Optimizing the perimeter and the area of convex sets with fixed diameter and circumradius
We determine the planar convex sets which have the minimum area or perimeter when the diameter and the circumradius are prescribed. We use then these results to obtain the complete systems of inequalities for the cases (p, d, R) and (A, d, R).
KeywordsComplete System Minimum Area Planar Convex Fixed Diameter
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