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An integral formula for convex sets in the Eucledean plane


Abstract


Let K be a bounded, closed,convex region in the Euclidean plane.The main purpose of this paper is to determine the measure of all sets congruent to K which are contained in a convex polygon.By the application of this result some geometric probability problems involving lattices of figures will be solved.

DOI Code: 10.1285/i15900932v10n2p247

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