Geodesic
Planar sections and projections of three-dimensional convex bodies
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 131-133 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper discusses the following question: up to which precision, the parallel projection of a three-dimensional convex body can be approximated by the same projection of a plane section of the body. 
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V. V. Makeev; N. Yu. Netsvetaev. Planar sections and projections of three-dimensional convex bodies. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 13, Tome 476 (2018), pp. 131-133. http://geodesic.mathdoc.fr/item/ZNSL_2018_476_a8/

[1] B. Gryunbaum, Etyudy po kombinatornoi geometrii i teorii vypuklykh tel, Nauka, M., 1971

[2] A. Bielecki, K. Radziszewski, “Sur les parallélépipèdes inscrits dans les corps convexes”, Ann. Univ. Mariae Curie-Skłodowska, Sect. A, 8 (1954), 97–100 | MR

[3] V. V. Makeev, “Mnogougolniki, vpisannye v zamknutuyu krivuyu i trekhmernoe vypukloe telo”, Zap. nauchn. sem. POMI, 353, 2008, 116–125