\-ric polygon that
has the greater number of sides is the larger.\linebreak\null

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