References
Aleksandrov, A.D.: Zur Theorie der gemischten Volumina von konvexen Körpern I, II, III (Russian with German summary). Mat. USSR Shorn.2, 947–972, 1205–1238 (1937),3, 27–46 (1938)
Fenchel, W., Jessen, B.: Mengenfunktionen und konvexe Körper. Danske Vid. Selsk. Mat.—Fys. Medd.16, 1–31 (1938)
Fujiwara, M.: Ein Satz über konvexe geschlossene Kurven, Sci. Rept. Tôhoku Univ.9, 289–294 (1920)
Goodey, P.R.: Intersections of circles and curves of constant width. Math. Ann.208, 49–58 (1974)
Goodey, P.R., Woodcock, M.M.: A characterization of sets of constant width. Math. Ann.238, 15–21 (1978)
Hombu, H.: Notes on closed convex curves. Tôhoku Math. J.33, 72–77 (1930)
Kojima, T.: On the curvature of the closed convex curve. Tôhoku Math. J.21, 15–20 (1922)
Kubota, T.: Notes on closed convex curves. Tôhoku Math. J.21, 21–23 (1922)
Natanson, I.P.: Theory of functions of a real variable (Vol. I). New York: Ungar 1955
Peterson, B.B.: Do self-intersections characterize curves of constant width? Am. Math. Monthly79, 505–506 (1972)
Peterson, B.B.: Intersection properties of curves of constant width. Ill. J. Math.17, 411–420 (1973)
Rudin, W.: Real and complex analysis. Ljubljana: McGraw-Hill 1970
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Goodey, P.R. Intersections of planar convex curves. Math. Ann. 267, 145–159 (1984). https://doi.org/10.1007/BF01579197
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DOI: https://doi.org/10.1007/BF01579197