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AN ELEMENTARY PROOF OF SFORZA-SANTALÓ RELATION FOR SPHERICAL AND HYPERBOLIC POLYHEDRA

AN ELEMENTARY PROOF OF SFORZA-SANTALÓ RELATION FOR SPHERICAL AND HYPERBOLIC POLYHEDRA

We defined and studied a naturally extended hyperbolic space (see [1] and [2]). In this study, we describe Sforza's formula [7] and Santal<TEX>$\acute{o}$</TEX>'s formula [6], which were rediscovered and later discussed by many mathematicians (Milnor [4], Su<TEX>$\acute{a}$</TEX>rez-Peir<TEX>$\acute{o}$</TEX> [8], J. Murakami and Ushijima [5], and Mednykh [3]) in the spherical space …