Tuesday, 1 October 2013

When is a convex polygon inscribable?

When is a convex polygon inscribable?

Defining the diameter of a convex polygon as the maximum possible distance
between all pairs of vertices, can we conclude that the convex polygon is
inscribable (i.e has all its sides as chords of a circle) if the diameter
isn't the diameter of the minimum bounding circle, in which case the
circumscribed circle is the minimum bounding circle?

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