Integral geometry about the visual angle of a convex set

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In this paper we deal with a general type of integral formulas of the visual angle, among them those of Crofton, Hurwitz and Masotti, from the point of view of Integral Geometry. The purpose is twofold: to provide an interpretation of these formulas in terms of integrals of functions with respect to the canonical density in the space of pairs of lines and to give new simpler proofs of them.
Original languageEnglish
Pages (from-to)-
Number of pages16
JournalRendiconti del Circolo Matematico di Palermo
Publication statusPublished - 1 Jan 2019


  • Convex set
  • Densities
  • Visual angle


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